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BT 279.137 716.845 Td /F2 24.0 Tf [(Schedule)] TJ ET
BT 282.404 677.782 Td /F2 18.0 Tf [(Events for:)] TJ ET
BT 167.150 656.355 Td /F2 18.0 Tf [(Monday, March 2nd - Friday, March 6th)] TJ ET
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BT 263.503 620.083 Td /F2 14.0 Tf [(Monday, March 2nd)] TJ ET
BT 36.266 602.206 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 82.968 601.601 Td /F2 12.0 Tf [(Breakfast and Registration - SCGP Cafe)] TJ ET
BT 36.266 581.950 Td /F1 12.0 Tf [(9:45am)] TJ ET
BT 82.968 581.345 Td /F2 12.0 Tf [(Steffen Rohde - SCGP 102)] TJ ET
BT 82.968 551.974 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 551.974 Td /F1 12.0 Tf [(Steffen Rohde )] TJ ET
BT 82.968 523.174 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 523.174 Td /F1 12.0 Tf [(Conformal welding in probability and dynamics )] TJ ET
BT 82.968 494.489 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 494.489 Td /F1 12.0 Tf [(Conformal welding is the process of glueing two Riemann surfaces along their )] TJ ET
BT 82.968 480.233 Td /F1 12.0 Tf [(boundaries to obtain a new surface with additional structure. I will discuss some results and open )] TJ ET
BT 82.968 465.862 Td /F1 12.0 Tf [(questions related to conformal welding, both in the deterministic and the probabilistic setting. )] TJ ET
BT 36.266 422.782 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 82.968 422.177 Td /F2 12.0 Tf [(Silvia Ghinassi - SCGP 102)] TJ ET
BT 82.968 392.806 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 392.806 Td /F1 12.0 Tf [(Silvia Ghinassi )] TJ ET
BT 82.968 364.006 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 364.006 Td /F1 12.0 Tf [(Bishop-Jones' square functions and higher order rectifiability )] TJ ET
BT 82.968 335.321 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 335.321 Td /F1 12.0 Tf [(We will discuss sufficient conditions for higher order rectifiability of sets and measures. )] TJ ET
BT 82.968 321.065 Td /F1 12.0 Tf [(On the way we obtain sufficient conditions for a Reifenberg flat set to be parametrized by a )] TJ ET
BT 82.968 306.809 Td /F1 12.0 Tf [(Lipschitz map with Hölder derivatives. Finally, we will provide an example to show that the )] TJ ET
BT 82.968 292.438 Td /F1 12.0 Tf [(conditions are in fact not necessary. )] TJ ET
BT 36.266 249.358 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 82.968 248.753 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 229.102 Td /F1 12.0 Tf [(1:20pm)] TJ ET
BT 82.968 228.497 Td /F2 12.0 Tf [(Russell Lyons - SCGP 102)] TJ ET
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BT 82.968 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 732.214 Td /F1 12.0 Tf [(Russell Lyons )] TJ ET
BT 82.968 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 703.414 Td /F1 12.0 Tf [(Random Walks on Dyadic Lattice Graphs and Their Duals )] TJ ET
BT 82.968 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 674.729 Td /F1 12.0 Tf [(We will discuss recent work that has several surprising connections to our honoree, Chris )] TJ ET
BT 82.968 660.473 Td /F1 12.0 Tf [(Bishop. Dyadic lattice graphs and their duals are commonly used as discrete approximations to the )] TJ ET
BT 82.968 646.217 Td /F1 12.0 Tf [(hyperbolic plane. We use them to give examples of random rooted graphs that are stationary for )] TJ ET
BT 82.968 631.961 Td /F1 12.0 Tf [(simple random walk, but whose duals have only a singular stationary measure. This answers a )] TJ ET
BT 82.968 617.705 Td /F1 12.0 Tf [(question of Curien and shows behaviour different from the unimodular case. The consequence is )] TJ ET
BT 82.968 603.449 Td /F1 12.0 Tf [(that planar duality does not combine well with stationary random graphs. We also study harmonic )] TJ ET
BT 82.968 589.193 Td /F1 12.0 Tf [(measure on dyadic lattice graphs and show its singularity. Much interesting behaviour observed )] TJ ET
BT 82.968 574.937 Td /F1 12.0 Tf [(numerically remains to be explained. No background will be assumed for the talk. This is joint )] TJ ET
BT 82.968 560.566 Td /F1 12.0 Tf [(work with Graham White )] TJ ET
BT 36.266 517.486 Td /F1 12.0 Tf [(2:20pm)] TJ ET
BT 82.968 516.881 Td /F2 12.0 Tf [(Ten Minute Break)] TJ ET
BT 36.266 497.230 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 82.968 496.625 Td /F2 12.0 Tf [(Yilin Wang - SCGP 102)] TJ ET
BT 82.968 467.254 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 467.254 Td /F1 12.0 Tf [(Yilin Wang )] TJ ET
BT 82.968 438.454 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 438.454 Td /F1 12.0 Tf [(The duality of Loewner energy and foliations by Weil-Petersson quasicircles )] TJ ET
BT 82.968 409.769 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 409.769 Td /F1 12.0 Tf [(TThe Loewner energy is the large deviation rate function of SLE_0+ and a Jordan curve )] TJ ET
BT 82.968 395.513 Td /F1 12.0 Tf [(has finite Loewner energy if and only if it is a Weil-Petersson quasicircle. The dual Loewner )] TJ ET
BT 82.968 381.257 Td /F1 12.0 Tf [(energy, introduced in a recent joint work with Morris Ang and Minjae Park \(MIT\), is the large )] TJ ET
BT 82.968 367.001 Td /F1 12.0 Tf [(deviation rate function of SLE_infinity. In this talk, I will present the duality between these two )] TJ ET
BT 82.968 352.745 Td /F1 12.0 Tf [(energies via foliations of the Riemann sphere by Weil-Petersson quasicircles. This is an upcoming )] TJ ET
BT 82.968 338.374 Td /F1 12.0 Tf [(joint work with Fredrik Viklund \(KTH\). )] TJ ET
BT 36.266 295.294 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 82.968 294.689 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby)] TJ ET
BT 36.266 275.038 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 82.968 274.433 Td /F2 12.0 Tf [(Simons Lectures: Stanislav Smirnov - SCGP 103)] TJ ET
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BT 82.968 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 732.214 Td /F1 12.0 Tf [(Stanislav Smirnov )] TJ ET
BT 82.968 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 703.414 Td /F1 12.0 Tf [(2D percolation revisited Part 1 )] TJ ET
BT 82.968 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 674.729 Td /F1 12.0 Tf [(Percolation is a mathematical model for the filtering of a liquid through a porous )] TJ ET
BT 82.968 660.473 Td /F1 12.0 Tf [(material or the spread of a forest fire or an epidemic: the edges of some graph are declared open or )] TJ ET
BT 82.968 646.217 Td /F1 12.0 Tf [(closed depending on independent coin tosses, and then connected open clusters are studied. While )] TJ ET
BT 82.968 631.961 Td /F1 12.0 Tf [(simple to define, this model exhibits very complicated behavior, with non-trivial scaling exponents )] TJ ET
BT 82.968 617.705 Td /F1 12.0 Tf [(and dimensions. Centering on the 2D setting, we will discuss simple proofs of some important )] TJ ET
BT 82.968 603.449 Td /F1 12.0 Tf [(theorems, connection of percolation to other models, as well as remaining open questions.In the )] TJ ET
BT 82.968 589.193 Td /F1 12.0 Tf [(first lecture, we will review the definition of the model, describe its properties and relation to other )] TJ ET
BT 82.968 574.937 Td /F1 12.0 Tf [(models, such as the Ising model of a ferromagnet. We will also give new short proofs of some )] TJ ET
BT 82.968 560.681 Td /F1 12.0 Tf [(important facts, such as the sharpness of phase transition — roughly speaking, if one increases )] TJ ET
BT 82.968 546.425 Td /F1 12.0 Tf [(proportion of open edges beyond some "critical value", the liquid suddenly starts percolating )] TJ ET
BT 82.968 532.169 Td /F1 12.0 Tf [(everywhere. In the second lecture, we will discuss the phenomenon of conformal invariance, which )] TJ ET
BT 82.968 517.913 Td /F1 12.0 Tf [(occurs at criticality. It allows to connect percolation scaling limit to the Oded Schramm's SLE )] TJ ET
BT 82.968 503.657 Td /F1 12.0 Tf [(process and establish exact values of various dimensions and exponents, rigorously proving )] TJ ET
BT 82.968 489.401 Td /F1 12.0 Tf [(predictions from Conformal Field Theory. We will also present a short version of the conformal )] TJ ET
BT 82.968 475.145 Td /F1 12.0 Tf [(invariance proof, based on joint work with Mikhail Khristoforov. In the third lecture, we will tell )] TJ ET
BT 82.968 460.889 Td /F1 12.0 Tf [(how a reaction-diffusion process in biological context leads to a rather surprising appearance of )] TJ ET
BT 82.968 446.633 Td /F1 12.0 Tf [(percolation and Ising-like colorings of the skin of Mediterranean lizards. The three lectures can be )] TJ ET
BT 82.968 432.262 Td /F1 12.0 Tf [(attended independently. Much of contents is accessible to advanced undergraduate students. )] TJ ET
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BT 263.895 385.927 Td /F2 14.0 Tf [(Tuesday, March 3rd)] TJ ET
BT 36.266 368.050 Td /F1 12.0 Tf [(8:00am)] TJ ET
BT 82.968 367.445 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 347.794 Td /F1 12.0 Tf [(9:00am)] TJ ET
BT 82.968 347.189 Td /F2 12.0 Tf [(Xavier Tolsa - SCGP 102)] TJ ET
BT 82.968 317.818 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 317.818 Td /F1 12.0 Tf [(Xavier Tolsa )] TJ ET
BT 82.968 289.018 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 289.018 Td /F1 12.0 Tf [(The $\\varepsilon^2$-conjecture of Carleson )] TJ ET
BT 82.968 260.333 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 260.333 Td /F1 12.0 Tf [(In this talk I will explain a recent result obtained in collaboration with Ben Jaye and )] TJ ET
BT 82.968 246.077 Td /F1 12.0 Tf [(Michele Villa where we prove the so called $\\varepsilon^2$-conjecture of Carleson. This result )] TJ ET
BT 82.968 231.821 Td /F1 12.0 Tf [(yields a characterization \(up to sets of zero length\) of the tangent points of a Jordan curve in the )] TJ ET
BT 82.968 217.565 Td /F1 12.0 Tf [(plane in terms of the finiteness of the associated Carleson's $\\varepsilon^2$-function. The proof is )] TJ ET
BT 82.968 203.194 Td /F1 12.0 Tf [(based on blowup methods and techniques of quantitative rectifiability. )] TJ ET
BT 36.266 160.114 Td /F1 12.0 Tf [(10:00am)] TJ ET
BT 82.968 159.509 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 139.858 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 82.968 139.253 Td /F2 12.0 Tf [(Svitlana Mayboroda - SCGP 102)] TJ ET
BT 82.968 109.882 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 109.882 Td /F1 12.0 Tf [(Svitlana Mayboroda )] TJ ET
BT 82.968 81.082 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 81.082 Td /F1 12.0 Tf [(Harmonic measure for domains with a high co-dimensional boundary I )] TJ ET
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BT 36.266 744.934 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 82.968 744.329 Td /F2 12.0 Tf [(Lunch and Poster Session - SCGP Cafe - Poster Sessions in lower Lobby)] TJ ET
BT 36.266 724.678 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 82.968 724.073 Td /F2 12.0 Tf [(Poster Session 1 - SCGP Cafe, )] TJ ET
BT 82.968 694.817 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 694.817 Td /F1 12.0 Tf [( Jack Burkart on )] TJ ET
BT 213.948 694.817 Td /F2 12.0 Tf [(Julia sets of transcendental entire functions with fractional packing )] TJ ET
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BT 82.968 680.446 Td /F2 12.0 Tf [(dimensions)] TJ ET
0.6 w 0 J [ ] 0 d
82.968 677.746 m 140.316 677.746 l S
BT 82.968 666.161 Td /F3 12.0 Tf [(Due to the work of Baker, along with explicit examples from McMullen, Stallard, and Bishop, it is )] TJ ET
BT 82.968 651.905 Td /F3 12.0 Tf [(known that the Julia sets of transcendental \(non-polynomial\) entire functions can have any value of )] TJ ET
BT 82.968 637.649 Td /F3 12.0 Tf [(Hausdorff dimension in $[1,2]$. What about other notions of dimension? If one instead considers )] TJ ET
BT 82.968 623.393 Td /F3 12.0 Tf [(packing dimension, a modified version of the Minkowski or box counting dimension, less is known. )] TJ ET
BT 82.968 609.137 Td /F3 12.0 Tf [(Bishop's example above has Julia set with packing dimension equal to $1$, but all other computed )] TJ ET
BT 82.968 594.881 Td /F3 12.0 Tf [(packing dimensions are equal to $2$. In my thesis, I partially fill in this gap by constructing explicit )] TJ ET
BT 82.968 580.625 Td /F3 12.0 Tf [(examples whose Julia sets have packing dimensions that form a dense subset of $[1,2]$. In this )] TJ ET
BT 82.968 566.254 Td /F3 12.0 Tf [(poster, I will outline how these examples are constructed. )] TJ ET
BT 82.968 537.569 Td /F2 12.0 Tf [(Speaker)] TJ ET
BT 124.968 537.569 Td /F1 12.0 Tf [(: Christina Karafyllia on )] TJ ET
BT 244.956 537.569 Td /F2 12.0 Tf [(Conformal invariants and membership of conformal maps in )] TJ ET
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BT 82.968 523.198 Td /F2 12.0 Tf [(Hardy spaces)] TJ ET
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82.968 520.498 m 151.968 520.498 l S
BT 82.968 508.913 Td /F3 12.0 Tf [(A classical problem in geometric function theory is to find the Hardy number of a region by looking )] TJ ET
BT 82.968 494.657 Td /F3 12.0 Tf [(at its geometric properties. Poggi-Corradini gave necessary and sufficient conditions for conformal )] TJ ET
BT 82.968 480.401 Td /F3 12.0 Tf [(maps to belong to some Hardy space by studying the harmonic measure in the image region. )] TJ ET
BT 82.968 466.145 Td /F3 12.0 Tf [(Answering a question he posed in 1996, we also prove a necessary and sufficient integral condition )] TJ ET
BT 82.968 451.889 Td /F3 12.0 Tf [(for whether a conformal map of the unit disk belongs to some Hardy space by studying the )] TJ ET
BT 82.968 437.633 Td /F3 12.0 Tf [(hyperbolic metric in its image region. Moreover, in 2011 Kim and Sugawa proved a formula of )] TJ ET
BT 82.968 423.377 Td /F3 12.0 Tf [(computing the Hardy number of a simply connected domain in terms of harmonic measure. We also )] TJ ET
BT 82.968 409.121 Td /F3 12.0 Tf [(establish a limit formula of computing the Hardy number by studying the hyperbolic distance in the )] TJ ET
BT 82.968 394.750 Td /F3 12.0 Tf [(simply connected domain.)] TJ ET
BT 82.968 351.550 Td /F2 12.0 Tf [(Speaker)] TJ ET
BT 124.968 351.550 Td /F1 12.0 Tf [(: Tania Gricel)] TJ ET
BT 191.616 351.550 Td /F2 12.0 Tf [( )] TJ ET
BT 194.616 351.550 Td /F1 12.0 Tf [(on)] TJ ET
BT 206.616 351.550 Td /F2 12.0 Tf [( )] TJ ET
BT 209.616 351.550 Td /F2 12.0 Tf [(Julia continua of transcendental entire functions)] TJ ET
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BT 82.968 337.265 Td /F3 12.0 Tf [(Recently Rempe-Gillen gave an almost complete description of the possible topology of the Julia )] TJ ET
BT 82.968 323.009 Td /F3 12.0 Tf [(continua of disjoint-type functions. In particular, he constructed a function where all Julia continua )] TJ ET
BT 82.968 308.638 Td /F3 12.0 Tf [(are pseudo-arcs, however this arises as a special case of a more general construction.)] TJ ET
BT 82.968 294.353 Td /F3 12.0 Tf [(In this poster, we discuss how to construct a disjoint-type function such that all Julia continua are )] TJ ET
BT 82.968 280.097 Td /F3 12.0 Tf [(pseudo-arcs using a different technique which is more explicit, and as a result we obtain better )] TJ ET
BT 82.968 265.726 Td /F3 12.0 Tf [(control over the lower order of growth of the function. )] TJ ET
BT 82.968 222.641 Td /F2 12.0 Tf [(Speaker)] TJ ET
BT 124.968 222.641 Td /F1 12.0 Tf [(: Leticia Pardo-Simon on )] TJ ET
BT 248.964 222.641 Td /F2 12.0 Tf [(Entire functions whose maximum modulus set has prescribed )] TJ ET
0.6 w 0 J [ ] 0 d
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BT 82.968 208.270 Td /F2 12.0 Tf [(discontinuities )] TJ ET
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82.968 205.570 m 159.984 205.570 l S
BT 82.968 193.985 Td /F3 12.0 Tf [(In 1909, Hardy gave an example of a transcendental entire function f so that the set of points where )] TJ ET
BT 82.968 179.729 Td /F3 12.0 Tf [(f achieves its maximum modulus, M\(f\), has infinitely many discontinuities. This is one of only two )] TJ ET
BT 82.968 165.473 Td /F3 12.0 Tf [(known examples of such a function. We significantly generalize these examples. In particular, we )] TJ ET
BT 82.968 151.217 Td /F3 12.0 Tf [(show that given an increasing sequence of positive real numbers tending to infinity, there is a )] TJ ET
BT 82.968 136.961 Td /F3 12.0 Tf [(transcendental entire function, f, such that M\(f\) has discontinuities with moduli at all these values. )] TJ ET
BT 82.968 122.590 Td /F3 12.0 Tf [(This is joint work with Dave Sixsmith. )] TJ ET
BT 36.266 53.110 Td /F1 12.0 Tf [(11:31am)] TJ ET
BT 82.968 52.505 Td /F2 12.0 Tf [(Poster Session 2 - SCGP Cafe, )] TJ ET
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BT 82.968 732.329 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 732.329 Td /F1 12.0 Tf [( Bruno Poggi on )] TJ ET
BT 213.972 732.329 Td /F2 12.0 Tf [(Carleson perturbations of elliptic operators on domains with higher-)] TJ ET
0.6 w 0 J [ ] 0 d
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BT 82.968 717.958 Td /F2 12.0 Tf [(codimensional boundaries)] TJ ET
0.6 w 0 J [ ] 0 d
82.968 715.258 m 216.660 715.258 l S
BT 82.968 703.673 Td /F3 12.0 Tf [(We prove an analogue of a perturbation result for the Dirichlet problem of divergence form elliptic )] TJ ET
BT 82.968 689.302 Td /F3 12.0 Tf [(operators by Fefferman, Kenig and Pipher, for the degenerate)] TJ ET
BT 82.968 675.017 Td /F3 12.0 Tf [(elliptic operators of David, Feneuil and Mayboroda, which were developed to study geometric and )] TJ ET
BT 82.968 660.761 Td /F3 12.0 Tf [(analytic properties of sets with boundaries whose co-dimension is higher than 1. These operators )] TJ ET
BT 82.968 646.505 Td /F3 12.0 Tf [(are of the form $?\\operatorname{div}A\\nabla$, where $A is a degenerate elliptic matrix carefully )] TJ ET
BT 82.968 632.249 Td /F3 12.0 Tf [(crafted to weigh the distance to the high co-dimension boundary in a way that allows the )] TJ ET
BT 82.968 617.993 Td /F3 12.0 Tf [(nourishment of an elliptic theory. When this boundary is a $d$?Alhfors-David regular set, we prove )] TJ ET
BT 82.968 603.737 Td /F3 12.0 Tf [(that the membership of the harmonic measure in $A_{\\infty}$ is preserved under suitably small )] TJ ET
BT 82.968 589.481 Td /F3 12.0 Tf [(Carleson-measure perturbations of the degenerate elliptic matrix $A$, yielding in turn that the )] TJ ET
BT 82.968 575.225 Td /F3 12.0 Tf [($L_p$?solvability of the Dirichlet problem is also stable under these perturbations \(with possibly )] TJ ET
BT 82.968 560.969 Td /F3 12.0 Tf [(different $p$\). The method of proof follows an analogue of the extrapolation technique of Hofmann )] TJ ET
BT 82.968 546.713 Td /F3 12.0 Tf [(and Martell applied to divergence form elliptic operators, and the use of projection operators to )] TJ ET
BT 82.968 532.342 Td /F3 12.0 Tf [(sawtooth domains.This is joint work with Svitlana Mayboroda.)] TJ ET
BT 82.968 489.257 Td /F2 12.0 Tf [(Speaker)] TJ ET
BT 124.968 489.257 Td /F1 12.0 Tf [(: James Waterman on )] TJ ET
BT 231.612 489.257 Td /F2 12.0 Tf [(Wiman-Valiron discs and the Hausdorff dimension of Julia sets )] TJ ET
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231.612 486.557 m 559.308 486.557 l S
BT 82.968 474.886 Td /F2 12.0 Tf [(of meromorphic functions.)] TJ ET
0.6 w 0 J [ ] 0 d
82.968 472.186 m 219.288 472.186 l S
BT 82.968 460.601 Td /F3 12.0 Tf [(The Hausdorff dimension of the Julia set of transcendental entire and meromorphic functions has )] TJ ET
BT 82.968 446.345 Td /F3 12.0 Tf [(been widely studied. We review results concerning the Hausdorff dimension of these sets starting )] TJ ET
BT 82.968 432.089 Td /F3 12.0 Tf [(with those of Baker in 1975 and continuing to recent work of Bishop. In particular, Baranski, )] TJ ET
BT 82.968 417.833 Td /F3 12.0 Tf [(Karpinska, and Zdunik proved that the Hausdorff dimension of the set of points of bounded orbit in )] TJ ET
BT 82.968 403.577 Td /F3 12.0 Tf [(the Julia set of a meromorphic function with a particular type of domain called a logarithmic tract )] TJ ET
BT 82.968 389.321 Td /F3 12.0 Tf [(is greater than one. We discuss generalizing this result to meromorphic maps with a simply )] TJ ET
BT 82.968 375.065 Td /F3 12.0 Tf [(connected direct tract and certain restrictions on the singular values of these maps. In order to )] TJ ET
BT 82.968 360.809 Td /F3 12.0 Tf [(accomplish this, we develop tools from Wiman-Valiron theory, showing that some tracts contain a )] TJ ET
BT 82.968 346.438 Td /F3 12.0 Tf [(dramatically larger disk about maximum modulus points than previously known.)] TJ ET
BT 82.968 317.753 Td /F2 12.0 Tf [(Speaker)] TJ ET
BT 124.968 317.753 Td /F1 12.0 Tf [(: Aron Wennman on )] TJ ET
BT 226.284 317.753 Td /F2 12.0 Tf [(The emergence of quadrature domains on the hole event for )] TJ ET
0.6 w 0 J [ ] 0 d
226.284 315.053 m 535.584 315.053 l S
BT 82.968 303.382 Td /F2 12.0 Tf [(Gaussian random zeros.)] TJ ET
0.6 w 0 J [ ] 0 d
82.968 300.682 m 206.640 300.682 l S
BT 82.968 289.097 Td /F3 12.0 Tf [(The poster concerns the zero distribution of the planar Gaussian Entire Function, conditioned on )] TJ ET
BT 82.968 274.841 Td /F3 12.0 Tf [(the event that the zero set does not intersect a given domain. On this event, there is an accumulation )] TJ ET
BT 82.968 260.585 Td /F3 12.0 Tf [(of zeros on the boundary of the hole, but \(surprisingly\) they tend to avoid a larger forbidden region )] TJ ET
BT 82.968 246.214 Td /F3 12.0 Tf [(outside the hole.)] TJ ET
BT 82.968 231.929 Td /F3 12.0 Tf [(In ongoing work with Alon Nishry, we study this problem, in particular the shape of the forbidden )] TJ ET
BT 82.968 217.673 Td /F3 12.0 Tf [(region. We find a curious connection to quadrature domains — a specific class of algebraic )] TJ ET
BT 82.968 203.302 Td /F3 12.0 Tf [(domains, which can be thought of as potential theoretic sums of disks.)] TJ ET
BT 36.266 145.822 Td /F1 12.0 Tf [(1:20pm)] TJ ET
BT 82.968 145.217 Td /F2 12.0 Tf [(Guy David - SCGP 103)] TJ ET
BT 82.968 115.961 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 115.961 Td /F1 12.0 Tf [(Guy David Title : Harmonic measure for domains with a high co-dimensional boundary )] TJ ET
BT 82.968 101.705 Td /F1 12.0 Tf [(II Abstract. This lecture is seen as a complement of S. Mayboroda's, but I'll try to make it largely )] TJ ET
BT 82.968 87.449 Td /F1 12.0 Tf [(independent. The there is a study that we started with M. Engelstein, J. Feneuil, and S. Mayboroda, )] TJ ET
BT 82.968 73.193 Td /F1 12.0 Tf [(concerning the relation between the geometry of a domain $\\Omega$ and the absolute continuity of )] TJ ET
BT 82.968 58.822 Td /F1 12.0 Tf [(harmonic measures when the boundary $\\Gamma$ is Ahlfors regular of some dimension $d )] TJ ET
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BT 36.266 744.934 Td /F1 12.0 Tf [(2:20pm)] TJ ET
BT 82.968 744.329 Td /F2 12.0 Tf [(Ten Minute Break)] TJ ET
BT 36.266 724.678 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 82.968 724.073 Td /F2 12.0 Tf [(Simons Lecture: Stanislav Smirnov - SCGP 103)] TJ ET
BT 82.968 694.702 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 694.702 Td /F1 12.0 Tf [(Stanislav Smirnov )] TJ ET
BT 82.968 665.902 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 665.902 Td /F1 12.0 Tf [(2D percolation revisited Part 2 )] TJ ET
BT 82.968 637.217 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 637.217 Td /F1 12.0 Tf [(Percolation is a mathematical model for the filtering of a liquid through a porous )] TJ ET
BT 82.968 622.961 Td /F1 12.0 Tf [(material or the spread of a forest fire or an epidemic: the edges of some graph are declared open or )] TJ ET
BT 82.968 608.705 Td /F1 12.0 Tf [(closed depending on independent coin tosses, and then connected open clusters are studied. While )] TJ ET
BT 82.968 594.449 Td /F1 12.0 Tf [(simple to define, this model exhibits very complicated behavior, with non-trivial scaling exponents )] TJ ET
BT 82.968 580.193 Td /F1 12.0 Tf [(and dimensions. Centering on the 2D setting, we will discuss simple proofs of some important )] TJ ET
BT 82.968 565.937 Td /F1 12.0 Tf [(theorems, connection of percolation to other models, as well as remaining open questions.In the )] TJ ET
BT 82.968 551.681 Td /F1 12.0 Tf [(first lecture, we will review the definition of the model, describe its properties and relation to other )] TJ ET
BT 82.968 537.425 Td /F1 12.0 Tf [(models, such as the Ising model of a ferromagnet. We will also give new short proofs of some )] TJ ET
BT 82.968 523.169 Td /F1 12.0 Tf [(important facts, such as the sharpness of phase transition — roughly speaking, if one increases )] TJ ET
BT 82.968 508.913 Td /F1 12.0 Tf [(proportion of open edges beyond some "critical value", the liquid suddenly starts percolating )] TJ ET
BT 82.968 494.657 Td /F1 12.0 Tf [(everywhere. In the second lecture, we will discuss the phenomenon of conformal invariance, which )] TJ ET
BT 82.968 480.401 Td /F1 12.0 Tf [(occurs at criticality. It allows to connect percolation scaling limit to the Oded Schramm's SLE )] TJ ET
BT 82.968 466.145 Td /F1 12.0 Tf [(process and establish exact values of various dimensions and exponents, rigorously proving )] TJ ET
BT 82.968 451.889 Td /F1 12.0 Tf [(predictions from Conformal Field Theory. We will also present a short version of the conformal )] TJ ET
BT 82.968 437.633 Td /F1 12.0 Tf [(invariance proof, based on joint work with Mikhail Khristoforov. In the third lecture, we will tell )] TJ ET
BT 82.968 423.377 Td /F1 12.0 Tf [(how a reaction-diffusion process in biological context leads to a rather surprising appearance of )] TJ ET
BT 82.968 409.121 Td /F1 12.0 Tf [(percolation and Ising-like colorings of the skin of Mediterranean lizards. The three lectures can be )] TJ ET
BT 82.968 394.750 Td /F1 12.0 Tf [(attended independently. Much of contents is accessible to advanced undergraduate students. )] TJ ET
BT 36.266 351.670 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 82.968 351.065 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby)] TJ ET
BT 36.266 331.414 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 82.968 330.809 Td /F2 12.0 Tf [(Tatiana Toro - SCGP 103)] TJ ET
BT 82.968 301.438 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 301.438 Td /F1 12.0 Tf [(Tatiana Toro)] TJ ET
BT 82.968 243.838 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 243.838 Td /F1 12.0 Tf [( Elliptic measure and the geometry of domains in Euc)] TJ ET
BT 372.264 243.838 Td /F1 12.0 Tf [(lidean space)] TJ ET
BT 82.968 186.353 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 186.353 Td /F1 12.0 Tf [( In this talk we will discuss the correspondence between the properties of the solutions of )] TJ ET
BT 82.968 172.097 Td /F1 12.0 Tf [(a class of PDEs and the geometry of sets in Euclidean space. In particular we will examine the )] TJ ET
BT 82.968 157.841 Td /F1 12.0 Tf [(relationship between the behavior of the elliptic measure of a certain class divergence form )] TJ ET
BT 82.968 143.585 Td /F1 12.0 Tf [(uniformly elliptic operators on a domain and the structure of its boundary. This work mixes )] TJ ET
BT 82.968 129.214 Td /F1 12.0 Tf [(elements of geometric measure theory, free boundary regularity problems and harmonic analysis.)] TJ ET
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BT 255.341 741.679 Td /F2 14.0 Tf [(Wednesday, March 4th)] TJ ET
BT 36.266 723.802 Td /F1 12.0 Tf [(8:00am)] TJ ET
BT 82.968 723.197 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 703.546 Td /F1 12.0 Tf [(9:00am)] TJ ET
BT 82.968 702.941 Td /F2 12.0 Tf [(Assaf Naor - SCGP 102)] TJ ET
BT 82.968 673.570 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 673.570 Td /F1 12.0 Tf [(Assaf Naor )] TJ ET
BT 82.968 644.770 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 644.770 Td /F1 12.0 Tf [(A new decomposition of surfaces in the Heisenberg group. )] TJ ET
BT 82.968 616.085 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 616.085 Td /F1 12.0 Tf [(The main new theorem \(forthcoming joint work with Robert Young\) that we will present )] TJ ET
BT 82.968 601.829 Td /F1 12.0 Tf [(in this talk is that the L_4 norm of the vertical perimeter of any measurable subset of the 3-)] TJ ET
BT 82.968 587.573 Td /F1 12.0 Tf [(dimensional Heisenberg group H is at most a universal constant multiple of its perimeter. This )] TJ ET
BT 82.968 573.317 Td /F1 12.0 Tf [(isoperimetric inequality is optimal, and its proof uncovers the following structural description of )] TJ ET
BT 82.968 559.061 Td /F1 12.0 Tf [(surfaces in H: They admit a multi-scale hierarchical decomposition into pieces that are close to )] TJ ET
BT 82.968 544.805 Td /F1 12.0 Tf [(ruled surfaces; these pieces can be long and narrow, sometimes giving the decomposition the )] TJ ET
BT 82.968 530.549 Td /F1 12.0 Tf [(appearance of a Venetian blind, with many narrow slats. Consequences include solutions of several )] TJ ET
BT 82.968 516.178 Td /F1 12.0 Tf [(longstanding questions in metric geometry. )] TJ ET
BT 36.266 473.098 Td /F1 12.0 Tf [(10:00am)] TJ ET
BT 82.968 472.493 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe, )] TJ ET
BT 36.266 452.842 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 82.968 452.237 Td /F2 12.0 Tf [(Jeremy Tyson - SCGP 102)] TJ ET
BT 82.968 422.866 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 422.866 Td /F1 12.0 Tf [(Jeremy Tyson )] TJ ET
BT 82.968 394.066 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 394.066 Td /F1 12.0 Tf [(Densities of measures, tubular neighborhoods, and heat content in the Heisenberg group )] TJ ET
BT 82.968 365.381 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 365.381 Td /F1 12.0 Tf [(I will discuss several recent results in geometric measure theory, metric geometry and )] TJ ET
BT 82.968 351.125 Td /F1 12.0 Tf [(analysis in the sub-Riemannian Heisenberg group, specifically, Marstrand and Preiss Density )] TJ ET
BT 82.968 336.869 Td /F1 12.0 Tf [(Theorems for the Korányi metric, a classification of uniform measures in the first Heisenberg )] TJ ET
BT 82.968 322.613 Td /F1 12.0 Tf [(group, and volumes of tubular Carnot-Carathéodory neighborhoods and heat content asymptotics )] TJ ET
BT 82.968 308.357 Td /F1 12.0 Tf [(for smoothly bounded domains with noncharacteristic boundary. A unifying theme in these results )] TJ ET
BT 82.968 294.101 Td /F1 12.0 Tf [(is the role of the intrinsically sub-Riemannian differential geometry of curves and surfaces in the )] TJ ET
BT 82.968 279.730 Td /F1 12.0 Tf [(metric and analytic properties of measures and domains. )] TJ ET
BT 36.266 236.650 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 82.968 236.045 Td /F2 12.0 Tf [(Lunch and Poster Session - SCGP Cafe, )] TJ ET
BT 36.266 216.394 Td /F1 12.0 Tf [(1:20pm)] TJ ET
BT 82.968 215.789 Td /F2 12.0 Tf [(Adi Glucksam - SCGP 103)] TJ ET
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BT 82.968 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 732.214 Td /F1 12.0 Tf [(Adi Glucksam )] TJ ET
BT 82.968 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 703.414 Td /F1 12.0 Tf [(Stationary random entire functions and related questions. )] TJ ET
BT 82.968 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 674.729 Td /F1 12.0 Tf [(Let T be the action of the complex plain on the space of entire functions defined by )] TJ ET
BT 82.968 660.473 Td /F1 12.0 Tf [(translations, i.e T_w takes the entire function f\(z\) to the entire function f\(z+w\). B.Weiss showed in )] TJ ET
BT 82.968 646.217 Td /F1 12.0 Tf [(`97 that there exists a probability measure defined on the space of entire functions, which is )] TJ ET
BT 82.968 631.961 Td /F1 12.0 Tf [(invariant under this action. In this talk I will present \(almost\) optimal bounds on the minimal )] TJ ET
BT 82.968 617.705 Td /F1 12.0 Tf [(possible growth of functions in the support of such measures, and discuss other growth related )] TJ ET
BT 82.968 603.449 Td /F1 12.0 Tf [(problems inspired by this work. In particular, I will focus on the question of minimal possible )] TJ ET
BT 82.968 589.193 Td /F1 12.0 Tf [(growth of frequently oscillating subharmonic functions, a project inspired by Chris. The talk is )] TJ ET
BT 82.968 574.822 Td /F1 12.0 Tf [(partly based on a joint work with L. Buhovsky, A.Logunov, and M. Sodin. )] TJ ET
BT 36.266 531.742 Td /F1 12.0 Tf [(1:50pm)] TJ ET
BT 82.968 531.137 Td /F2 12.0 Tf [(Angela Wu - SCGP 102)] TJ ET
BT 82.968 501.766 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 501.766 Td /F1 12.0 Tf [(Angela Wu )] TJ ET
BT 82.968 472.966 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 472.966 Td /F1 12.0 Tf [(Weak Tangents of Metric Spaces )] TJ ET
BT 82.968 444.281 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 444.281 Td /F1 12.0 Tf [(A weak tangent of a metric space is the limiting metric space when one zooms in to a )] TJ ET
BT 82.968 430.025 Td /F1 12.0 Tf [(metric space. One would wonder how the weak tangents of a metric space is related to the original )] TJ ET
BT 82.968 415.769 Td /F1 12.0 Tf [(metric space. In this talk, we explore some of these relationships. We are especially interested in the )] TJ ET
BT 82.968 401.513 Td /F1 12.0 Tf [(conformal gauge of weak tangents, i.e. the equivalence classes of weak tangents under )] TJ ET
BT 82.968 387.142 Td /F1 12.0 Tf [(quasisymmetry, and their relationships with the conformal gauge of the original class. )] TJ ET
BT 36.266 344.062 Td /F1 12.0 Tf [(2:20pm)] TJ ET
BT 82.968 343.457 Td /F2 12.0 Tf [(Ten Minute Break)] TJ ET
BT 36.266 323.806 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 82.968 323.201 Td /F2 12.0 Tf [(Simons Lecture: Stanislav Smirnov - SCGP 103, )] TJ ET
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BT 82.968 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 732.214 Td /F1 12.0 Tf [(Stanislav Smirnov )] TJ ET
BT 82.968 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 703.414 Td /F1 12.0 Tf [(2D percolation revisited Part 3 )] TJ ET
BT 82.968 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 674.729 Td /F1 12.0 Tf [(Percolation is a mathematical model for the filtering of a liquid through a porous )] TJ ET
BT 82.968 660.473 Td /F1 12.0 Tf [(material or the spread of a forest fire or an epidemic: the edges of some graph are declared open or )] TJ ET
BT 82.968 646.217 Td /F1 12.0 Tf [(closed depending on independent coin tosses, and then connected open clusters are studied. While )] TJ ET
BT 82.968 631.961 Td /F1 12.0 Tf [(simple to define, this model exhibits very complicated behavior, with non-trivial scaling exponents )] TJ ET
BT 82.968 617.705 Td /F1 12.0 Tf [(and dimensions. Centering on the 2D setting, we will discuss simple proofs of some important )] TJ ET
BT 82.968 603.449 Td /F1 12.0 Tf [(theorems, connection of percolation to other models, as well as remaining open questions.In the )] TJ ET
BT 82.968 589.193 Td /F1 12.0 Tf [(first lecture, we will review the definition of the model, describe its properties and relation to other )] TJ ET
BT 82.968 574.937 Td /F1 12.0 Tf [(models, such as the Ising model of a ferromagnet. We will also give new short proofs of some )] TJ ET
BT 82.968 560.681 Td /F1 12.0 Tf [(important facts, such as the sharpness of phase transition — roughly speaking, if one increases )] TJ ET
BT 82.968 546.425 Td /F1 12.0 Tf [(proportion of open edges beyond some "critical value", the liquid suddenly starts percolating )] TJ ET
BT 82.968 532.169 Td /F1 12.0 Tf [(everywhere. In the second lecture, we will discuss the phenomenon of conformal invariance, which )] TJ ET
BT 82.968 517.913 Td /F1 12.0 Tf [(occurs at criticality. It allows to connect percolation scaling limit to the Oded Schramm's SLE )] TJ ET
BT 82.968 503.657 Td /F1 12.0 Tf [(process and establish exact values of various dimensions and exponents, rigorously proving )] TJ ET
BT 82.968 489.401 Td /F1 12.0 Tf [(predictions from Conformal Field Theory. We will also present a short version of the conformal )] TJ ET
BT 82.968 475.145 Td /F1 12.0 Tf [(invariance proof, based on joint work with Mikhail Khristoforov. In the third lecture, we will tell )] TJ ET
BT 82.968 460.889 Td /F1 12.0 Tf [(how a reaction-diffusion process in biological context leads to a rather surprising appearance of )] TJ ET
BT 82.968 446.633 Td /F1 12.0 Tf [(percolation and Ising-like colorings of the skin of Mediterranean lizards. The three lectures can be )] TJ ET
BT 82.968 432.262 Td /F1 12.0 Tf [(attended independently. Much of contents is accessible to advanced undergraduate students. )] TJ ET
BT 36.266 389.182 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 82.968 388.577 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby)] TJ ET
BT 36.266 368.926 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 82.968 368.321 Td /F2 12.0 Tf [(Mario Bonk - SCGP 103)] TJ ET
BT 82.968 338.950 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 338.950 Td /F1 12.0 Tf [(Mario Bonk )] TJ ET
BT 82.968 310.150 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 310.150 Td /F1 12.0 Tf [(Fractals and the dynamics of Thurston maps )] TJ ET
BT 82.968 281.465 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 281.465 Td /F1 12.0 Tf [(A Thurston map is a branched covering map on a topological 2-sphere for which the )] TJ ET
BT 82.968 267.209 Td /F1 12.0 Tf [(forward orbit of each critical point under iteration is finite. Each such map gives rise to a fractal )] TJ ET
BT 82.968 252.953 Td /F1 12.0 Tf [(geometry on its underlying 2-sphere. The study of these maps and their associated fractal structures )] TJ ET
BT 82.968 238.697 Td /F1 12.0 Tf [(links diverse areas of mathematics such as dynamical systems, classical conformal analysis, )] TJ ET
BT 82.968 224.441 Td /F1 12.0 Tf [(hyperbolic geometry, Teichmüller theory, and analysis on metric spaces. In my talk I will report on )] TJ ET
BT 82.968 210.070 Td /F1 12.0 Tf [(some recent developments and open problems in this area. )] TJ ET
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BT 260.780 163.735 Td /F2 14.0 Tf [(Thursday, March 5th)] TJ ET
BT 36.266 145.858 Td /F1 12.0 Tf [(8:00am)] TJ ET
BT 82.968 145.253 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 125.602 Td /F1 12.0 Tf [(9:00am)] TJ ET
BT 82.968 124.997 Td /F2 12.0 Tf [(Lasse Rempe-Gillen - SCGP 102)] TJ ET
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BT 82.968 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 732.214 Td /F1 12.0 Tf [(Lasse Rempe-Gillen )] TJ ET
BT 82.968 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 703.414 Td /F1 12.0 Tf [(Constructing Riemann surfaces from equilateral triangles )] TJ ET
BT 82.968 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 674.729 Td /F1 12.0 Tf [(We consider the following question. Suppose that a \(finite or infinite\) collection of )] TJ ET
BT 82.968 660.473 Td /F1 12.0 Tf [(equilateral triangles are glued together in such a way that each edge is identified with precisely one )] TJ ET
BT 82.968 646.217 Td /F1 12.0 Tf [(other edge, and each vertex is identified with only finitely many other vertices. If the resulting )] TJ ET
BT 82.968 631.961 Td /F1 12.0 Tf [(surface is connected and orientable, it naturally has the structure of a Riemann surface, i.e., a one-)] TJ ET
BT 82.968 617.705 Td /F1 12.0 Tf [(dimensional complex manifold. We ask which surfaces can arise in this fashion. The answer in the )] TJ ET
BT 82.968 603.449 Td /F1 12.0 Tf [(compact case is given by a famous classical theorem of Belyi, which states that a compact surface )] TJ ET
BT 82.968 589.193 Td /F1 12.0 Tf [(can arise from this construction if and only if it is defined over a number field. These Belyi surfaces )] TJ ET
BT 82.968 574.937 Td /F1 12.0 Tf [(and their associated “dessins d’enfants” have found applications across many fields of mathematics, )] TJ ET
BT 82.968 560.681 Td /F1 12.0 Tf [(including mathematical physics. In joint work with Chris Bishop, we give a complete answer of the )] TJ ET
BT 82.968 546.310 Td /F1 12.0 Tf [(same question for the case of infinitely many triangles \(i.e., for non-compact Riemann surfaces\). )] TJ ET
BT 36.266 503.230 Td /F1 12.0 Tf [(10:00am)] TJ ET
BT 82.968 502.625 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe, )] TJ ET
BT 36.266 482.974 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 82.968 482.369 Td /F2 12.0 Tf [(Nuria Fagella - SCGP 102)] TJ ET
BT 82.968 452.998 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 452.998 Td /F1 12.0 Tf [(Nuria Fagella )] TJ ET
BT 82.968 424.198 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 424.198 Td /F1 12.0 Tf [(Wandering domains in and out. )] TJ ET
BT 82.968 395.513 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 395.513 Td /F1 12.0 Tf [(In dynamics of holomorphic maps a wandering domain is a component of the normality )] TJ ET
BT 82.968 381.257 Td /F1 12.0 Tf [(set whose iterates never meet. In this talk we describe the dynamics of orbits inside simply )] TJ ET
BT 82.968 367.001 Td /F1 12.0 Tf [(connected wandering domains, in terms of their contracting properties or the convergence of orbits )] TJ ET
BT 82.968 352.745 Td /F1 12.0 Tf [(to the boundary. We relate this classification to the presence of singular orbits following the )] TJ ET
BT 82.968 338.489 Td /F1 12.0 Tf [(wandering components. Our results are related to non-autonomous holomorphic dynamical systems )] TJ ET
BT 82.968 324.118 Td /F1 12.0 Tf [(on the unit disk. )] TJ ET
BT 36.266 281.038 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 82.968 280.433 Td /F2 12.0 Tf [(Lunch and Poster Session - SCGP Cafe, )] TJ ET
BT 36.266 260.782 Td /F1 12.0 Tf [(1:20pm)] TJ ET
BT 82.968 260.177 Td /F2 12.0 Tf [(Kari Astala - SCGP 102)] TJ ET
BT 82.968 230.806 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 230.806 Td /F1 12.0 Tf [(Kari Astala )] TJ ET
BT 82.968 202.121 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 202.121 Td /F1 12.0 Tf [(Random tilings, Dimer models and Beltrami equation: Universality in geometry of frozen )] TJ ET
BT 82.968 187.750 Td /F1 12.0 Tf [(boundaries. )] TJ ET
BT 36.266 144.670 Td /F1 12.0 Tf [(2:20pm)] TJ ET
BT 82.968 144.065 Td /F2 12.0 Tf [(Ten Minute Break)] TJ ET
BT 36.266 124.414 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 82.968 123.809 Td /F2 12.0 Tf [(David Marti-Pete - SCGP 102)] TJ ET
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BT 82.968 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 732.214 Td /F1 12.0 Tf [(David Marti-Pete )] TJ ET
BT 82.968 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 703.414 Td /F1 12.0 Tf [(Constructing entire functions with wandering domains by a quasiconformal modification )] TJ ET
BT 82.968 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 674.729 Td /F1 12.0 Tf [(In 2015 Christopher Bishop constructed the first example of a bounded-type )] TJ ET
BT 82.968 660.473 Td /F1 12.0 Tf [(transcendental entire function with a wandering domain using a revolutionary new technique called )] TJ ET
BT 82.968 646.217 Td /F1 12.0 Tf [(quasiconfomal folding. It is easy to check that his method produces a function of infinite order. In a )] TJ ET
BT 82.968 631.961 Td /F1 12.0 Tf [(joint work with Mitsuhiro Shishikura, we constructed the first examples of functions in the )] TJ ET
BT 82.968 617.705 Td /F1 12.0 Tf [(Eremenko-Lyubich class of finite order with wandering domains. In Bishop's example, as well as in )] TJ ET
BT 82.968 603.449 Td /F1 12.0 Tf [(our construction, the wandering domains are of oscillating type, that is, with an unbounded non-)] TJ ET
BT 82.968 589.193 Td /F1 12.0 Tf [(escaping orbit. Our examples have order p/2 for any positive integer p and thus, since functions in )] TJ ET
BT 82.968 574.937 Td /F1 12.0 Tf [(the class B have order at least 1/2, we can achieve the smallest possible order. To build such )] TJ ET
BT 82.968 560.681 Td /F1 12.0 Tf [(functions, we performed a quasiconformal modification of the hyperbolic cosine map. In a work in )] TJ ET
BT 82.968 546.425 Td /F1 12.0 Tf [(progress with David Sixsmith, we also use this technique to construct transcendental entire )] TJ ET
BT 82.968 532.054 Td /F1 12.0 Tf [(functions with simply connected fast escaping wandering domains. )] TJ ET
BT 36.266 488.974 Td /F1 12.0 Tf [(3:00pm)] TJ ET
BT 82.968 488.369 Td /F2 12.0 Tf [(Vasiliki Evdoridou - SCGP 102)] TJ ET
BT 82.968 458.998 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 458.998 Td /F1 12.0 Tf [(Vasiliki Evdoridou )] TJ ET
BT 82.968 430.198 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 430.198 Td /F1 12.0 Tf [(Constructing examples of simply connected wandering domains )] TJ ET
BT 36.266 387.118 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 82.968 386.513 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby)] TJ ET
BT 36.266 366.862 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 82.968 366.257 Td /F2 12.0 Tf [(SCGP-Math Colloquium: Scott Sheffield - SCGP 103)] TJ ET
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BT 82.968 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 732.214 Td /F1 12.0 Tf [(Scott Sheffield )] TJ ET
BT 82.968 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 703.414 Td /F1 12.0 Tf [(Laplacian determinants and random surfaces )] TJ ET
BT 82.968 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 674.729 Td /F1 12.0 Tf [(The Laplacian on a compact surface is an operator on the set of functions on that surface. )] TJ ET
BT 82.968 660.473 Td /F1 12.0 Tf [(It is has infinitely many non-zero eigenvalues, and the product of these eigenvalues is infinity. )] TJ ET
BT 82.968 646.217 Td /F1 12.0 Tf [(Nonetheless, the classical "zeta-regularization" provides a natural way to make sense of the )] TJ ET
BT 82.968 631.961 Td /F1 12.0 Tf [("determinant" of the Laplacian operator. What is the geometric meaning of this "determinant"? )] TJ ET
BT 82.968 617.705 Td /F1 12.0 Tf [(What is the probabilistic or statistical physical meaning? How is it related to canonical random )] TJ ET
BT 82.968 603.449 Td /F1 12.0 Tf [(surfaces, like the so-called "Liouville quantum gravity" surfaces? How about heat kernels, )] TJ ET
BT 82.968 589.193 Td /F1 12.0 Tf [(Brownian motion, and the random collection of loops known as the "Brownian loop soup"? I will )] TJ ET
BT 82.968 574.937 Td /F1 12.0 Tf [(argue that these are natural questions spanning analysis, geometry, physics, and probability. And I )] TJ ET
BT 82.968 560.681 Td /F1 12.0 Tf [(will try to provide some answers. Using an appropriate regularization, we find that the "Brownian )] TJ ET
BT 82.968 546.425 Td /F1 12.0 Tf [(loop soup" of intensity c has a partition function described by the \(-c/2\)th power of the determinant )] TJ ET
BT 82.968 532.169 Td /F1 12.0 Tf [(of the Laplacian. In a certain sense, this means that decorating a random surface by a "Brownian )] TJ ET
BT 82.968 517.913 Td /F1 12.0 Tf [(loop soup" of intensity c corresponds to weighting the law of the surface by the \(-c/2\)th power of )] TJ ET
BT 82.968 503.657 Td /F1 12.0 Tf [(the determinant of the Laplacian. I will then introduce a method of regularizing a unit area )] TJ ET
BT 82.968 489.401 Td /F1 12.0 Tf [("Liouville quantum gravity" sphere, and show that weighting the law of this random surface by the )] TJ ET
BT 82.968 475.145 Td /F1 12.0 Tf [(\(-c'/2\)th power of the Laplacian determinant has precisely the effect of changing a certain parameter )] TJ ET
BT 82.968 460.889 Td /F1 12.0 Tf [(that indicates the "roughness" of the surface. Taken together with the earlier results, this provides a )] TJ ET
BT 82.968 446.633 Td /F1 12.0 Tf [(way of interpreting LQG surfaces of general roughness parameters: they can all be obtained by )] TJ ET
BT 82.968 432.377 Td /F1 12.0 Tf [(starting with the simplest random surface and then decorating with Brownian loop soups. This is )] TJ ET
BT 82.968 418.006 Td /F1 12.0 Tf [(based on joint work with Morris Ang, Minjae Park, and Joshua Pfeffer. )] TJ ET
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BT 269.733 371.671 Td /F2 14.0 Tf [(Friday, March 6th)] TJ ET
BT 36.266 353.794 Td /F1 12.0 Tf [(8:00am)] TJ ET
BT 82.968 353.189 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 333.538 Td /F1 12.0 Tf [(9:00am)] TJ ET
BT 82.968 332.933 Td /F2 12.0 Tf [(Mikhail Sodin - SCGP 102)] TJ ET
BT 82.968 303.562 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 303.562 Td /F1 12.0 Tf [(Mikhail Sodin )] TJ ET
BT 82.968 274.762 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 274.762 Td /F1 12.0 Tf [(Random and pseudo-random Taylor series )] TJ ET
BT 36.266 231.682 Td /F1 12.0 Tf [(10:00am)] TJ ET
BT 82.968 231.077 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe, )] TJ ET
BT 36.266 211.426 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 82.968 210.821 Td /F2 12.0 Tf [(Aleksandr Logunov - SCGP 102)] TJ ET
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BT 82.968 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 732.214 Td /F1 12.0 Tf [(Aleksandr Logunov )] TJ ET
BT 82.968 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 703.414 Td /F1 12.0 Tf [(Geometry of nodal sets of Laplace eigenfunctions )] TJ ET
BT 82.968 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 674.729 Td /F1 12.0 Tf [(We will discuss geometrical and analytic properties of zero sets of harmonic functions )] TJ ET
BT 82.968 660.473 Td /F1 12.0 Tf [(and eigenfunctions of the Laplace operator. For harmonic functions on the plane there is an )] TJ ET
BT 82.968 646.217 Td /F1 12.0 Tf [(interesting relation between local length of the zero set and the growth of harmonic functions. The )] TJ ET
BT 82.968 631.961 Td /F1 12.0 Tf [(larger the zero set is, the faster the growth of harmonic function should be and vice versa. Zero sets )] TJ ET
BT 82.968 617.705 Td /F1 12.0 Tf [(of Laplace eigenfunctions on surfaces are unions of smooth curves with equiangular intersections. )] TJ ET
BT 82.968 603.449 Td /F1 12.0 Tf [(Topology of the zero set could be quite complicated, but Yau conjectured that the total length of the )] TJ ET
BT 82.968 589.193 Td /F1 12.0 Tf [(zero set is comparable to the square root of the eigenvalue for all eigenfunctions. We will start with )] TJ ET
BT 82.968 574.937 Td /F1 12.0 Tf [(open questions about spherical harmonics and explain some methods to study nodal sets, which are )] TJ ET
BT 82.968 560.566 Td /F1 12.0 Tf [(zero sets of solutions of elliptic PDE. )] TJ ET
BT 36.266 517.486 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 82.968 516.881 Td /F2 12.0 Tf [(Lunch - SCGP Cafe, )] TJ ET
BT 36.266 497.230 Td /F1 12.0 Tf [(1:20pm)] TJ ET
BT 82.968 496.625 Td /F2 12.0 Tf [(Joseph Mitchell - SCGP 102)] TJ ET
BT 82.968 467.254 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 467.254 Td /F1 12.0 Tf [(Joseph Mitchell )] TJ ET
BT 82.968 438.569 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 438.569 Td /F1 12.0 Tf [(Approximation of Geometric Structures to Facilitate Optimization: A Computational )] TJ ET
BT 82.968 424.198 Td /F1 12.0 Tf [(Geometer's Perspective )] TJ ET
BT 36.266 381.118 Td /F1 12.0 Tf [(2:20pm)] TJ ET
BT 82.968 380.513 Td /F2 12.0 Tf [(Ten Minute Break)] TJ ET
BT 36.266 360.862 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 82.968 360.257 Td /F2 12.0 Tf [(Dimitrios Ntalampekos - SCGP 102)] TJ ET
BT 82.968 330.886 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 330.886 Td /F1 12.0 Tf [(Dimitrios Ntalampekos )] TJ ET
BT 82.968 302.086 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 302.086 Td /F1 12.0 Tf [(Removability of fractal sets for conformal maps )] TJ ET
BT 82.968 273.401 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 273.401 Td /F1 12.0 Tf [(The problem of removability of a set, in general, asks whether one can glue functions of )] TJ ET
BT 82.968 259.145 Td /F1 12.0 Tf [(a given class along that set and obtain a function lying in the same class. In particular, removability )] TJ ET
BT 82.968 244.889 Td /F1 12.0 Tf [(of sets for the class of conformal maps has applications in Complex Dynamics, in Conformal )] TJ ET
BT 82.968 230.633 Td /F1 12.0 Tf [(Welding, and in other problems that require gluing of functions. We, therefore, seek geometric )] TJ ET
BT 82.968 216.377 Td /F1 12.0 Tf [(conditions on sets that guarantee their removability. In this talk, I will describe my work on the )] TJ ET
BT 82.968 202.121 Td /F1 12.0 Tf [(\(non\)removability of fractal sets with infinitely many complementary components, such as the )] TJ ET
BT 82.968 187.750 Td /F1 12.0 Tf [(Sierpinski gasket and Sierpinski carpets. )] TJ ET
BT 36.266 144.670 Td /F1 12.0 Tf [(3:00pm)] TJ ET
BT 82.968 144.065 Td /F2 12.0 Tf [(Kirill Lazebnik - SCGP 102)] TJ ET
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BT 82.968 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 732.214 Td /F1 12.0 Tf [(Kirill Lazebnik )] TJ ET
BT 82.968 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 703.414 Td /F1 12.0 Tf [(Univalent Polynomials and Hubbard Trees )] TJ ET
BT 82.968 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 674.729 Td /F1 12.0 Tf [(We study the coefficient region for a family of ``external'' polynomials $\\Sigma_d^*$ )] TJ ET
BT 82.968 660.473 Td /F1 12.0 Tf [(univalent in the external unit disc. We discuss a ``pinching" method for producing extremal points )] TJ ET
BT 82.968 646.217 Td /F1 12.0 Tf [(in the class $\\Sigma_d^*$. We also discuss connections between the class $\\Sigma_d^*$ and \(1\) )] TJ ET
BT 82.968 631.961 Td /F1 12.0 Tf [(parameter spaces of certain reflection groups, and \(2\) anti-holomorphic polynomials having a )] TJ ET
BT 82.968 617.705 Td /F1 12.0 Tf [(maximal number of fixed points. This is joint work with Nikolai Makarov and Sabyasachi )] TJ ET
BT 82.968 603.334 Td /F1 12.0 Tf [(Mukherjee. )] TJ ET
BT 36.266 560.254 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 82.968 559.649 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby)] TJ ET
BT 36.266 539.998 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 82.968 539.393 Td /F2 12.0 Tf [(Yair Minsky - SCGP 102)] TJ ET
BT 82.968 510.022 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 131.964 510.022 Td /F1 12.0 Tf [(Yair Minsky )] TJ ET
BT 82.968 481.222 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 113.964 481.222 Td /F1 12.0 Tf [(Fibered 3-manifolds and Weil-Petersson geometry )] TJ ET
BT 82.968 452.537 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 134.616 452.537 Td /F1 12.0 Tf [(When a 3-manifold fibers over the circle it often does so in infinitely many ways, and )] TJ ET
BT 82.968 438.281 Td /F1 12.0 Tf [(this gives a kind of laboratory for studying Teichmuller spaces and mapping class groups in many )] TJ ET
BT 82.968 424.025 Td /F1 12.0 Tf [(surfaces at once. Farb-Leininger-Margalit proved an influential theorem showing that fibered 3-)] TJ ET
BT 82.968 409.769 Td /F1 12.0 Tf [(manifolds organize the mapping classes of "short" Teichmuller translation length in all genera. We )] TJ ET
BT 82.968 395.513 Td /F1 12.0 Tf [(prove an analogous theorem for Weil-Petersson translation length. The proof uses recent theorems )] TJ ET
BT 82.968 381.257 Td /F1 12.0 Tf [(on renormalized volume as well as good old fashioned 3-manifold topology from the 1980s. Joint )] TJ ET
BT 82.968 366.886 Td /F1 12.0 Tf [(work with Leininger, Souto and Taylor. Form: Chalk )] TJ ET
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