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BT 223.267 716.845 Td /F2 24.0 Tf [(Workshop Schedule)] TJ ET
BT 283.546 677.782 Td /F2 18.0 Tf [(Events for:)] TJ ET
BT 149.293 656.355 Td /F2 18.0 Tf [(Monday, February 4th - Friday, February 8th)] TJ ET
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BT 258.037 620.083 Td /F2 14.0 Tf [(Monday, February 4th)] TJ ET
BT 36.266 601.601 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.201 601.601 Td /F2 12.0 Tf [(Simion Filip - SCGP 102)] TJ ET
BT 85.201 569.230 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 569.230 Td /F1 12.0 Tf [(Discrete groups, Lyapunov exponents, and Hodge theory )] TJ ET
BT 85.201 540.545 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 540.545 Td /F1 12.0 Tf [(Families of algebraic manifolds give interesting examples of discrete subgroups of Lie )] TJ ET
BT 85.201 526.289 Td /F1 12.0 Tf [(groups, via their monodromy. They also lead to differential equations, such as the hypergeometric )] TJ ET
BT 85.201 512.033 Td /F1 12.0 Tf [(ones, whose solutions have an arithmetic significance. After providing the necessary background I )] TJ ET
BT 85.201 497.777 Td /F1 12.0 Tf [(will explain a connection to dynamical invariants called Lyapunov exponents, which reveals )] TJ ET
BT 85.201 483.406 Td /F1 12.0 Tf [(special geometric features of the discrete groups and the corresponding differential equations. )] TJ ET
BT 36.266 439.721 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.201 439.721 Td /F2 12.0 Tf [(Coffee break - SCGP Cafe)] TJ ET
BT 36.266 416.465 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.201 416.465 Td /F2 12.0 Tf [(Pietro Longhi - SCGP 102)] TJ ET
BT 85.201 384.094 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 384.094 Td /F1 12.0 Tf [(A combinatorial approach to saddle-counting invariants for quadratic differentials )] TJ ET
BT 85.201 355.409 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 355.409 Td /F1 12.0 Tf [(Counts of special trajectories of quadratic differentials on Riemann surfaces are an )] TJ ET
BT 85.201 341.153 Td /F1 12.0 Tf [(example of ``generalized'' Donaldson-Thomas invariants, they exhibit wall-crossing phenomena )] TJ ET
BT 85.201 326.897 Td /F1 12.0 Tf [(over the moduli space of differentials. I will describe a combinatorial construction of the )] TJ ET
BT 85.201 312.641 Td /F1 12.0 Tf [(Kontsevich-Soibelman invariant for this counting problem based on ribbon graphs of degenerate )] TJ ET
BT 85.201 298.385 Td /F1 12.0 Tf [(Jenkins-Strebel differentials. Time permitting, I will also sketch generalizations to motivic wall-)] TJ ET
BT 85.201 284.014 Td /F1 12.0 Tf [(crossing invariants, and to collections of k-differentials in the context of Hitchin systems. )] TJ ET
BT 36.266 240.329 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.201 240.329 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 217.073 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 85.201 217.073 Td /F2 12.0 Tf [(Samuel Grushevsky - SCGP 102)] TJ ET
BT 85.201 184.702 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 184.702 Td /F1 12.0 Tf [(Compactifying moduli of curves with a differential )] TJ ET
BT 85.201 156.017 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 156.017 Td /F1 12.0 Tf [("The ""stratum"" is the moduli space of curves together with a differential with )] TJ ET
BT 85.201 141.761 Td /F1 12.0 Tf [(prescribed multiplicities of zeroes; it is the phase space of the action of GL\(2,R\) in Teichmuller )] TJ ET
BT 85.201 127.505 Td /F1 12.0 Tf [(dynamics. We construct a smooth geometric compactification of the stratum that carries a universal )] TJ ET
BT 85.201 113.249 Td /F1 12.0 Tf [(family. Based on joint work with Matt Bainbridge, Dawei Chen, Quentin Gendron, Martin Moeller. )] TJ ET
BT 85.201 98.878 Td /F1 12.0 Tf [(" )] TJ ET
BT 36.266 55.193 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.201 55.193 Td /F2 12.0 Tf [(Tea time - SGCP Cafe)] TJ ET
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BT 36.266 702.064 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 85.201 702.064 Td /F2 12.0 Tf [(Dylan Allegretti - SCGP 102)] TJ ET
BT 85.201 669.693 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 669.693 Td /F1 12.0 Tf [(The monodromy of meromorphic projective structures )] TJ ET
BT 85.201 641.008 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 641.008 Td /F1 12.0 Tf [(The notion of a complex projective structure is fundamental in low-dimensional )] TJ ET
BT 85.201 626.752 Td /F1 12.0 Tf [(geometry and topology. The space of projective structures on a surface is closely related to the )] TJ ET
BT 85.201 612.496 Td /F1 12.0 Tf [(space of holomorphic quadratic differentials, and there is a natural map from the space of )] TJ ET
BT 85.201 598.240 Td /F1 12.0 Tf [(projective structures to the character variety of the surface, sending a projective structure to its )] TJ ET
BT 85.201 583.984 Td /F1 12.0 Tf [(monodromy representation. In this talk, I will describe joint work with Tom Bridgeland in which )] TJ ET
BT 85.201 569.728 Td /F1 12.0 Tf [(we introduced the notion of a "meromorphic projective structure" with poles at a discrete set of )] TJ ET
BT 85.201 555.472 Td /F1 12.0 Tf [(points. In the case of a meromorphic projective structure, the monodromy can be viewed as a point )] TJ ET
BT 85.201 541.216 Td /F1 12.0 Tf [(in a moduli space introduced by Fock and Goncharov in their work on cluster varieties. This )] TJ ET
BT 85.201 526.960 Td /F1 12.0 Tf [(appears to be a manifestation of a general relationship between cluster varieties and spaces of )] TJ ET
BT 85.201 512.589 Td /F1 12.0 Tf [(stability conditions on 3-Calabi-Yau triangulated categories. )] TJ ET
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BT 257.645 466.253 Td /F2 14.0 Tf [(Tuesday, February 5th)] TJ ET
BT 36.266 447.772 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.201 447.772 Td /F2 12.0 Tf [(Brian Collier - SCGP 102)] TJ ET
BT 85.201 415.401 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 415.401 Td /F1 12.0 Tf [(Stratifications and conformal limits )] TJ ET
BT 85.201 386.716 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 386.716 Td /F1 12.0 Tf [(Both the Higgs bundle moduli space and the moduli space of flat connections have a )] TJ ET
BT 85.201 372.460 Td /F1 12.0 Tf [(natural stratification induced by a C* action. In both of these stratifications, each stratum is a )] TJ ET
BT 85.201 358.204 Td /F1 12.0 Tf [(holomorphic fibration over a connected component of complex variations of Hodge structure. )] TJ ET
BT 85.201 343.948 Td /F1 12.0 Tf [(While the nonabelian Hodge correspondence provides a homeomorphism between Higgs bundles )] TJ ET
BT 85.201 329.692 Td /F1 12.0 Tf [(and flat connections, this homeomorphism does not preserve the respective strata. The closed )] TJ ET
BT 85.201 315.436 Td /F1 12.0 Tf [(stratum on the Higgs bundle side is the image of the Hitchin section and the closed stratum in the )] TJ ET
BT 85.201 301.180 Td /F1 12.0 Tf [(space of flat connections is the space of opers. In this talk, we will show how many of the )] TJ ET
BT 85.201 286.924 Td /F1 12.0 Tf [(relationships between opers and the Hitchin section extend to general strata. In particular, we will )] TJ ET
BT 85.201 272.668 Td /F1 12.0 Tf [(show that the conformal limit identifies certain holomorphic Lagrangian subspaces of the )] TJ ET
BT 85.201 258.297 Td /F1 12.0 Tf [(stratifications. )] TJ ET
BT 36.266 214.612 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.201 214.612 Td /F2 12.0 Tf [(Coffee break - SCGP Cafe)] TJ ET
BT 36.266 191.356 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.201 191.356 Td /F2 12.0 Tf [(Michael Wolf - SCGP 102)] TJ ET
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BT 85.201 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 732.214 Td /F1 12.0 Tf [(Limiting Configurations, Pleated Surfaces and Harmonic Maps )] TJ ET
BT 85.201 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 703.529 Td /F1 12.0 Tf [(A recent work by Mazzeo-Swoboda-Weiss-Witt describes a stratum of the frontier of the )] TJ ET
BT 85.201 689.273 Td /F1 12.0 Tf [(space of SL\(2,C\) surface group representations in terms of 'limiting configurations' which solve a )] TJ ET
BT 85.201 675.017 Td /F1 12.0 Tf [(degenerated version of Hitchin's equations on a Riemann surface. We interpret these objects in \(a )] TJ ET
BT 85.201 660.761 Td /F1 12.0 Tf [(mapping class group invariant way in\) terms of the hyperbolic geometric objects of shearings of )] TJ ET
BT 85.201 646.505 Td /F1 12.0 Tf [(pleated surfaces. We study limits of opers in this perspective. \(Joint with Andreas Ott, Jan )] TJ ET
BT 85.201 632.134 Td /F1 12.0 Tf [(Swoboda, and Richard Wentworth\). )] TJ ET
BT 36.266 588.449 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.201 588.449 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 565.193 Td /F1 12.0 Tf [(1:00pm)] TJ ET
BT 85.201 565.193 Td /F2 12.0 Tf [(Andrew Neitzke - SCGP 102)] TJ ET
BT 85.201 532.822 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 532.822 Td /F1 12.0 Tf [(BPS states and hyperkahler metrics: an update )] TJ ET
BT 85.201 504.137 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 504.137 Td /F1 12.0 Tf [(The physics of N=2 supersymmetric quantum field theory leads to a conjectural explicit )] TJ ET
BT 85.201 489.881 Td /F1 12.0 Tf [(recipe for constructing metrics on certain hyperkahler moduli spaces, in terms of a relatively small )] TJ ET
BT 85.201 475.625 Td /F1 12.0 Tf [(amount of input data: just some holomorphic functions \("central charges"\) and integer invariants )] TJ ET
BT 85.201 461.369 Td /F1 12.0 Tf [(\("BPS state counts / Donaldson-Thomas invariants"\). I will describe how this scheme works in )] TJ ET
BT 85.201 447.113 Td /F1 12.0 Tf [(some specific examples of moduli spaces of Higgs bundles, and some recent progress toward )] TJ ET
BT 85.201 432.857 Td /F1 12.0 Tf [(proving that it actually gives the correct metric. The original conjecture appears in my joint work )] TJ ET
BT 85.201 418.601 Td /F1 12.0 Tf [(with Gaiotto-Moore, and the more recent progress involves work of Mazzeo-Swoboda-Weiss-Witt, )] TJ ET
BT 85.201 404.230 Td /F1 12.0 Tf [(my joint work with Dumas, and work of Fredrickson. )] TJ ET
BT 36.266 360.545 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 85.201 360.545 Td /F2 12.0 Tf [(Chaya Norton - SCGP 102)] TJ ET
BT 85.201 328.174 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 328.174 Td /F1 12.0 Tf [(Variational Formulas for the Period Matrix and Shimura-Teichmuller Curves )] TJ ET
BT 85.201 299.489 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 299.489 Td /F1 12.0 Tf [(We will introduce a parametric jump problem used to study how differentials degenerate )] TJ ET
BT 85.201 285.233 Td /F1 12.0 Tf [(at the boundary of the moduli space of Riemann surfaces in terms of plumbing parameters. In joint )] TJ ET
BT 85.201 270.977 Td /F1 12.0 Tf [(work with David Aulicino we are able to use these variational formulas to study Shimura-)] TJ ET
BT 85.201 256.606 Td /F1 12.0 Tf [(Teichmuller curves in genus 5. This is the only case left open in Moller's work. )] TJ ET
BT 36.266 212.921 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.201 212.921 Td /F2 12.0 Tf [(Tea time - SGCP Cafe)] TJ ET
BT 36.266 189.665 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 85.201 189.665 Td /F2 12.0 Tf [(Subhojoy Gupta - SCGP 102)] TJ ET
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BT 85.201 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 732.214 Td /F1 12.0 Tf [(Meromorphic quadratic differentials and geometric structures )] TJ ET
BT 85.201 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 703.529 Td /F1 12.0 Tf [(let X be a compact Riemann surface of genus greater than one, and let S denote its )] TJ ET
BT 85.201 689.273 Td /F1 12.0 Tf [(underlying smooth surface. Holomorphic quadratic differentials on X parametrize the space of )] TJ ET
BT 85.201 675.017 Td /F1 12.0 Tf [(hyperbolic structures, as well as the space of measured foliations, on S. These correspondences )] TJ ET
BT 85.201 660.761 Td /F1 12.0 Tf [(between holomorphic objects on one side, and certain geometric structures on the other, are )] TJ ET
BT 85.201 646.505 Td /F1 12.0 Tf [(theorems of Wolf and Hubbard-Masur, respectively. I shall discuss these, and talk of their )] TJ ET
BT 85.201 632.249 Td /F1 12.0 Tf [(generalizations to the case of a punctured surface when the quadratic differential has poles of )] TJ ET
BT 85.201 617.993 Td /F1 12.0 Tf [(higher order. The proofs involve the theory of harmonic maps between surfaces, and in particular, )] TJ ET
BT 85.201 603.737 Td /F1 12.0 Tf [(infinite-energy maps that arise in degenerations of the usual correspondence. Part of this work is )] TJ ET
BT 85.201 589.366 Td /F1 12.0 Tf [(joint with Michael Wolf. )] TJ ET
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BT 248.314 506.765 Td /F2 14.0 Tf [(Wednesday, February 6th)] TJ ET
BT 36.266 488.284 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.201 488.284 Td /F2 12.0 Tf [(Richard Wentworth - SCGP 102)] TJ ET
BT 85.201 455.913 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 455.913 Td /F1 12.0 Tf [(Conformal blocks and Higgs bundles for spin groups )] TJ ET
BT 85.201 427.228 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 427.228 Td /F1 12.0 Tf [(This will be a two part talk based on joint work with Swarnava Mukhopadhyay. In the )] TJ ET
BT 85.201 412.972 Td /F1 12.0 Tf [(first part, I will briefly discuss the problem of level-rank and strange duality for orthogonal groups. )] TJ ET
BT 85.201 398.716 Td /F1 12.0 Tf [(I will mention the proof of the Oxbury-Wilson conjecture on the Verlinde formula for spin groups, )] TJ ET
BT 85.201 384.460 Td /F1 12.0 Tf [(and the existence of a Hitchin connection on the space of generalized theta functions for "twisted" )] TJ ET
BT 85.201 370.204 Td /F1 12.0 Tf [(spin bundles. This leads to the main part of the talk which addresses spectral data for spin Higgs )] TJ ET
BT 85.201 355.948 Td /F1 12.0 Tf [(bundles. A key point is the relation between Abe's Hecke transformations of orthogonal bundles )] TJ ET
BT 85.201 341.692 Td /F1 12.0 Tf [(and Hitchin's spectral data. A direct proof of Langlands duality for the fibers of the Hitchin )] TJ ET
BT 85.201 327.321 Td /F1 12.0 Tf [(integrable system follows from this description. )] TJ ET
BT 36.266 283.636 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.201 283.636 Td /F2 12.0 Tf [(Coffee break - SCGP Cafe)] TJ ET
BT 36.266 260.380 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.201 260.380 Td /F2 12.0 Tf [(Gregory Moore - SCGP 102)] TJ ET
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BT 85.201 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 732.214 Td /F1 12.0 Tf [(Categorified Wall-Crossing With Twisted Masses )] TJ ET
BT 85.201 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 703.529 Td /F1 12.0 Tf [(The talk will discuss "categorification," or more accurately, "braneification" of wall-)] TJ ET
BT 85.201 689.273 Td /F1 12.0 Tf [(crossing formulae \(wcf\). We review the general statement of the 2d4d wcf. Then we review and )] TJ ET
BT 85.201 675.017 Td /F1 12.0 Tf [(refine the Cecott-Vafa wcf in 2d Landau-Ginzburg models. We further refine it in the context of )] TJ ET
BT 85.201 660.761 Td /F1 12.0 Tf [(the A-infinity category of interfaces using ``S wall interfaces'' for ``S-wall-crossing.'' Finally, we )] TJ ET
BT 85.201 646.505 Td /F1 12.0 Tf [(discuss the effect of twisted masses, which lead to some novel new phenomena, including K-wall )] TJ ET
BT 85.201 632.249 Td /F1 12.0 Tf [(interfaces, closely related to Koszul duality of algebras. Most of the talk is a review of work done )] TJ ET
BT 85.201 617.993 Td /F1 12.0 Tf [(with D. Gaiotto and E. Witten pre-2015. Some of the material presented comes from unpublished )] TJ ET
BT 85.201 603.737 Td /F1 12.0 Tf [(work with T. Dimofte and D. Gaiotto from 2016, together with more recent work in progress with )] TJ ET
BT 85.201 589.481 Td /F1 12.0 Tf [(Rutgers graduate student Ahsan Khan. The subject is closely related to spectral networks, hence )] TJ ET
BT 85.201 575.225 Td /F1 12.0 Tf [(relevant to this workshop on holomorphic differentials. However, the practice run at a Rutgers )] TJ ET
BT 85.201 560.969 Td /F1 12.0 Tf [(group meeting took over 2 hours, so much material, including the relation to spectral networks will )] TJ ET
BT 85.201 546.598 Td /F1 12.0 Tf [(have to be omitted. )] TJ ET
BT 36.266 466.648 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.201 466.648 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 443.392 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.201 443.392 Td /F2 12.0 Tf [(Tea time - SGCP Cafe)] TJ ET
BT 36.266 420.136 Td /F1 12.0 Tf [(6:00pm)] TJ ET
BT 85.201 420.136 Td /F2 12.0 Tf [(Banquet - SCGP Cafe)] TJ ET
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BT 253.753 394.229 Td /F2 14.0 Tf [(Thursday, February 7th)] TJ ET
BT 36.266 375.748 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.201 375.748 Td /F2 12.0 Tf [(Philip Engel - SCGP 102)] TJ ET
BT 85.201 343.377 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 343.377 Td /F1 12.0 Tf [(The elliptic orbifold of order 5 )] TJ ET
BT 85.201 314.692 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 314.692 Td /F1 12.0 Tf [(A group acting on an elliptic curve must have order 1, 2, 3, 4, or 6. We call the quotient )] TJ ET
BT 85.201 300.436 Td /F1 12.0 Tf [(an elliptic orbifold. Certain branched covers of the order N elliptic orbifold are in bijection with )] TJ ET
BT 85.201 286.180 Td /F1 12.0 Tf [(tiled surfaces, and form a lattice in the moduli space of N-ic differentials on Riemann surfaces. )] TJ ET
BT 85.201 271.924 Td /F1 12.0 Tf [(Following Eskin-Okounkov, generating functions of these Hurwitz numbers can be computed as )] TJ ET
BT 85.201 257.668 Td /F1 12.0 Tf [(the q-trace of operators on Fock space. These operators naturally generalize to all orders N>1, )] TJ ET
BT 85.201 243.412 Td /F1 12.0 Tf [(suggesting a phantom "elliptic orbifold of order 5." I will discuss work-in-progress with Peter )] TJ ET
BT 85.201 229.156 Td /F1 12.0 Tf [(Smillie, proposing a definition for the Hurwitz theory of this non-existent object, and relating it to )] TJ ET
BT 85.201 214.900 Td /F1 12.0 Tf [(quasi-crystals in the moduli space of quintic differentials and the enumeration of Penrose-tiled )] TJ ET
BT 85.201 200.529 Td /F1 12.0 Tf [(Riemann surfaces. )] TJ ET
BT 36.266 156.844 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.201 156.844 Td /F2 12.0 Tf [(Coffee break - SCGP Cafe)] TJ ET
BT 36.266 133.588 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.201 133.588 Td /F2 12.0 Tf [(Dawei Chen - SCGP 102)] TJ ET
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BT 85.201 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 732.214 Td /F1 12.0 Tf [(Volume and intersection theory on moduli spaces of holomorphic differentials )] TJ ET
BT 85.201 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 703.529 Td /F1 12.0 Tf [(I will explain that the Masur-Veech volumes can be computed as intersection numbers )] TJ ET
BT 85.201 689.273 Td /F1 12.0 Tf [(on moduli spaces of holomorphic differentials. If time permits, I will also talk about an interesting )] TJ ET
BT 85.201 675.017 Td /F1 12.0 Tf [(connection to the proofs of Witten’s conjecture by Kontsevich, Mirzakhani, and Okounkov-)] TJ ET
BT 85.201 660.646 Td /F1 12.0 Tf [(Pandharipande. This is joint work with Moeller, Sauvaget, and Zagier \(arXiv:1901.01785\). )] TJ ET
BT 36.266 580.696 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.201 580.696 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 557.440 Td /F1 12.0 Tf [(1:30pm)] TJ ET
BT 85.201 557.440 Td /F2 12.0 Tf [(Yu-Wei Fan)] TJ ET
BT 85.201 525.069 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 525.069 Td /F1 12.0 Tf [(Systolic inequality for K3 surfaces via stability conditions )] TJ ET
BT 85.201 496.384 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 496.384 Td /F1 12.0 Tf [(The connection between flat surfaces and stability conditions has been established by )] TJ ET
BT 85.201 482.128 Td /F1 12.0 Tf [(Gaiotto-Moore-Neitzke, Bridgeland-Smith and Haiden-Katzarkov-Kontsevich. Motivated by this )] TJ ET
BT 85.201 467.872 Td /F1 12.0 Tf [(connection, we define a categorical analogue of 'systole' in terms of stability conditions. We prove )] TJ ET
BT 85.201 453.616 Td /F1 12.0 Tf [(that the systoles of stability conditions on certain K3 surfaces are bounded above by the square )] TJ ET
BT 85.201 439.360 Td /F1 12.0 Tf [(roots of the volumes of K3 surfaces. This is a generalization of Loewner’s torus systolic )] TJ ET
BT 85.201 424.989 Td /F1 12.0 Tf [(inequality from the perspective of Calabi-Yau geometry. )] TJ ET
BT 36.266 381.304 Td /F1 12.0 Tf [(2:45pm)] TJ ET
BT 85.201 381.304 Td /F2 12.0 Tf [(Aaron Fenyes)] TJ ET
BT 85.201 348.933 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 348.933 Td /F1 12.0 Tf [(A bumpy ride through the space of half-translation structures )] TJ ET
BT 85.201 320.248 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 320.248 Td /F1 12.0 Tf [( As you deform a half-translation surface with non-compact ends, its combinatorial )] TJ ET
BT 85.201 305.992 Td /F1 12.0 Tf [(features jump whenever a vertical saddle connection appears. The associated shear coordinates on )] TJ ET
BT 85.201 291.736 Td /F1 12.0 Tf [(the Teichmüller space of the surface jump too, giving the algebra of shear coordinates its )] TJ ET
BT 85.201 277.480 Td /F1 12.0 Tf [(celebrated cluster structure. When you deform a compact half-translation surface, you get an even )] TJ ET
BT 85.201 263.224 Td /F1 12.0 Tf [(bumpier ride, with jumps at a dense set of times. I'll set out some ideas for keeping track of these )] TJ ET
BT 85.201 248.853 Td /F1 12.0 Tf [(jumps, and show hints of a generalized cluster structure on the algebra of shear coordinates. )] TJ ET
BT 36.266 205.168 Td /F1 12.0 Tf [(3:45pm)] TJ ET
BT 85.201 205.168 Td /F2 12.0 Tf [(Tea time - SGCP Cafe)] TJ ET
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BT 262.706 179.261 Td /F2 14.0 Tf [(Friday, February 8th)] TJ ET
BT 36.266 160.780 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.201 160.780 Td /F2 12.0 Tf [(Du Pei - SCGP 102)] TJ ET
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BT 85.201 732.329 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 732.329 Td /F1 12.0 Tf [(We propose a new link between the geometry of the moduli space of wild Higgs bundles )] TJ ET
BT 85.201 718.073 Td /F1 12.0 Tf [(and quantum invariants of 3-manifolds. The construction goes through a class of four-dimensional )] TJ ET
BT 85.201 703.817 Td /F1 12.0 Tf [(quantum field theories known as Argyres-Douglas theories. Every such theory realizes a wild )] TJ ET
BT 85.201 689.561 Td /F1 12.0 Tf [(Hitchin space as its Coulomb branch and defines a VOA on the Higgs branch. The latter can be )] TJ ET
BT 85.201 675.305 Td /F1 12.0 Tf [(used to construct a non-unitary modular tensor category, which leads to 3d TQFTs that are )] TJ ET
BT 85.201 661.049 Td /F1 12.0 Tf [(generically non-unitary. This is based on joint work with Mykola Dedushenko, Sergei Gukov, )] TJ ET
BT 85.201 646.678 Td /F1 12.0 Tf [(Hiraku Nakajima and Ke Ye. )] TJ ET
BT 36.266 566.728 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.201 566.728 Td /F2 12.0 Tf [(Coffee break - SCGP Cafe)] TJ ET
BT 36.266 543.472 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.201 543.472 Td /F2 12.0 Tf [(Laura Schaposnik - SCGP 102)] TJ ET
BT 85.201 511.101 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.197 511.101 Td /F1 12.0 Tf [(Geometric correspondances between singular fibres of the Hitchin fibration )] TJ ET
BT 85.201 482.416 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.849 482.416 Td /F1 12.0 Tf [(Higgs bundles are pairs of holomorphic vector bundles and holomorphic 1-forms taking )] TJ ET
BT 85.201 468.160 Td /F1 12.0 Tf [(values in the endomorphisms of the bundle, and their moduli spaces carry a natural hyperkahler )] TJ ET
BT 85.201 453.904 Td /F1 12.0 Tf [(structure, through which one can study Lagrangian subspaces \(A-branes\) or holomorphic subspaces )] TJ ET
BT 85.201 439.648 Td /F1 12.0 Tf [(\(B-branes\). Notably, these A and B-branes have gained significant attention both within )] TJ ET
BT 85.201 425.392 Td /F1 12.0 Tf [(mathematics and string theory. In this talk we shall consider novel correspondences between branes )] TJ ET
BT 85.201 411.136 Td /F1 12.0 Tf [(lying completely within the singular fibres of the Hitchin fibration, which can be understood )] TJ ET
BT 85.201 396.880 Td /F1 12.0 Tf [(through group isomorphisms. The talk is based on work in progress with Steve Bradlow and Lucas )] TJ ET
BT 85.201 382.509 Td /F1 12.0 Tf [(Branco, and with Sebastian Schulz. )] TJ ET
BT 36.266 338.824 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.201 338.824 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 315.568 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.201 315.568 Td /F2 12.0 Tf [(Tea time - SCGP Cafe)] TJ ET
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