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BT 116.589 716.845 Td /F2 24.0 Tf [(Homological Methods in Quantum Field )] TJ ET
BT 155.913 688.333 Td /F2 24.0 Tf [(Theory Workshop Talk Schedule)] TJ ET
BT 283.536 649.270 Td /F2 18.0 Tf [(Events for:)] TJ ET
BT 143.793 627.843 Td /F2 18.0 Tf [(Monday, September 29th - Friday, October 3rd)] TJ ET
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BT 250.642 591.571 Td /F2 14.0 Tf [(Monday, September 29th)] TJ ET
BT 36.266 573.694 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 85.182 573.089 Td /F2 12.0 Tf [(Registration/Breakfast - SCGP Lobby and Cafe)] TJ ET
BT 36.266 553.438 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.182 552.833 Td /F2 12.0 Tf [(Owen Gwilliam - SCGP 102)] TJ ET
BT 85.182 523.462 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 523.462 Td /F1 12.0 Tf [(TBA )] TJ ET
BT 85.182 494.662 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 494.662 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 451.582 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.182 450.977 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 431.326 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.182 430.721 Td /F2 12.0 Tf [(Si Li - SCGP 102)] TJ ET
BT 85.182 401.350 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 401.350 Td /F1 12.0 Tf [(Perturbative renormalization and supersymmetric localization )] TJ ET
BT 85.182 372.665 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 372.665 Td /F1 12.0 Tf [(Index theorems are "proved" in physics via the SUSY localization in QFT, generating a )] TJ ET
BT 85.182 358.409 Td /F1 12.0 Tf [(great beauty and simplicity conceptually together with a substantial difficulty rigorously. In this )] TJ ET
BT 85.182 344.153 Td /F1 12.0 Tf [(lecture, I will explain an analogue realization of such QFT idea within Costello's perturbative )] TJ ET
BT 85.182 329.897 Td /F1 12.0 Tf [(renormalization theory. In lecture I, I will describe a Chern-Simons type theory for the one )] TJ ET
BT 85.182 315.641 Td /F1 12.0 Tf [(dimensional sigma model with target a symplectic manifold. We establish an equivalence between )] TJ ET
BT 85.182 301.385 Td /F1 12.0 Tf [(the BV quantization of our model and Fedosov's deformation quantization. In lecture II, I will )] TJ ET
BT 85.182 287.129 Td /F1 12.0 Tf [(describe the trace map on quantum observables. We will show that a rescaling symmetry of )] TJ ET
BT 85.182 272.873 Td /F1 12.0 Tf [(Fedosov's deformation quantization leads to an exact computation of the trace via the semi-)] TJ ET
BT 85.182 258.617 Td /F1 12.0 Tf [(classical approximation. The homotopy of the rescaling plays the role of SUSY localization, giving )] TJ ET
BT 85.182 244.246 Td /F1 12.0 Tf [(rise to a simple proof of algebraic index theorem. )] TJ ET
BT 36.266 201.166 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.182 200.561 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 180.910 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 85.182 180.305 Td /F2 12.0 Tf [(Jae-Suk Park - SCGP 102)] TJ ET
BT 85.182 150.934 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 150.934 Td /F1 12.0 Tf [(QFT Algebras and Quantum Correlation Functions )] TJ ET
BT 85.182 122.134 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 122.134 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 79.054 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 85.182 78.449 Td /F2 12.0 Tf [(Short Break)] TJ ET
BT 36.266 58.798 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 85.182 58.193 Td /F2 12.0 Tf [(Kevin Costello - SCGP 102)] TJ ET
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BT 85.182 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 732.214 Td /F1 12.0 Tf [(TBA )] TJ ET
BT 85.182 703.414 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 703.414 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 660.334 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.182 659.729 Td /F2 12.0 Tf [(Special Tea for Alexander Zamolodchikov - SCGP Lobby)] TJ ET
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BT 250.250 636.823 Td /F2 14.0 Tf [(Tuesday, September 30th)] TJ ET
BT 36.266 618.946 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 85.182 618.341 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 598.690 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.182 598.085 Td /F2 12.0 Tf [(Vasily Dolgushev - SCGP 102)] TJ ET
BT 85.182 568.714 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 568.714 Td /F1 12.0 Tf [(Operads, homotopy algebras and all that jazz... )] TJ ET
BT 85.182 540.029 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 540.029 Td /F1 12.0 Tf [(The goal of this series of lectures is to give an answer to the question "What do )] TJ ET
BT 85.182 525.773 Td /F1 12.0 Tf [(homotopy algebras form?". My presentation will be based on recent papers arXiv:1406.1744 and )] TJ ET
BT 85.182 511.517 Td /F1 12.0 Tf [(arXiv:1406.1751. In the first lecture, I will recall the notions of operad, cooperad and cobar )] TJ ET
BT 85.182 497.261 Td /F1 12.0 Tf [(construction. I will define homotopy algebras, give several examples and formulate the homotopy )] TJ ET
BT 85.182 483.005 Td /F1 12.0 Tf [(transfer theorem. In the second lecture, I will introduce L-infinity algebras, the Deligne-Getzler-)] TJ ET
BT 85.182 468.749 Td /F1 12.0 Tf [(Hinich\(DGH\) infinity groupoid and talk about categories enriched "over L-infinity algebras". In the )] TJ ET
BT 85.182 454.493 Td /F1 12.0 Tf [(third lecture, I will show that homotopy algebras of a fixed type naturally form a category enriched )] TJ ET
BT 85.182 440.237 Td /F1 12.0 Tf [("over L-infinity algebras". Finally, I will explain in what sense this enriched category stands behind )] TJ ET
BT 85.182 425.866 Td /F1 12.0 Tf [(the homotopy category of homotopy algebras of a fixed type.)] TJ ET
BT 36.266 382.786 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.182 382.181 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 362.530 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.182 361.925 Td /F2 12.0 Tf [(Kevin Costello - SCGP 102)] TJ ET
BT 85.182 332.554 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 332.554 Td /F1 12.0 Tf [(TBA )] TJ ET
BT 85.182 303.754 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 303.754 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 260.674 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 85.182 260.069 Td /F2 12.0 Tf [(AST-105 - SCGP 103)] TJ ET
BT 36.266 240.418 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.182 239.813 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 220.162 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 85.182 219.557 Td /F2 12.0 Tf [(Ryan Grady - SCGP 102)] TJ ET
BT 85.182 190.186 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 190.186 Td /F1 12.0 Tf [(Moduli/$\\beta$-functions for BV theories )] TJ ET
BT 85.182 161.386 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 161.386 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 118.306 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 85.182 117.701 Td /F2 12.0 Tf [(Short Break)] TJ ET
BT 36.266 98.050 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 85.182 97.445 Td /F2 12.0 Tf [(Si Li - SCGP 102)] TJ ET
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BT 85.182 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 732.214 Td /F1 12.0 Tf [(Perturbative renormalization and supersymmetric localization )] TJ ET
BT 85.182 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 703.529 Td /F1 12.0 Tf [(Index theorems are "proved" in physics via the SUSY localization in QFT, generating a )] TJ ET
BT 85.182 689.273 Td /F1 12.0 Tf [(great beauty and simplicity conceptually together with a substantial difficulty rigorously. In this )] TJ ET
BT 85.182 675.017 Td /F1 12.0 Tf [(lecture, I will explain an analogue realization of such QFT idea within Costello's perturbative )] TJ ET
BT 85.182 660.761 Td /F1 12.0 Tf [(renormalization theory. In lecture I, I will describe a Chern-Simons type theory for the one )] TJ ET
BT 85.182 646.505 Td /F1 12.0 Tf [(dimensional sigma model with target a symplectic manifold. We establish an equivalence between )] TJ ET
BT 85.182 632.249 Td /F1 12.0 Tf [(the BV quantization of our model and Fedosov's deformation quantization. In lecture II, I will )] TJ ET
BT 85.182 617.993 Td /F1 12.0 Tf [(describe the trace map on quantum observables. We will show that a rescaling symmetry of )] TJ ET
BT 85.182 603.737 Td /F1 12.0 Tf [(Fedosov's deformation quantization leads to an exact computation of the trace via the semi-)] TJ ET
BT 85.182 589.481 Td /F1 12.0 Tf [(classical approximation. The homotopy of the rescaling plays the role of SUSY localization, giving )] TJ ET
BT 85.182 575.110 Td /F1 12.0 Tf [(rise to a simple proof of algebraic index theorem. )] TJ ET
BT 36.266 532.030 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.182 531.425 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby)] TJ ET
BT 36.266 511.774 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 85.182 511.169 Td /F2 12.0 Tf [(Fall Simons Lecture by Steve Zelditch of Northwestern University - SCGP 103)] TJ ET
BT 85.182 481.913 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 481.913 Td /F1 12.0 Tf [( Plank’s constant, time and stationary states in quantum mechanics Quantum mechanics )] TJ ET
BT 85.182 467.657 Td /F1 12.0 Tf [(solved the problem of how a particle can move and be stationary at the same time. It did this by )] TJ ET
BT 85.182 453.401 Td /F1 12.0 Tf [(replacing geometry \(classical mechanics\) by linear algebra \(eigenfunctions, eigenvalues and )] TJ ET
BT 85.182 439.145 Td /F1 12.0 Tf [(spectral theory\). But intuition asks for a geometric picture of the time evolution of quantum states )] TJ ET
BT 85.182 424.889 Td /F1 12.0 Tf [(and the topography of eigenfunctions. As Planck's constant h approaches 0, quantum mechanical )] TJ ET
BT 85.182 410.633 Td /F1 12.0 Tf [(objects have asymptotic relations to classical mechanical objects and provide the best picture )] TJ ET
BT 85.182 396.377 Td /F1 12.0 Tf [(possible. My talks will concentrate on topography of eigenfunctions of the Laplacian on )] TJ ET
BT 85.182 382.121 Td /F1 12.0 Tf [(Riemannian manifolds \(M,g\): their sizes and shapes as measured by their zero sets, sup norms, and )] TJ ET
BT 85.182 367.865 Td /F1 12.0 Tf [(Lp norms. One theme is to describe the \(M, g\) possessing extremal eigenfunctions. Another is the )] TJ ET
BT 85.182 353.609 Td /F1 12.0 Tf [(real and complex geometry of zero sets. The methods come from microlocal analysis and complex )] TJ ET
BT 85.182 339.238 Td /F1 12.0 Tf [(geometry. No prior knowledge of quantum mechanics or PDE is assumed. )] TJ ET
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BT 253.365 292.903 Td /F2 14.0 Tf [(Wednesday, October 1st)] TJ ET
BT 36.266 275.026 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 85.182 274.421 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 254.770 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.182 254.165 Td /F2 12.0 Tf [(Katarzyna Rejzner - SCGP 102)] TJ ET
BT 85.182 224.794 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 224.794 Td /F1 12.0 Tf [(BV algebras in perturbative algebraic quantum field theory )] TJ ET
BT 85.182 196.109 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 196.109 Td /F1 12.0 Tf [(Perturbative algebraic quantum field theory \(pAQFT\) is a rigorous formulation of )] TJ ET
BT 85.182 181.853 Td /F1 12.0 Tf [(perturbative QFT, based on the seminal work of Epstein and Glaser from 1973. In the 90's this )] TJ ET
BT 85.182 167.597 Td /F1 12.0 Tf [(approach got significantly more attention, since it got successfully applied to study QFT on a very )] TJ ET
BT 85.182 153.341 Td /F1 12.0 Tf [(general class of Lorentzian manifolds. Recently, also gauge theories got incorporated into the )] TJ ET
BT 85.182 139.085 Td /F1 12.0 Tf [(framework of pAQFT, with the use of the so called BV formalism. In this talk, based on my recent )] TJ ET
BT 85.182 124.829 Td /F1 12.0 Tf [(results, I will show how the Gerstenhaber algebras and the BV algebras arise naturally in the )] TJ ET
BT 85.182 110.458 Td /F1 12.0 Tf [(pAQFT framework and how this structure can be utilized in quantization of gauge theories.)] TJ ET
BT 36.266 67.378 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.182 66.773 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 47.122 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.182 46.517 Td /F2 12.0 Tf [(Mikhail Movshev - SCGP 102)] TJ ET
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BT 85.182 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 732.214 Td /F1 12.0 Tf [(On the Hilbert space of a \\beta\\gamma-system on pure spinors )] TJ ET
BT 85.182 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 703.529 Td /F1 12.0 Tf [(Berkovits string theory is well known for a heavy use of homological algebra. )] TJ ET
BT 85.182 689.273 Td /F1 12.0 Tf [(Construction of the Hilbert space in the theory is still an outstanding problem despite of serious )] TJ ET
BT 85.182 675.017 Td /F1 12.0 Tf [(attempts to define it. The problem is unlikely to be solved without a use of homological methods. )] TJ ET
BT 85.182 660.761 Td /F1 12.0 Tf [(In the talk I will present my approach by explaining the construction and by showing that the space )] TJ ET
BT 85.182 646.390 Td /F1 12.0 Tf [(has many nice properties conjectured by physicists.)] TJ ET
BT 36.266 603.310 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.182 602.705 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 583.054 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 85.182 582.449 Td /F2 12.0 Tf [(Maxim Zabzine - SCGP 102)] TJ ET
BT 85.182 553.078 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 553.078 Td /F1 12.0 Tf [(Localization for 5D Yang-Mills theory )] TJ ET
BT 85.182 524.278 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 524.278 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 481.198 Td /F1 12.0 Tf [(2:00pm)] TJ ET
BT 85.182 480.593 Td /F2 12.0 Tf [(Hold for Nikita's Student Seminars - SCGP-313)] TJ ET
BT 36.266 460.942 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 85.182 460.337 Td /F2 12.0 Tf [(Short Break)] TJ ET
BT 36.266 440.686 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 85.182 440.081 Td /F2 12.0 Tf [(Vasily Dolgushev - SCGP 102)] TJ ET
BT 85.182 410.710 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 410.710 Td /F1 12.0 Tf [(L-infinity algebras and categories enriched "over L-infinity algebras". )] TJ ET
BT 85.182 382.025 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 382.025 Td /F1 12.0 Tf [(The goal of this series of lectures is to give an answer to the question "What do )] TJ ET
BT 85.182 367.769 Td /F1 12.0 Tf [(homotopy algebras form?". My presentation will be based on recent papers arXiv:1406.1744 and )] TJ ET
BT 85.182 353.513 Td /F1 12.0 Tf [(arXiv:1406.1751. In the first lecture, I will recall the notions of operad, cooperad and cobar )] TJ ET
BT 85.182 339.257 Td /F1 12.0 Tf [(construction. I will define homotopy algebras, give several examples and formulate the homotopy )] TJ ET
BT 85.182 325.001 Td /F1 12.0 Tf [(transfer theorem. In the second lecture, I will introduce L-infinity algebras, the Deligne-Getzler-)] TJ ET
BT 85.182 310.745 Td /F1 12.0 Tf [(Hinich\(DGH\) infinity groupoid and talk about categories enriched "over L-infinity algebras". In the )] TJ ET
BT 85.182 296.489 Td /F1 12.0 Tf [(third lecture, I will show that homotopy algebras of a fixed type naturally form a category enriched )] TJ ET
BT 85.182 282.233 Td /F1 12.0 Tf [("over L-infinity algebras". Finally, I will explain in what sense this enriched category stands behind )] TJ ET
BT 85.182 267.862 Td /F1 12.0 Tf [(the homotopy category of homotopy algebras of a fixed type.)] TJ ET
BT 36.266 224.782 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.182 224.177 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby)] TJ ET
BT 36.266 204.526 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 85.182 203.921 Td /F2 12.0 Tf [(Fall Simons Lecture by Steve Zelditch of Northwestern University - SCGP 102)] TJ ET
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BT 85.182 732.329 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 732.329 Td /F1 12.0 Tf [( Plank’s constant, time and stationary states in quantum mechanics Quantum mechanics )] TJ ET
BT 85.182 718.073 Td /F1 12.0 Tf [(solved the problem of how a particle can move and be stationary at the same time. It did this by )] TJ ET
BT 85.182 703.817 Td /F1 12.0 Tf [(replacing geometry \(classical mechanics\) by linear algebra \(eigenfunctions, eigenvalues and )] TJ ET
BT 85.182 689.561 Td /F1 12.0 Tf [(spectral theory\). But intuition asks for a geometric picture of the time evolution of quantum states )] TJ ET
BT 85.182 675.305 Td /F1 12.0 Tf [(and the topography of eigenfunctions. As Planck's constant h approaches 0, quantum mechanical )] TJ ET
BT 85.182 661.049 Td /F1 12.0 Tf [(objects have asymptotic relations to classical mechanical objects and provide the best picture )] TJ ET
BT 85.182 646.793 Td /F1 12.0 Tf [(possible. My talks will concentrate on topography of eigenfunctions of the Laplacian on )] TJ ET
BT 85.182 632.537 Td /F1 12.0 Tf [(Riemannian manifolds \(M,g\): their sizes and shapes as measured by their zero sets, sup norms, and )] TJ ET
BT 85.182 618.281 Td /F1 12.0 Tf [(Lp norms. One theme is to describe the \(M, g\) possessing extremal eigenfunctions. Another is the )] TJ ET
BT 85.182 604.025 Td /F1 12.0 Tf [(real and complex geometry of zero sets. The methods come from microlocal analysis and complex )] TJ ET
BT 85.182 589.654 Td /F1 12.0 Tf [(geometry. No prior knowledge of quantum mechanics or PDE is assumed. )] TJ ET
BT 36.266 546.574 Td /F1 12.0 Tf [(5:00pm)] TJ ET
BT 85.182 545.969 Td /F2 12.0 Tf [(Tim Nguyen - SCGP 102)] TJ ET
BT 85.182 516.598 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 516.598 Td /F1 12.0 Tf [( A differential geometer explains BV quantization of the nonlinear sigma model)] TJ ET
BT 36.266 473.518 Td /F1 12.0 Tf [(6:00pm)] TJ ET
BT 85.182 472.913 Td /F2 12.0 Tf [(Workshop Banquet - SCGP Cafe)] TJ ET
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BT 256.074 450.007 Td /F2 14.0 Tf [(Thursday, October 2nd)] TJ ET
BT 36.266 432.130 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 85.182 431.525 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 411.874 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.182 411.269 Td /F2 12.0 Tf [(Vasily Dolgushev - SCGP 102)] TJ ET
BT 85.182 381.898 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 381.898 Td /F1 12.0 Tf [(What do homotopy algebras form? )] TJ ET
BT 85.182 353.213 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 353.213 Td /F1 12.0 Tf [(The goal of this series of lectures is to give an answer to the question "What do )] TJ ET
BT 85.182 338.957 Td /F1 12.0 Tf [(homotopy algebras form?". My presentation will be based on recent papers arXiv:1406.1744 and )] TJ ET
BT 85.182 324.701 Td /F1 12.0 Tf [(arXiv:1406.1751. In the first lecture, I will recall the notions of operad, cooperad and cobar )] TJ ET
BT 85.182 310.445 Td /F1 12.0 Tf [(construction. I will define homotopy algebras, give several examples and formulate the homotopy )] TJ ET
BT 85.182 296.189 Td /F1 12.0 Tf [(transfer theorem. In the second lecture, I will introduce L-infinity algebras, the Deligne-Getzler-)] TJ ET
BT 85.182 281.933 Td /F1 12.0 Tf [(Hinich\(DGH\) infinity groupoid and talk about categories enriched "over L-infinity algebras". In the )] TJ ET
BT 85.182 267.677 Td /F1 12.0 Tf [(third lecture, I will show that homotopy algebras of a fixed type naturally form a category enriched )] TJ ET
BT 85.182 253.421 Td /F1 12.0 Tf [("over L-infinity algebras". Finally, I will explain in what sense this enriched category stands behind )] TJ ET
BT 85.182 239.050 Td /F1 12.0 Tf [(the homotopy category of homotopy algebras of a fixed type.)] TJ ET
BT 36.266 195.970 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.182 195.365 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 175.714 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.182 175.109 Td /F2 12.0 Tf [(Claudia Scheimbauer - SCGP 102)] TJ ET
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BT 85.182 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 732.214 Td /F1 12.0 Tf [(Factorization homology as a fully extended TFT )] TJ ET
BT 85.182 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 703.529 Td /F1 12.0 Tf [(\(Homotopy\) algebras and \(pointed\) bimodules over them can be viewed as factorization )] TJ ET
BT 85.182 689.273 Td /F1 12.0 Tf [(algebras on the real line R which are locally constant with respect to a certain stratification. )] TJ ET
BT 85.182 675.017 Td /F1 12.0 Tf [(Moreover, Lurie proved that E_n-algebras are equivalent to locally constant factorization algebras )] TJ ET
BT 85.182 660.761 Td /F1 12.0 Tf [(on R^n. Starting from these two facts I will explain how to model the Morita category of E_n-)] TJ ET
BT 85.182 646.505 Td /F1 12.0 Tf [(algebras as an \(\\infty, n\)-category. Every object in this category, i.e. any E_n-algebra A, is "fully )] TJ ET
BT 85.182 632.249 Td /F1 12.0 Tf [(dualizable" and thus gives rise to a fully extended TFT by the cobordism hypothesis of Baez-Dolan-)] TJ ET
BT 85.182 617.993 Td /F1 12.0 Tf [(Lurie. I will explain how this TFT can be explicitly constructed by \(essentially\) taking factorization )] TJ ET
BT 85.182 603.622 Td /F1 12.0 Tf [(homology with coefficients in the E_n-algebra A.)] TJ ET
BT 36.266 560.542 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 85.182 559.937 Td /F2 12.0 Tf [(AST-105 - SCGP 103)] TJ ET
BT 36.266 540.286 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.182 539.681 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 520.030 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 85.182 519.425 Td /F2 12.0 Tf [(Vasily Pestun - SCGP 102)] TJ ET
BT 85.182 490.054 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 490.054 Td /F1 12.0 Tf [(Supersymmetric localization and equivariant cohomology of quantum field theories )] TJ ET
BT 85.182 461.254 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 461.254 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 418.174 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 85.182 417.569 Td /F2 12.0 Tf [(Short Break)] TJ ET
BT 36.266 397.918 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 85.182 397.313 Td /F2 12.0 Tf [(Chris Elliott - SCGP 102)] TJ ET
BT 85.182 367.942 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 367.942 Td /F1 12.0 Tf [(Nonperturbative Descriptions for Twists of Classical Field Theories )] TJ ET
BT 85.182 339.257 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 339.257 Td /F1 12.0 Tf [(The procedure of "twisting" allows one to produce classical or quantum field theories )] TJ ET
BT 85.182 325.001 Td /F1 12.0 Tf [(with desirable symmetry properties \(like translation or conformal invariance\) from the action of a )] TJ ET
BT 85.182 310.745 Td /F1 12.0 Tf [(certain supergroup. I'll explain how to define and compute these twists for classical theories both )] TJ ET
BT 85.182 296.489 Td /F1 12.0 Tf [(perturbatively and non-perturbatively, i.e. on the level of the derived critical locus of the action. )] TJ ET
BT 85.182 282.233 Td /F1 12.0 Tf [(This procedure recovers moduli spaces of interest for geometric representation theory, related to )] TJ ET
BT 85.182 267.862 Td /F1 12.0 Tf [(moduli stacks of holomorphic or flat G-bundles, from N=4 supersymmetric gauge theory. )] TJ ET
BT 36.266 224.782 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.182 224.177 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby)] TJ ET
BT 36.266 204.526 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 85.182 203.921 Td /F2 12.0 Tf [(Fall Simons Lecture by Steve Zelditch of Northwestern University - SCGP 102)] TJ ET
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BT 85.182 732.329 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 732.329 Td /F1 12.0 Tf [( Plank’s constant, time and stationary states in quantum mechanics Quantum mechanics )] TJ ET
BT 85.182 718.073 Td /F1 12.0 Tf [(solved the problem of how a particle can move and be stationary at the same time. It did this by )] TJ ET
BT 85.182 703.817 Td /F1 12.0 Tf [(replacing geometry \(classical mechanics\) by linear algebra \(eigenfunctions, eigenvalues and )] TJ ET
BT 85.182 689.561 Td /F1 12.0 Tf [(spectral theory\). But intuition asks for a geometric picture of the time evolution of quantum states )] TJ ET
BT 85.182 675.305 Td /F1 12.0 Tf [(and the topography of eigenfunctions. As Planck's constant h approaches 0, quantum mechanical )] TJ ET
BT 85.182 661.049 Td /F1 12.0 Tf [(objects have asymptotic relations to classical mechanical objects and provide the best picture )] TJ ET
BT 85.182 646.793 Td /F1 12.0 Tf [(possible. My talks will concentrate on topography of eigenfunctions of the Laplacian on )] TJ ET
BT 85.182 632.537 Td /F1 12.0 Tf [(Riemannian manifolds \(M,g\): their sizes and shapes as measured by their zero sets, sup norms, and )] TJ ET
BT 85.182 618.281 Td /F1 12.0 Tf [(Lp norms. One theme is to describe the \(M, g\) possessing extremal eigenfunctions. Another is the )] TJ ET
BT 85.182 604.025 Td /F1 12.0 Tf [(real and complex geometry of zero sets. The methods come from microlocal analysis and complex )] TJ ET
BT 85.182 589.654 Td /F1 12.0 Tf [(geometry. No prior knowledge of quantum mechanics or PDE is assumed. )] TJ ET
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BT 265.811 543.319 Td /F2 14.0 Tf [(Friday, October 3rd)] TJ ET
BT 36.266 525.442 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 85.182 524.837 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 505.186 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.182 504.581 Td /F2 12.0 Tf [(Qin Li - SCGP 102)] TJ ET
BT 85.182 475.210 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 475.210 Td /F1 12.0 Tf [(Perturbative Rozansky-Witten theory )] TJ ET
BT 85.182 446.410 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 446.410 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 403.330 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.182 402.725 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 383.074 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.182 382.469 Td /F2 12.0 Tf [(Theo Johnson-Freyd - SCGP 102)] TJ ET
BT 85.182 353.098 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 353.098 Td /F1 12.0 Tf [(Poisson AKSZ theories )] TJ ET
BT 85.182 324.413 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 324.413 Td /F1 12.0 Tf [(I will describe a version of the AKSZ construction that applies to possibly-open source )] TJ ET
BT 85.182 310.157 Td /F1 12.0 Tf [(manifolds and to possibly-infinite-dimensional Poisson \(as opposed to symplectic\) target manifolds )] TJ ET
BT 85.182 295.901 Td /F1 12.0 Tf [(\(the cost being that the target must be infinitesimal\). Quantization of such theories has to do with )] TJ ET
BT 85.182 281.645 Td /F1 12.0 Tf [(the relationship between dioperads and properads, and to the fact \(due to Merkulov and Vallette\) )] TJ ET
BT 85.182 267.389 Td /F1 12.0 Tf [(that formality in one world does not imply formality in the other. In particular, universal )] TJ ET
BT 85.182 253.133 Td /F1 12.0 Tf [(quantization of AKSZ theories on R^d is equivalent to the formality of a certain properad which is )] TJ ET
BT 85.182 238.762 Td /F1 12.0 Tf [(formal as a dioperad. I will conjecture that it is also equivalent to formality of the E_d operad.)] TJ ET
BT 36.266 195.682 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.182 195.077 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 175.426 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 85.182 174.821 Td /F2 12.0 Tf [(Pavel Mnev - SCGP 102)] TJ ET
BT 85.182 145.565 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 145.565 Td /F1 12.0 Tf [(An example of a cellular topological quantum field theory in BV-BFV formalism, with )] TJ ET
BT 85.182 131.194 Td /F1 12.0 Tf [(Segal-like gluing. )] TJ ET
BT 85.182 102.394 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 102.394 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 59.314 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 85.182 58.709 Td /F2 12.0 Tf [(Short Break)] TJ ET
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BT 36.266 744.934 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 85.182 744.329 Td /F2 12.0 Tf [(Bruno Vallette - SCGP 102)] TJ ET
BT 85.182 714.958 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.178 714.958 Td /F1 12.0 Tf [(Givental action and trivialization of circle action )] TJ ET
BT 85.182 686.273 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.830 686.273 Td /F1 12.0 Tf [(In this talk, I will show that the Givental group action on genus zero cohomological field )] TJ ET
BT 85.182 672.017 Td /F1 12.0 Tf [(theories, also known as formal Frobenius manifolds or hypercommutative algebras, naturally arises )] TJ ET
BT 85.182 657.761 Td /F1 12.0 Tf [(in the deformation theory of Batalin--Vilkovisky algebras. This implies that the Givental action is )] TJ ET
BT 85.182 643.505 Td /F1 12.0 Tf [(equal to an action of the trivialisations of the trivial circle action. This result relies on the equality )] TJ ET
BT 85.182 629.249 Td /F1 12.0 Tf [(of two Lie algebra actions coming from two apparently remote domains: geometry and )] TJ ET
BT 85.182 614.878 Td /F1 12.0 Tf [(homotopical algebra. \(Joint work with Sergei Shadrin and Vladimir Dotsenko\))] TJ ET
BT 36.266 571.798 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.182 571.193 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby)] TJ ET
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