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BT 116.583 716.845 Td /F2 24.0 Tf [(Homological Methods in Quantum Field )] TJ ET
BT 155.907 688.333 Td /F2 24.0 Tf [(Theory Workshop Talk Schedule)] TJ ET
BT 283.530 649.270 Td /F2 18.0 Tf [(Events for:)] TJ ET
BT 143.787 627.843 Td /F2 18.0 Tf [(Monday, September 29th - Friday, October 3rd)] TJ ET
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BT 250.636 591.571 Td /F2 14.0 Tf [(Monday, September 29th)] TJ ET
BT 36.266 573.089 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 85.169 573.089 Td /F2 12.0 Tf [(Registration/Breakfast - SCGP Lobby and Cafe)] TJ ET
BT 36.266 549.833 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.169 549.833 Td /F2 12.0 Tf [(Owen Gwilliam - SCGP 102)] TJ ET
BT 85.169 517.462 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 517.462 Td /F1 12.0 Tf [(TBA )] TJ ET
BT 85.169 488.662 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 488.662 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 444.977 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.169 444.977 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 421.721 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.169 421.721 Td /F2 12.0 Tf [(Si Li - SCGP 102)] TJ ET
BT 85.169 389.350 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 389.350 Td /F1 12.0 Tf [(Perturbative renormalization and supersymmetric localization )] TJ ET
BT 85.169 360.665 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 360.665 Td /F1 12.0 Tf [(Index theorems are "proved" in physics via the SUSY localization in QFT, generating a )] TJ ET
BT 85.169 346.409 Td /F1 12.0 Tf [(great beauty and simplicity conceptually together with a substantial difficulty rigorously. In this )] TJ ET
BT 85.169 332.153 Td /F1 12.0 Tf [(lecture, I will explain an analogue realization of such QFT idea within Costello's perturbative )] TJ ET
BT 85.169 317.897 Td /F1 12.0 Tf [(renormalization theory. In lecture I, I will describe a Chern-Simons type theory for the one )] TJ ET
BT 85.169 303.641 Td /F1 12.0 Tf [(dimensional sigma model with target a symplectic manifold. We establish an equivalence between )] TJ ET
BT 85.169 289.385 Td /F1 12.0 Tf [(the BV quantization of our model and Fedosov's deformation quantization. In lecture II, I will )] TJ ET
BT 85.169 275.129 Td /F1 12.0 Tf [(describe the trace map on quantum observables. We will show that a rescaling symmetry of )] TJ ET
BT 85.169 260.873 Td /F1 12.0 Tf [(Fedosov's deformation quantization leads to an exact computation of the trace via the semi-)] TJ ET
BT 85.169 246.617 Td /F1 12.0 Tf [(classical approximation. The homotopy of the rescaling plays the role of SUSY localization, giving )] TJ ET
BT 85.169 232.246 Td /F1 12.0 Tf [(rise to a simple proof of algebraic index theorem. )] TJ ET
BT 36.266 188.561 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.169 188.561 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 165.305 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 85.169 165.305 Td /F2 12.0 Tf [(Jae-Suk Park - SCGP 102)] TJ ET
BT 85.169 132.934 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 132.934 Td /F1 12.0 Tf [(QFT Algebras and Quantum Correlation Functions )] TJ ET
BT 85.169 104.134 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 104.134 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 60.449 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 85.169 60.449 Td /F2 12.0 Tf [(Short Break)] TJ ET
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BT 36.266 702.064 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 85.169 702.064 Td /F2 12.0 Tf [(Kevin Costello - SCGP 102)] TJ ET
BT 85.169 669.693 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 669.693 Td /F1 12.0 Tf [(TBA )] TJ ET
BT 85.169 640.893 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 640.893 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 597.208 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.169 597.208 Td /F2 12.0 Tf [(Special Tea for Alexander Zamolodchikov - SCGP Lobby)] TJ ET
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BT 250.244 571.301 Td /F2 14.0 Tf [(Tuesday, September 30th)] TJ ET
BT 36.266 552.820 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 85.169 552.820 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 529.564 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.169 529.564 Td /F2 12.0 Tf [(Vasily Dolgushev - SCGP 102)] TJ ET
BT 85.169 497.193 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 497.193 Td /F1 12.0 Tf [(Operads, homotopy algebras and all that jazz... )] TJ ET
BT 85.169 468.508 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 468.508 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 85.169 454.252 Td /F1 12.0 Tf [(homotopy algebras form?". My presentation will be based on recent papers arXiv:1406.1744 and )] TJ ET
BT 85.169 439.996 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 85.169 425.740 Td /F1 12.0 Tf [(construction. I will define homotopy algebras, give several examples and formulate the homotopy )] TJ ET
BT 85.169 411.484 Td /F1 12.0 Tf [(transfer theorem. In the second lecture, I will introduce L-infinity algebras, the Deligne-Getzler-)] TJ ET
BT 85.169 397.228 Td /F1 12.0 Tf [(Hinich\(DGH\) infinity groupoid and talk about categories enriched "over L-infinity algebras". In the )] TJ ET
BT 85.169 382.972 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 85.169 368.716 Td /F1 12.0 Tf [("over L-infinity algebras". Finally, I will explain in what sense this enriched category stands behind )] TJ ET
BT 85.169 354.345 Td /F1 12.0 Tf [(the homotopy category of homotopy algebras of a fixed type.)] TJ ET
BT 36.266 310.660 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.169 310.660 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 287.404 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.169 287.404 Td /F2 12.0 Tf [(Kevin Costello - SCGP 102)] TJ ET
BT 85.169 255.033 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 255.033 Td /F1 12.0 Tf [(TBA )] TJ ET
BT 85.169 226.233 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 226.233 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 182.548 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 85.169 182.548 Td /F2 12.0 Tf [(AST-105 - SCGP 103)] TJ ET
BT 36.266 159.292 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.169 159.292 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 136.036 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 85.169 136.036 Td /F2 12.0 Tf [(Ryan Grady - SCGP 102)] TJ ET
BT 85.169 103.665 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 103.665 Td /F1 12.0 Tf [(Moduli/$\\beta$-functions for BV theories )] TJ ET
BT 85.169 74.865 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 74.865 Td /F1 12.0 Tf [(TBA)] TJ ET
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BT 36.266 744.329 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 85.169 744.329 Td /F2 12.0 Tf [(Short Break)] TJ ET
BT 36.266 721.073 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 85.169 721.073 Td /F2 12.0 Tf [(Si Li - SCGP 102)] TJ ET
BT 85.169 688.702 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 688.702 Td /F1 12.0 Tf [(Perturbative renormalization and supersymmetric localization )] TJ ET
BT 85.169 660.017 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 660.017 Td /F1 12.0 Tf [(Index theorems are "proved" in physics via the SUSY localization in QFT, generating a )] TJ ET
BT 85.169 645.761 Td /F1 12.0 Tf [(great beauty and simplicity conceptually together with a substantial difficulty rigorously. In this )] TJ ET
BT 85.169 631.505 Td /F1 12.0 Tf [(lecture, I will explain an analogue realization of such QFT idea within Costello's perturbative )] TJ ET
BT 85.169 617.249 Td /F1 12.0 Tf [(renormalization theory. In lecture I, I will describe a Chern-Simons type theory for the one )] TJ ET
BT 85.169 602.993 Td /F1 12.0 Tf [(dimensional sigma model with target a symplectic manifold. We establish an equivalence between )] TJ ET
BT 85.169 588.737 Td /F1 12.0 Tf [(the BV quantization of our model and Fedosov's deformation quantization. In lecture II, I will )] TJ ET
BT 85.169 574.481 Td /F1 12.0 Tf [(describe the trace map on quantum observables. We will show that a rescaling symmetry of )] TJ ET
BT 85.169 560.225 Td /F1 12.0 Tf [(Fedosov's deformation quantization leads to an exact computation of the trace via the semi-)] TJ ET
BT 85.169 545.969 Td /F1 12.0 Tf [(classical approximation. The homotopy of the rescaling plays the role of SUSY localization, giving )] TJ ET
BT 85.169 531.598 Td /F1 12.0 Tf [(rise to a simple proof of algebraic index theorem. )] TJ ET
BT 36.266 487.913 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.169 487.913 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby)] TJ ET
BT 36.266 464.657 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 85.169 464.657 Td /F2 12.0 Tf [(Fall Simons Lecture by Steve Zelditch of Northwestern University - SCGP 103)] TJ ET
BT 85.169 432.401 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 432.401 Td /F1 12.0 Tf [( Plank’s constant, time and stationary states in quantum mechanics Quantum mechanics )] TJ ET
BT 85.169 418.145 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 85.169 403.889 Td /F1 12.0 Tf [(replacing geometry \(classical mechanics\) by linear algebra \(eigenfunctions, eigenvalues and )] TJ ET
BT 85.169 389.633 Td /F1 12.0 Tf [(spectral theory\). But intuition asks for a geometric picture of the time evolution of quantum states )] TJ ET
BT 85.169 375.377 Td /F1 12.0 Tf [(and the topography of eigenfunctions. As Planck's constant h approaches 0, quantum mechanical )] TJ ET
BT 85.169 361.121 Td /F1 12.0 Tf [(objects have asymptotic relations to classical mechanical objects and provide the best picture )] TJ ET
BT 85.169 346.865 Td /F1 12.0 Tf [(possible. My talks will concentrate on topography of eigenfunctions of the Laplacian on )] TJ ET
BT 85.169 332.609 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 85.169 318.353 Td /F1 12.0 Tf [(Lp norms. One theme is to describe the \(M, g\) possessing extremal eigenfunctions. Another is the )] TJ ET
BT 85.169 304.097 Td /F1 12.0 Tf [(real and complex geometry of zero sets. The methods come from microlocal analysis and complex )] TJ ET
BT 85.169 289.726 Td /F1 12.0 Tf [(geometry. No prior knowledge of quantum mechanics or PDE is assumed. )] TJ ET
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BT 253.359 243.391 Td /F2 14.0 Tf [(Wednesday, October 1st)] TJ ET
BT 36.266 224.909 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 85.169 224.909 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 201.653 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.169 201.653 Td /F2 12.0 Tf [(Katarzyna Rejzner - SCGP 102)] TJ ET
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BT 85.169 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 732.214 Td /F1 12.0 Tf [(BV algebras in perturbative algebraic quantum field theory )] TJ ET
BT 85.169 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 703.529 Td /F1 12.0 Tf [(Perturbative algebraic quantum field theory \(pAQFT\) is a rigorous formulation of )] TJ ET
BT 85.169 689.273 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 85.169 675.017 Td /F1 12.0 Tf [(approach got significantly more attention, since it got successfully applied to study QFT on a very )] TJ ET
BT 85.169 660.761 Td /F1 12.0 Tf [(general class of Lorentzian manifolds. Recently, also gauge theories got incorporated into the )] TJ ET
BT 85.169 646.505 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 85.169 632.249 Td /F1 12.0 Tf [(results, I will show how the Gerstenhaber algebras and the BV algebras arise naturally in the )] TJ ET
BT 85.169 617.878 Td /F1 12.0 Tf [(pAQFT framework and how this structure can be utilized in quantization of gauge theories.)] TJ ET
BT 36.266 574.193 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.169 574.193 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 550.937 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.169 550.937 Td /F2 12.0 Tf [(Mikhail Movshev - SCGP 102)] TJ ET
BT 85.169 518.566 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 518.566 Td /F1 12.0 Tf [(On the Hilbert space of a \\beta\\gamma-system on pure spinors )] TJ ET
BT 85.169 489.881 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 489.881 Td /F1 12.0 Tf [(Berkovits string theory is well known for a heavy use of homological algebra. )] TJ ET
BT 85.169 475.625 Td /F1 12.0 Tf [(Construction of the Hilbert space in the theory is still an outstanding problem despite of serious )] TJ ET
BT 85.169 461.369 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 85.169 447.113 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 85.169 432.742 Td /F1 12.0 Tf [(has many nice properties conjectured by physicists.)] TJ ET
BT 36.266 389.057 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.169 389.057 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 365.801 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 85.169 365.801 Td /F2 12.0 Tf [(Maxim Zabzine - SCGP 102)] TJ ET
BT 85.169 333.430 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 333.430 Td /F1 12.0 Tf [(Localization for 5D Yang-Mills theory )] TJ ET
BT 85.169 304.630 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 304.630 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 260.945 Td /F1 12.0 Tf [(2:00pm)] TJ ET
BT 85.169 260.945 Td /F2 12.0 Tf [(Hold for Nikita's Student Seminars - SCGP-313)] TJ ET
BT 36.266 237.689 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 85.169 237.689 Td /F2 12.0 Tf [(Short Break)] TJ ET
BT 36.266 214.433 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 85.169 214.433 Td /F2 12.0 Tf [(Vasily Dolgushev - SCGP 102)] TJ ET
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BT 85.169 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 732.214 Td /F1 12.0 Tf [(L-infinity algebras and categories enriched "over L-infinity algebras". )] TJ ET
BT 85.169 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 703.529 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 85.169 689.273 Td /F1 12.0 Tf [(homotopy algebras form?". My presentation will be based on recent papers arXiv:1406.1744 and )] TJ ET
BT 85.169 675.017 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 85.169 660.761 Td /F1 12.0 Tf [(construction. I will define homotopy algebras, give several examples and formulate the homotopy )] TJ ET
BT 85.169 646.505 Td /F1 12.0 Tf [(transfer theorem. In the second lecture, I will introduce L-infinity algebras, the Deligne-Getzler-)] TJ ET
BT 85.169 632.249 Td /F1 12.0 Tf [(Hinich\(DGH\) infinity groupoid and talk about categories enriched "over L-infinity algebras". In the )] TJ ET
BT 85.169 617.993 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 85.169 603.737 Td /F1 12.0 Tf [("over L-infinity algebras". Finally, I will explain in what sense this enriched category stands behind )] TJ ET
BT 85.169 589.366 Td /F1 12.0 Tf [(the homotopy category of homotopy algebras of a fixed type.)] TJ ET
BT 36.266 509.416 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.169 509.416 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby)] TJ ET
BT 36.266 486.160 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 85.169 486.160 Td /F2 12.0 Tf [(Fall Simons Lecture by Steve Zelditch of Northwestern University - SCGP 102)] TJ ET
BT 85.169 453.904 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 453.904 Td /F1 12.0 Tf [( Plank’s constant, time and stationary states in quantum mechanics Quantum mechanics )] TJ ET
BT 85.169 439.648 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 85.169 425.392 Td /F1 12.0 Tf [(replacing geometry \(classical mechanics\) by linear algebra \(eigenfunctions, eigenvalues and )] TJ ET
BT 85.169 411.136 Td /F1 12.0 Tf [(spectral theory\). But intuition asks for a geometric picture of the time evolution of quantum states )] TJ ET
BT 85.169 396.880 Td /F1 12.0 Tf [(and the topography of eigenfunctions. As Planck's constant h approaches 0, quantum mechanical )] TJ ET
BT 85.169 382.624 Td /F1 12.0 Tf [(objects have asymptotic relations to classical mechanical objects and provide the best picture )] TJ ET
BT 85.169 368.368 Td /F1 12.0 Tf [(possible. My talks will concentrate on topography of eigenfunctions of the Laplacian on )] TJ ET
BT 85.169 354.112 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 85.169 339.856 Td /F1 12.0 Tf [(Lp norms. One theme is to describe the \(M, g\) possessing extremal eigenfunctions. Another is the )] TJ ET
BT 85.169 325.600 Td /F1 12.0 Tf [(real and complex geometry of zero sets. The methods come from microlocal analysis and complex )] TJ ET
BT 85.169 311.229 Td /F1 12.0 Tf [(geometry. No prior knowledge of quantum mechanics or PDE is assumed. )] TJ ET
BT 36.266 267.544 Td /F1 12.0 Tf [(5:00pm)] TJ ET
BT 85.169 267.544 Td /F2 12.0 Tf [(Tim Nguyen - SCGP 102)] TJ ET
BT 85.169 235.173 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 235.173 Td /F1 12.0 Tf [( A differential geometer explains BV quantization of the nonlinear sigma model)] TJ ET
BT 36.266 191.488 Td /F1 12.0 Tf [(6:00pm)] TJ ET
BT 85.169 191.488 Td /F2 12.0 Tf [(Workshop Banquet - SCGP Cafe)] TJ ET
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BT 256.068 165.581 Td /F2 14.0 Tf [(Thursday, October 2nd)] TJ ET
BT 36.266 147.100 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 85.169 147.100 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 123.844 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.169 123.844 Td /F2 12.0 Tf [(Vasily Dolgushev - SCGP 102)] TJ ET
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BT 85.169 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 732.214 Td /F1 12.0 Tf [(What do homotopy algebras form? )] TJ ET
BT 85.169 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 703.529 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 85.169 689.273 Td /F1 12.0 Tf [(homotopy algebras form?". My presentation will be based on recent papers arXiv:1406.1744 and )] TJ ET
BT 85.169 675.017 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 85.169 660.761 Td /F1 12.0 Tf [(construction. I will define homotopy algebras, give several examples and formulate the homotopy )] TJ ET
BT 85.169 646.505 Td /F1 12.0 Tf [(transfer theorem. In the second lecture, I will introduce L-infinity algebras, the Deligne-Getzler-)] TJ ET
BT 85.169 632.249 Td /F1 12.0 Tf [(Hinich\(DGH\) infinity groupoid and talk about categories enriched "over L-infinity algebras". In the )] TJ ET
BT 85.169 617.993 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 85.169 603.737 Td /F1 12.0 Tf [("over L-infinity algebras". Finally, I will explain in what sense this enriched category stands behind )] TJ ET
BT 85.169 589.366 Td /F1 12.0 Tf [(the homotopy category of homotopy algebras of a fixed type.)] TJ ET
BT 36.266 509.416 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.169 509.416 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 486.160 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.169 486.160 Td /F2 12.0 Tf [(Claudia Scheimbauer - SCGP 102)] TJ ET
BT 85.169 453.789 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 453.789 Td /F1 12.0 Tf [(Factorization homology as a fully extended TFT )] TJ ET
BT 85.169 425.104 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 425.104 Td /F1 12.0 Tf [(\(Homotopy\) algebras and \(pointed\) bimodules over them can be viewed as factorization )] TJ ET
BT 85.169 410.848 Td /F1 12.0 Tf [(algebras on the real line R which are locally constant with respect to a certain stratification. )] TJ ET
BT 85.169 396.592 Td /F1 12.0 Tf [(Moreover, Lurie proved that E_n-algebras are equivalent to locally constant factorization algebras )] TJ ET
BT 85.169 382.336 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 85.169 368.080 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 85.169 353.824 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 85.169 339.568 Td /F1 12.0 Tf [(Lurie. I will explain how this TFT can be explicitly constructed by \(essentially\) taking factorization )] TJ ET
BT 85.169 325.197 Td /F1 12.0 Tf [(homology with coefficients in the E_n-algebra A.)] TJ ET
BT 36.266 281.512 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 85.169 281.512 Td /F2 12.0 Tf [(AST-105 - SCGP 103)] TJ ET
BT 36.266 258.256 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.169 258.256 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 235.000 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 85.169 235.000 Td /F2 12.0 Tf [(Vasily Pestun - SCGP 102)] TJ ET
BT 85.169 202.629 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 202.629 Td /F1 12.0 Tf [(Supersymmetric localization and equivariant cohomology of quantum field theories )] TJ ET
BT 85.169 173.829 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 173.829 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 130.144 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 85.169 130.144 Td /F2 12.0 Tf [(Short Break)] TJ ET
BT 36.266 106.888 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 85.169 106.888 Td /F2 12.0 Tf [(Chris Elliott - SCGP 102)] TJ ET
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BT 85.169 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 732.214 Td /F1 12.0 Tf [(Nonperturbative Descriptions for Twists of Classical Field Theories )] TJ ET
BT 85.169 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 703.529 Td /F1 12.0 Tf [(The procedure of "twisting" allows one to produce classical or quantum field theories )] TJ ET
BT 85.169 689.273 Td /F1 12.0 Tf [(with desirable symmetry properties \(like translation or conformal invariance\) from the action of a )] TJ ET
BT 85.169 675.017 Td /F1 12.0 Tf [(certain supergroup. I'll explain how to define and compute these twists for classical theories both )] TJ ET
BT 85.169 660.761 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 85.169 646.505 Td /F1 12.0 Tf [(This procedure recovers moduli spaces of interest for geometric representation theory, related to )] TJ ET
BT 85.169 632.134 Td /F1 12.0 Tf [(moduli stacks of holomorphic or flat G-bundles, from N=4 supersymmetric gauge theory. )] TJ ET
BT 36.266 552.184 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.169 552.184 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby)] TJ ET
BT 36.266 528.928 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 85.169 528.928 Td /F2 12.0 Tf [(Fall Simons Lecture by Steve Zelditch of Northwestern University - SCGP 102)] TJ ET
BT 85.169 496.672 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 496.672 Td /F1 12.0 Tf [( Plank’s constant, time and stationary states in quantum mechanics Quantum mechanics )] TJ ET
BT 85.169 482.416 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 85.169 468.160 Td /F1 12.0 Tf [(replacing geometry \(classical mechanics\) by linear algebra \(eigenfunctions, eigenvalues and )] TJ ET
BT 85.169 453.904 Td /F1 12.0 Tf [(spectral theory\). But intuition asks for a geometric picture of the time evolution of quantum states )] TJ ET
BT 85.169 439.648 Td /F1 12.0 Tf [(and the topography of eigenfunctions. As Planck's constant h approaches 0, quantum mechanical )] TJ ET
BT 85.169 425.392 Td /F1 12.0 Tf [(objects have asymptotic relations to classical mechanical objects and provide the best picture )] TJ ET
BT 85.169 411.136 Td /F1 12.0 Tf [(possible. My talks will concentrate on topography of eigenfunctions of the Laplacian on )] TJ ET
BT 85.169 396.880 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 85.169 382.624 Td /F1 12.0 Tf [(Lp norms. One theme is to describe the \(M, g\) possessing extremal eigenfunctions. Another is the )] TJ ET
BT 85.169 368.368 Td /F1 12.0 Tf [(real and complex geometry of zero sets. The methods come from microlocal analysis and complex )] TJ ET
BT 85.169 353.997 Td /F1 12.0 Tf [(geometry. No prior knowledge of quantum mechanics or PDE is assumed. )] TJ ET
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BT 265.805 307.661 Td /F2 14.0 Tf [(Friday, October 3rd)] TJ ET
BT 36.266 289.180 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 85.169 289.180 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 265.924 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 85.169 265.924 Td /F2 12.0 Tf [(Qin Li - SCGP 102)] TJ ET
BT 85.169 233.553 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 233.553 Td /F1 12.0 Tf [(Perturbative Rozansky-Witten theory )] TJ ET
BT 85.169 204.753 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 204.753 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 161.068 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 85.169 161.068 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 137.812 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 85.169 137.812 Td /F2 12.0 Tf [(Theo Johnson-Freyd - SCGP 102)] TJ ET
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BT 85.169 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 732.214 Td /F1 12.0 Tf [(Poisson AKSZ theories )] TJ ET
BT 85.169 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 703.529 Td /F1 12.0 Tf [(I will describe a version of the AKSZ construction that applies to possibly-open source )] TJ ET
BT 85.169 689.273 Td /F1 12.0 Tf [(manifolds and to possibly-infinite-dimensional Poisson \(as opposed to symplectic\) target manifolds )] TJ ET
BT 85.169 675.017 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 85.169 660.761 Td /F1 12.0 Tf [(the relationship between dioperads and properads, and to the fact \(due to Merkulov and Vallette\) )] TJ ET
BT 85.169 646.505 Td /F1 12.0 Tf [(that formality in one world does not imply formality in the other. In particular, universal )] TJ ET
BT 85.169 632.249 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 85.169 617.878 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 36.266 537.928 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 85.169 537.928 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 514.672 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 85.169 514.672 Td /F2 12.0 Tf [(Pavel Mnev - SCGP 102)] TJ ET
BT 85.169 482.416 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 482.416 Td /F1 12.0 Tf [(An example of a cellular topological quantum field theory in BV-BFV formalism, with )] TJ ET
BT 85.169 468.045 Td /F1 12.0 Tf [(Segal-like gluing. )] TJ ET
BT 85.169 439.245 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 439.245 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 395.560 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 85.169 395.560 Td /F2 12.0 Tf [(Short Break)] TJ ET
BT 36.266 372.304 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 85.169 372.304 Td /F2 12.0 Tf [(Bruno Vallette - SCGP 102)] TJ ET
BT 85.169 339.933 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 116.165 339.933 Td /F1 12.0 Tf [(Givental action and trivialization of circle action )] TJ ET
BT 85.169 311.248 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 136.817 311.248 Td /F1 12.0 Tf [(In this talk, I will show that the Givental group action on genus zero cohomological field )] TJ ET
BT 85.169 296.992 Td /F1 12.0 Tf [(theories, also known as formal Frobenius manifolds or hypercommutative algebras, naturally arises )] TJ ET
BT 85.169 282.736 Td /F1 12.0 Tf [(in the deformation theory of Batalin--Vilkovisky algebras. This implies that the Givental action is )] TJ ET
BT 85.169 268.480 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 85.169 254.224 Td /F1 12.0 Tf [(of two Lie algebra actions coming from two apparently remote domains: geometry and )] TJ ET
BT 85.169 239.853 Td /F1 12.0 Tf [(homotopical algebra. \(Joint work with Sergei Shadrin and Vladimir Dotsenko\))] TJ ET
BT 36.266 196.168 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 85.169 196.168 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby)] TJ ET
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