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BT 222.613 716.845 Td /F2 24.0 Tf [(Workshop Schedule)] TJ ET
BT 282.892 677.782 Td /F2 18.0 Tf [(Events for:)] TJ ET
BT 129.649 656.355 Td /F2 18.0 Tf [(Monday, September 26th - Friday, September 30th)] TJ ET
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BT 249.998 620.083 Td /F2 14.0 Tf [(Monday, September 26th)] TJ ET
BT 36.266 602.206 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 83.936 601.601 Td /F2 12.0 Tf [(Gurbir Dhillon - SCGP 102)] TJ ET
BT 83.936 572.230 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 572.230 Td /F1 12.0 Tf [(Gurbir Dhillon )] TJ ET
BT 83.936 543.430 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 543.430 Td /F1 12.0 Tf [(On the log Kazhdan--Lusztig correspondence )] TJ ET
BT 83.936 514.745 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 514.745 Td /F1 12.0 Tf [(An influential conjecture of Feigin--Gainutdinov--Semikhatov--Tipunin from the mid )] TJ ET
BT 83.936 500.489 Td /F1 12.0 Tf [(2000s relates representations of small quantum groups and triplet vertex algebras at positive integer )] TJ ET
BT 83.936 486.233 Td /F1 12.0 Tf [(values of the Kac--Moody level. We will formulate an extension of the conjecture to all rational )] TJ ET
BT 83.936 471.977 Td /F1 12.0 Tf [(Kac--Moody levels and will describe a way to prove it conditional on some \(in-reach\) conjectures )] TJ ET
BT 83.936 457.606 Td /F1 12.0 Tf [(in the quantum geometric Langlands program. )] TJ ET
BT 36.266 414.526 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 83.936 413.921 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 394.270 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 83.936 393.665 Td /F2 12.0 Tf [(Nadav Drukker - SCGP 102)] TJ ET
BT 83.936 364.294 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 364.294 Td /F1 12.0 Tf [(Nadav Drukker )] TJ ET
BT 83.936 335.494 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 335.494 Td /F1 12.0 Tf [(Global symmetry breaking and defect conformal manifolds )] TJ ET
BT 83.936 306.809 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 306.809 Td /F1 12.0 Tf [(In the presence of exactly marginal operators, one can deform a conformal field theory )] TJ ET
BT 83.936 292.553 Td /F1 12.0 Tf [(to other such theories, forming a space of theories living on what's known as the conformal )] TJ ET
BT 83.936 278.297 Td /F1 12.0 Tf [(manifold. In a theory with conformal defects, one may be able to retain the bulk theory but )] TJ ET
BT 83.936 264.041 Td /F1 12.0 Tf [(transform the defect along what I'll call the "defect conformal manifold". This requires the )] TJ ET
BT 83.936 249.785 Td /F1 12.0 Tf [(existence of exactly marginal defect operators. A simple setting where this happens is in the )] TJ ET
BT 83.936 235.529 Td /F1 12.0 Tf [(presence of a global symmetry broken by the defect. The broken symmetry current gives rise to an )] TJ ET
BT 83.936 221.273 Td /F1 12.0 Tf [(exactly marginal defect operator and a defect conformal manifold which is the symmetry breaking )] TJ ET
BT 83.936 207.017 Td /F1 12.0 Tf [(coset. This simple observation lets us derive an exact identity for integrated 4-point functions of the )] TJ ET
BT 83.936 192.761 Td /F1 12.0 Tf [(marginal defect operator which is highly nontrivial. We implement this in several models where the )] TJ ET
BT 83.936 178.390 Td /F1 12.0 Tf [(4-point functions have been previously calculated. )] TJ ET
BT 36.266 135.310 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 83.936 134.705 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 115.054 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 83.936 114.449 Td /F2 12.0 Tf [(Mikhail Khovanov - SCGP 102)] TJ ET
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BT 83.936 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 732.214 Td /F1 12.0 Tf [(Mikhail Khovanov )] TJ ET
BT 83.936 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 703.414 Td /F1 12.0 Tf [(Foam evaluation and its uses in categorification and representation theory )] TJ ET
BT 83.936 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 674.729 Td /F1 12.0 Tf [(I'll explain the foam evaluation formula due to Louis-Hadrien Robert and Emmanuel )] TJ ET
BT 83.936 660.473 Td /F1 12.0 Tf [(Wagner and show how it's used to construct state spaces of planar graphs. These state spaces )] TJ ET
BT 83.936 646.217 Td /F1 12.0 Tf [(categorify networks of intertwiners between exterior powers of representations of quantum sl\(N\) )] TJ ET
BT 83.936 631.961 Td /F1 12.0 Tf [(and used to build link homology theories. The limiting case of this theory can be used to recover )] TJ ET
BT 83.936 617.590 Td /F1 12.0 Tf [(the category of Soergel bimodules, via disk-like foams in 3-space. )] TJ ET
BT 36.266 574.510 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 83.936 573.905 Td /F2 12.0 Tf [(Nikita Nekrasov - SCGP 102)] TJ ET
BT 83.936 544.534 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 544.534 Td /F1 12.0 Tf [(Nikita Nekrasov )] TJ ET
BT 83.936 515.734 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 515.734 Td /F1 12.0 Tf [(One flew over the QQ-nest )] TJ ET
BT 83.936 487.049 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 487.049 Td /F1 12.0 Tf [(I will discuss the recent progress in Omega-deformed N=2 d=4 supersymmetric quiver )] TJ ET
BT 83.936 472.793 Td /F1 12.0 Tf [(theories of A-type with A-type gauge group, in the presence of various arrangements of surface )] TJ ET
BT 83.936 458.537 Td /F1 12.0 Tf [(defects. According to the BPS/CFT dictionary their expectation values are given by the conformal )] TJ ET
BT 83.936 444.281 Td /F1 12.0 Tf [(blocks of some \(analytically continued\) CFT, and, at the same time, by the matrix elements of )] TJ ET
BT 83.936 430.025 Td /F1 12.0 Tf [(quantum XXX spin chains. Using the qq-characters I derive \(as opposed to postulate\) the Q{\\tilde )] TJ ET
BT 83.936 415.769 Td /F1 12.0 Tf [(Q}-system and the Lax operators, filling some gaps in the 30 year cycle of ideas connecting )] TJ ET
BT 83.936 401.513 Td /F1 12.0 Tf [(supersymmetry and integrability. Based on the ongoing works in progress with S.Jeong and N.Lee, )] TJ ET
BT 83.936 387.142 Td /F1 12.0 Tf [(with A.Grekov, and with I.Krichever. )] TJ ET
BT 36.266 344.062 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 83.936 343.457 Td /F2 12.0 Tf [(Tea - SCGP Cafe)] TJ ET
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BT 249.606 320.551 Td /F2 14.0 Tf [(Tuesday, September 27th)] TJ ET
BT 36.266 302.674 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 83.936 302.069 Td /F2 12.0 Tf [(Elli Pomoni - SCGP 102)] TJ ET
BT 83.936 272.698 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 272.698 Td /F1 12.0 Tf [(Elli Pomoni )] TJ ET
BT 83.936 243.898 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 243.898 Td /F1 12.0 Tf [(Spin chains for 4D N=2 SCFTs )] TJ ET
BT 83.936 215.213 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 215.213 Td /F1 12.0 Tf [(We will give an overview of the recent developments in the spin chains encoding the )] TJ ET
BT 83.936 200.842 Td /F1 12.0 Tf [(spectral problem of four-dimensional N=2 superconformal gauge theories. )] TJ ET
BT 36.266 157.762 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 83.936 157.157 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 137.506 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 83.936 136.901 Td /F2 12.0 Tf [(Azat Gainutdinov - SCGP 102)] TJ ET
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BT 83.936 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 732.214 Td /F1 12.0 Tf [(Azat Gainutdinov )] TJ ET
BT 83.936 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 703.414 Td /F1 12.0 Tf [(New U_q sl\(2\)-invariant boundary conditions for the XXZ spin chain )] TJ ET
BT 83.936 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 674.729 Td /F1 12.0 Tf [(I am going to talk about new XXZ integrable models based on products with Verma )] TJ ET
BT 83.936 660.473 Td /F1 12.0 Tf [(modules for U_q sl\(2\) and the corresponding Schur-Weyl duality. The relevant K-matrices are )] TJ ET
BT 83.936 646.217 Td /F1 12.0 Tf [(constructed via U_q sl\(2\)-intertwining operators and one can use the standard Bethe ansatz )] TJ ET
BT 83.936 631.961 Td /F1 12.0 Tf [(techniques to solve the model. On the algebraic side, the centraliser of U_q sl\(2\) is given by )] TJ ET
BT 83.936 617.705 Td /F1 12.0 Tf [(representations of the universal two-boundary Temperley-Lieb algebra. Using representation )] TJ ET
BT 83.936 603.449 Td /F1 12.0 Tf [(theoretic results we relate these spin-chains to the non-diagonal XXZ models where the standard )] TJ ET
BT 83.936 589.078 Td /F1 12.0 Tf [(Bethe ansatz can not be applied. This is a joint work with D. Chernyak and H. Saleur. )] TJ ET
BT 36.266 545.998 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 83.936 545.393 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 525.742 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 83.936 525.137 Td /F2 12.0 Tf [(Evgeny Mukhin - SCGP 102)] TJ ET
BT 83.936 495.766 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 495.766 Td /F1 12.0 Tf [(Evgeny Mukhin )] TJ ET
BT 83.936 466.966 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 466.966 Td /F1 12.0 Tf [(Integrable systems related to quantum toroidal algebras. )] TJ ET
BT 83.936 438.281 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 438.281 Td /F1 12.0 Tf [(We give an introduction to the quantum toroidal algebras and their representation theory. )] TJ ET
BT 83.936 424.025 Td /F1 12.0 Tf [(Then we study a family of remarkable commutative subalgebras given explicitly by multiple )] TJ ET
BT 83.936 409.769 Td /F1 12.0 Tf [(integrals with elliptic kernels. We discuss the spectrum of these subalgebras in various modules and )] TJ ET
BT 83.936 395.513 Td /F1 12.0 Tf [(relations to more familiar integrable systems.Our main examples are quantum toroidal algebras )] TJ ET
BT 83.936 381.257 Td /F1 12.0 Tf [(associated to ${\\mathfrak gl}\(n\)$ and quantum comodule algebras ${\\mathcal K}_n$ with )] TJ ET
BT 83.936 366.886 Td /F1 12.0 Tf [(emphasis on the case of $n=1$. )] TJ ET
BT 36.266 323.806 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 83.936 323.201 Td /F2 12.0 Tf [(Yan Soibelman - Zoom)] TJ ET
BT 83.936 293.830 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 293.830 Td /F1 12.0 Tf [(Yan Soibelman )] TJ ET
BT 83.936 265.030 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 265.030 Td /F1 12.0 Tf [(Exponential integrals, wall-crossing structures and Chern-Simons theory. )] TJ ET
BT 83.936 236.345 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 236.345 Td /F1 12.0 Tf [(I am going to discuss exponential integrals in finite and infinite dimensions from the )] TJ ET
BT 83.936 222.089 Td /F1 12.0 Tf [(point of view of Holomorphic Floer Theory. The underlying algebraic structure known as wall-)] TJ ET
BT 83.936 207.833 Td /F1 12.0 Tf [(crossing structure controls analytic/resurgent properties of the arising perturbative expansions. If )] TJ ET
BT 83.936 193.577 Td /F1 12.0 Tf [(time permits I am going to illustrate some of these ideas in the example of Chern-Simons theory. )] TJ ET
BT 83.936 179.206 Td /F1 12.0 Tf [(This is a joint project with Maxim Kontsevich. )] TJ ET
BT 36.266 136.126 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 83.936 135.521 Td /F2 12.0 Tf [(Tea - Math 4-125)] TJ ET
BT 36.266 115.870 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 83.936 115.265 Td /F2 12.0 Tf [(Nathan Haouzi - SCGP 102)] TJ ET
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BT 83.936 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 732.214 Td /F1 12.0 Tf [(Nathan Haouzi )] TJ ET
BT 83.936 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 703.414 Td /F1 12.0 Tf [(Developing the quantum q-Langlands program )] TJ ET
BT 83.936 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 674.729 Td /F1 12.0 Tf [(In its simplest incarnation, the geometric Langlands program was defined by Beilinson )] TJ ET
BT 83.936 660.473 Td /F1 12.0 Tf [(and Drinfeld in the 90’s as relating, on one side, a flat connection on a Riemann surface, and on the )] TJ ET
BT 83.936 646.217 Td /F1 12.0 Tf [(other side, a more sophisticated structure known as a D-module. Since its inception, this )] TJ ET
BT 83.936 631.961 Td /F1 12.0 Tf [(conjectured correspondence has been a highly active and fruitful topic of research both for )] TJ ET
BT 83.936 617.705 Td /F1 12.0 Tf [(mathematicians and theoretical physicists. In this talk, we will review a generalization of the )] TJ ET
BT 83.936 603.449 Td /F1 12.0 Tf [(correspondence known as the quantum q-Langlands program, due to Aganagic-Frenkel-Okounkov, )] TJ ET
BT 83.936 589.193 Td /F1 12.0 Tf [(which establishes an isomorphism between q-deformed versions of conformal blocks, for a W-)] TJ ET
BT 83.936 574.937 Td /F1 12.0 Tf [(algebra on one side, and a Langlands dual affine Lie algebra on the other side. Next, we will )] TJ ET
BT 83.936 560.681 Td /F1 12.0 Tf [(elucidate the meaning of ramification in this program, or adding punctures with data on the )] TJ ET
BT 83.936 546.425 Td /F1 12.0 Tf [(Riemann surface. We will present various applications: the construction of the primary vertex )] TJ ET
BT 83.936 532.169 Td /F1 12.0 Tf [(operators of deformed W-algebras, and the physics of handsaw quiver gauge theories in three )] TJ ET
BT 83.936 517.913 Td /F1 12.0 Tf [(dimensions with N=2 supersymmetry. Finally, we will comment on the conformal limit; for )] TJ ET
BT 83.936 503.657 Td /F1 12.0 Tf [(instance, when the Lie algebra is specialized to be sl\(2\), one obtains a new \(dual\) perspective on )] TJ ET
BT 83.936 489.286 Td /F1 12.0 Tf [(recent results of Nekrasov and Tsymbaliuk. )] TJ ET
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BT 240.275 442.951 Td /F2 14.0 Tf [(Wednesday, September 28th)] TJ ET
BT 36.266 425.074 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 83.936 424.469 Td /F2 12.0 Tf [(Alexander Braverman - SCGP 102)] TJ ET
BT 83.936 395.098 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 395.098 Td /F1 12.0 Tf [(Alexander Braverman )] TJ ET
BT 83.936 366.298 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 366.298 Td /F1 12.0 Tf [(S-duality for boundary conditions coming from Lie super-algebras. )] TJ ET
BT 83.936 337.613 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 337.613 Td /F1 12.0 Tf [(In the physics language we explain \(mostly conjectural\) statements providing explicit )] TJ ET
BT 83.936 323.357 Td /F1 12.0 Tf [(description of S-duals of certain super-symmetric boundary conditions in 4d gauge theory, which )] TJ ET
BT 83.936 309.101 Td /F1 12.0 Tf [(are associated to simple \(or almost simple\) Lie super-algebras with an invariant bilinear form \(such )] TJ ET
BT 83.936 294.845 Td /F1 12.0 Tf [(as for example gl\(M|N\)\). Mathematically this leads to a geometric realizations of categories of )] TJ ET
BT 83.936 280.589 Td /F1 12.0 Tf [(representations of the corresponding quantum super-groups. Based on joint works with Finkelberg, )] TJ ET
BT 83.936 266.218 Td /F1 12.0 Tf [(Ginzurg and Travkin and conjectures of D.Gaiotto. )] TJ ET
BT 36.266 223.138 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 83.936 222.533 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 202.882 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 83.936 202.277 Td /F2 12.0 Tf [(Gus Schrader - Zoom)] TJ ET
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BT 83.936 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 732.214 Td /F1 12.0 Tf [(Gus Schrader )] TJ ET
BT 83.936 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 703.414 Td /F1 12.0 Tf [(The chromatic Lagrangian and its quantization )] TJ ET
BT 83.936 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 674.729 Td /F1 12.0 Tf [(The chromatic Lagrangian is a Lagrangian subvariety inside a symplectic leaf of the )] TJ ET
BT 83.936 660.473 Td /F1 12.0 Tf [(cluster Poisson moduli space of Borel-decorated $PGL\(2\)$ local systems on a punctured surface. I )] TJ ET
BT 83.936 646.217 Td /F1 12.0 Tf [(will describe the cluster quantization of the chromatic Lagrangian, and explain how it canonically )] TJ ET
BT 83.936 631.961 Td /F1 12.0 Tf [(determines wavefunctions associated to a certain class of Lagrangian 3-manifolds $L$ in Kahler )] TJ ET
BT 83.936 617.705 Td /F1 12.0 Tf [($\\mathbb{C}^3$, equipped with some additional framing data. These wavefunctions are formal )] TJ ET
BT 83.936 603.449 Td /F1 12.0 Tf [(power series, which we conjecture encode the all-genus open Gromov-Witten invariants of $L$. )] TJ ET
BT 83.936 589.078 Td /F1 12.0 Tf [(Based on joint work with Linhui Shen and Eric Zaslow. )] TJ ET
BT 36.266 545.998 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 83.936 545.393 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 525.742 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 83.936 525.137 Td /F2 12.0 Tf [(Mykola Dedushenko - SCGP 102)] TJ ET
BT 83.936 495.766 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 495.766 Td /F1 12.0 Tf [(Mykola Dedushenko )] TJ ET
BT 83.936 466.966 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 466.966 Td /F1 12.0 Tf [(Gauge-theoretic realization of a geometric approach to quantum integrability )] TJ ET
BT 83.936 438.281 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 438.281 Td /F1 12.0 Tf [(I will discuss recent progress in understanding the physics setting, in which one recovers )] TJ ET
BT 83.936 424.025 Td /F1 12.0 Tf [(the geometric constructions of stable envelopes and chamber R-matrices that constitute a geometric )] TJ ET
BT 83.936 409.654 Td /F1 12.0 Tf [(approach to quantum integrability. Based on past and future works with N. Nekrasov. )] TJ ET
BT 36.266 366.574 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 83.936 365.969 Td /F2 12.0 Tf [(Ivan Cherednik - Zoom)] TJ ET
BT 83.936 336.598 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 336.598 Td /F1 12.0 Tf [(Ivan Cherednik )] TJ ET
BT 83.936 307.798 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 307.798 Td /F1 12.0 Tf [(Motivic superpolynomials and LGSM for singularities )] TJ ET
BT 83.936 279.113 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 279.113 Td /F1 12.0 Tf [(We will begin with LGSM with superpotentials W\(x,y\) associated with plane curve )] TJ ET
BT 83.936 264.857 Td /F1 12.0 Tf [(singularities. The new vintage is when their compactified Jacobians and Bun \(torsion free sheaves\) )] TJ ET
BT 83.936 250.601 Td /F1 12.0 Tf [(are considered. The corresponding motivic superpolynomials will be defined, presumably )] TJ ET
BT 83.936 236.345 Td /F1 12.0 Tf [(coinciding with colored Khovanov-Rozansky polynomials for algebraic links and DAHA )] TJ ET
BT 83.936 222.089 Td /F1 12.0 Tf [(superpolynomials. The latter are connected with QKZ, Kac-Moody algebras etc. So they are linked )] TJ ET
BT 83.936 207.833 Td /F1 12.0 Tf [(to SCFT: superpotentials are not needed for them. The functional equation for motivic )] TJ ET
BT 83.936 193.577 Td /F1 12.0 Tf [(superpolynomials and the corresponding Riemann Hypothesis will be discussed at the end. If time )] TJ ET
BT 83.936 179.321 Td /F1 12.0 Tf [(permits, I will state the Lee-Yang circle theorem \(Ising models\), which clarifies what RH of this )] TJ ET
BT 83.936 164.950 Td /F1 12.0 Tf [(kind can be physically. )] TJ ET
BT 36.266 121.870 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 83.936 121.265 Td /F2 12.0 Tf [(Tea - Math 4-125)] TJ ET
BT 36.266 101.614 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 83.936 101.009 Td /F2 12.0 Tf [(Daniel Sage - SCGP 102)] TJ ET
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BT 83.936 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 732.214 Td /F1 12.0 Tf [(Daniel Sage )] TJ ET
BT 83.936 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 703.414 Td /F1 12.0 Tf [(Meromorphic connections on the projective line with specified local behavior )] TJ ET
BT 83.936 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 674.729 Td /F1 12.0 Tf [(A fundamental problem in the theory of meromorphic connections on P^1 is to )] TJ ET
BT 83.936 660.473 Td /F1 12.0 Tf [(understand the space of such systems with given local behavior. Here, the local behavior of a )] TJ ET
BT 83.936 646.217 Td /F1 12.0 Tf [(connection at a singular point means the "formal type" there--the isomorphism class of the induced )] TJ ET
BT 83.936 631.961 Td /F1 12.0 Tf [(formal connection. Given a collection of singular points and corresponding formal types, there are )] TJ ET
BT 83.936 617.705 Td /F1 12.0 Tf [(several natural questions one might ask: 1\) Does there exist a connection with these formal types? )] TJ ET
BT 83.936 603.449 Td /F1 12.0 Tf [(2\) If such a connection exists, is it unique up to isomorphism? 3\) Can one construct an explicit )] TJ ET
BT 83.936 589.193 Td /F1 12.0 Tf [(moduli space of such connections? Classically, these questions were studied under the assumption )] TJ ET
BT 83.936 574.937 Td /F1 12.0 Tf [(that all singularities are regular singular \(i.e. simple poles\). For example, in 2003, Crawley-Boevey )] TJ ET
BT 83.936 560.681 Td /F1 12.0 Tf [(solved the Deligne-Simpson problem for Fuchsian connections \(a variant of question 1\) by )] TJ ET
BT 83.936 546.425 Td /F1 12.0 Tf [(reinterpreting the problem in terms of quiver varieties. Later, mathematicians including Boalch, )] TJ ET
BT 83.936 532.169 Td /F1 12.0 Tf [(Hiroe, and Yamakawa investigated these questions when "unramified" irregular singularities are )] TJ ET
BT 83.936 517.913 Td /F1 12.0 Tf [(allowed. \(Unramified means that the formal types can be expressed in upper triangular form )] TJ ET
BT 83.936 503.657 Td /F1 12.0 Tf [(without introducing roots of the local parameter.\) In recent years, there has been increasing interest )] TJ ET
BT 83.936 489.401 Td /F1 12.0 Tf [(in meromorphic connections \(and G-connections where G is a reductive group\) with ramified )] TJ ET
BT 83.936 475.145 Td /F1 12.0 Tf [(singularities due to developments in the geometric Langlands program. In this talk, I will give an )] TJ ET
BT 83.936 460.889 Td /F1 12.0 Tf [(overview of recent progress on the ramified version of these problems due to myself and various )] TJ ET
BT 83.936 446.518 Td /F1 12.0 Tf [(collaborators. )] TJ ET
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BT 245.714 400.183 Td /F2 14.0 Tf [(Thursday, September 29th)] TJ ET
BT 36.266 382.306 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 83.936 381.701 Td /F2 12.0 Tf [(Oleksandr Tsymbaliuk - Zoom)] TJ ET
BT 83.936 352.330 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 352.330 Td /F1 12.0 Tf [(Oleksandr Tsymbaliuk )] TJ ET
BT 83.936 323.530 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 323.530 Td /F1 12.0 Tf [(BGG-type relations for transfer matrices of rational spin chains and the shifted Yangians )] TJ ET
BT 83.936 294.845 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 294.845 Td /F1 12.0 Tf [(In this talk, I will discuss: \(1\) the new BGG-type resolutions of finite dimensional )] TJ ET
BT 83.936 280.589 Td /F1 12.0 Tf [(representations of simple Lie algebras that lead to BGG-relations expressing finite-dimensional )] TJ ET
BT 83.936 266.333 Td /F1 12.0 Tf [(transfer matrices via infinite-dimensional ones, \(2\) the factorization of infinite-dimensional ones )] TJ ET
BT 83.936 252.077 Td /F1 12.0 Tf [(into the product of two Q-operators, \(3\) the construction of a large family of rational Lax matrices )] TJ ET
BT 83.936 237.821 Td /F1 12.0 Tf [(from antidominantly shifted Yangians. This talk is based on the joint works with R.Frassek, I. )] TJ ET
BT 83.936 223.450 Td /F1 12.0 Tf [(Karpov, and V.Pestun. )] TJ ET
BT 36.266 180.370 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 83.936 179.765 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 160.114 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 83.936 159.509 Td /F2 12.0 Tf [(Leonid Rybnikov - SCGP 102)] TJ ET
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BT 83.936 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 732.214 Td /F1 12.0 Tf [(Leonid Rybnikov )] TJ ET
BT 83.936 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 703.414 Td /F1 12.0 Tf [(Bethe subalgebras and Kirillov-Reshetikhin crystals )] TJ ET
BT 83.936 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 674.729 Td /F1 12.0 Tf [(Bethe subalgebras form a family of maximal commutative subalgebras of the Yangian of )] TJ ET
BT 83.936 660.473 Td /F1 12.0 Tf [(a simple Lie algebra, parametrized by regular elements of the corresponding adjoint Lie group. We )] TJ ET
BT 83.936 646.217 Td /F1 12.0 Tf [(introduce an affine \(Kirillov-Reshetikhin\) crystal structure on the set of eigenlines for a Bethe )] TJ ET
BT 83.936 631.961 Td /F1 12.0 Tf [(subalgebra in a representation of the Yangian \(under certain conditions on the representation, )] TJ ET
BT 83.936 617.705 Td /F1 12.0 Tf [(satisfied by all tensor products of fundamental representations in types A and C\). This helps to )] TJ ET
BT 83.936 603.449 Td /F1 12.0 Tf [(describe the monodromy of solutions of Bethe ansatz for the corresponding XXX Heisenberg )] TJ ET
BT 83.936 589.078 Td /F1 12.0 Tf [(magnet chain. This is a joint project with Inna Mashanova-Golikova and Vasily Krylov. )] TJ ET
BT 36.266 545.998 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 83.936 545.393 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 525.742 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 83.936 525.137 Td /F2 12.0 Tf [(Vasily Krylov - SCGP 102)] TJ ET
BT 83.936 495.766 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 495.766 Td /F1 12.0 Tf [(Vasily Krylov)] TJ ET
BT 83.936 452.566 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 452.566 Td /F1 12.0 Tf [(Equivariant Hikita-Nakajima conjecture for ADHM spaces)] TJ ET
BT 83.936 409.481 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 409.481 Td /F1 12.0 Tf [(Equivariant Hikita-Nakajima conjecture is a general conjecture about the relation )] TJ ET
BT 83.936 395.225 Td /F1 12.0 Tf [(between the geometry of symplectically dual varieties. We will consider the example of the Hilbert )] TJ ET
BT 83.936 380.969 Td /F1 12.0 Tf [(scheme of points on the affine plane and discuss the proof of the conjecture in this particular case. )] TJ ET
BT 83.936 366.713 Td /F1 12.0 Tf [(We will also discuss the generalization of this proof to the case of ADHM spaces \(moduli spaces of )] TJ ET
BT 83.936 352.457 Td /F1 12.0 Tf [(certain instantons on R^4\). Time permitting, we will talk about the possible approach towards the )] TJ ET
BT 83.936 338.201 Td /F1 12.0 Tf [(proof of Hikita-Nakajima conjecture for other symplectically dual pairs \(such as Higgs and )] TJ ET
BT 83.936 323.945 Td /F1 12.0 Tf [(Coulomb branches of quiver gauge theories\). The talk is based on the joint work with Pavel )] TJ ET
BT 83.936 309.574 Td /F1 12.0 Tf [(Shlykov arXiv:2202.09934. )] TJ ET
BT 36.266 252.094 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 83.936 251.489 Td /F2 12.0 Tf [(Andrey Smirnov - SCGP 102)] TJ ET
BT 83.936 222.118 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 222.118 Td /F1 12.0 Tf [(Andrey Smirnov)] TJ ET
BT 83.936 178.918 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 178.918 Td /F1 12.0 Tf [(Stable envelopes and local systems)] TJ ET
BT 83.936 135.718 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 135.718 Td /F1 12.0 Tf [( discuss a new type of combinatorial formulas for K-theoretic stable envelopes arising)] TJ ET
BT 83.936 121.318 Td /F1 12.0 Tf [(from local systems on a cylinder. I also discuss a possible connection with Fukaya categories,)] TJ ET
BT 83.936 106.918 Td /F1 12.0 Tf [(leading to the categorification of stable envelopes. The talk is based on the joint work in progress)] TJ ET
BT 83.936 92.518 Td /F1 12.0 Tf [(with Ivan Danilenko.)] TJ ET
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BT 36.266 744.934 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 83.936 744.329 Td /F2 12.0 Tf [(Tea - SCGP Common Room 515)] TJ ET
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BT 254.667 721.423 Td /F2 14.0 Tf [(Friday, September 30th)] TJ ET
BT 36.266 703.546 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 83.936 702.941 Td /F2 12.0 Tf [(Michael Shapiro - SCGP 102)] TJ ET
BT 83.936 673.570 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 673.570 Td /F1 12.0 Tf [(Michael Shapiro )] TJ ET
BT 83.936 644.770 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 644.770 Td /F1 12.0 Tf [(Symplectic grouped and log-canonical parameters for closed genus 2 surfaces. )] TJ ET
BT 83.936 616.085 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 616.085 Td /F1 12.0 Tf [(We consider the problem of finding the object of symplectic groupoid for a fixed )] TJ ET
BT 83.936 601.829 Td /F1 12.0 Tf [(groupoid morphism. The problem is completely solved in terms of Fock-Goncharov )] TJ ET
BT 83.936 587.573 Td /F1 12.0 Tf [(parametrization of the morphism. This construction leads to discovery of log-canonical parameters )] TJ ET
BT 83.936 573.317 Td /F1 12.0 Tf [(for Goldman Poisson bracket on the algebra of geodesic functions on Teichmueller space of closed )] TJ ET
BT 83.936 558.946 Td /F1 12.0 Tf [(genus 2 surfaces. This is a joint work with L.Chekhov. )] TJ ET
BT 36.266 515.866 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 83.936 515.261 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 495.610 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 83.936 495.005 Td /F2 12.0 Tf [(Aleksei Ilin - Zoom)] TJ ET
BT 83.936 465.634 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 465.634 Td /F1 12.0 Tf [(Aleksei Ilin )] TJ ET
BT 83.936 436.834 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 436.834 Td /F1 12.0 Tf [(Simplicity of spectra for Bethe subalgebras )] TJ ET
BT 83.936 408.149 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 408.149 Td /F1 12.0 Tf [(In this talk we will discuss the problem of simplicity of spectra of \(inhomogenuous, )] TJ ET
BT 83.936 393.893 Td /F1 12.0 Tf [(trigonometric and XXX\) Bethe subalgebras in finite-dimensional representations. We will see how )] TJ ET
BT 83.936 379.637 Td /F1 12.0 Tf [(one can use limit Bethe subalgebras and their parameter space in order to get some results in this )] TJ ET
BT 83.936 365.266 Td /F1 12.0 Tf [(direction. )] TJ ET
BT 36.266 322.186 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 83.936 321.581 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 301.930 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 83.936 301.325 Td /F2 12.0 Tf [(Valerio Toledano Laredo - Zoom)] TJ ET
BT 83.936 271.954 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 271.954 Td /F1 12.0 Tf [(Valerio Toledano Laredo)] TJ ET
BT 83.936 228.754 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 228.754 Td /F1 12.0 Tf [(Stokes phenomena, Poisson-Lie groups and quantum groups)] TJ ET
BT 83.936 185.669 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 185.669 Td /F1 12.0 Tf [(Let G be a complex reductive group, G* its dual Poisson-Lie group, and g the Lie )] TJ ET
BT 83.936 171.413 Td /F1 12.0 Tf [(algebra of G. G-valued Stokes phenomena were exploited by P. Boalch to linearise the Poisson )] TJ ET
BT 83.936 157.157 Td /F1 12.0 Tf [(structure on G*. I will explain how Ug-valued Stokes phenomena can be used to give a purely )] TJ ET
BT 83.936 142.901 Td /F1 12.0 Tf [(transcendental construction of the quantum group Uhg, in a way related to, but different from )] TJ ET
BT 83.936 128.645 Td /F1 12.0 Tf [(Kazhdan and Lusztig’s. I will also show that the semiclassical limit of this construction recovers )] TJ ET
BT 83.936 114.389 Td /F1 12.0 Tf [(Boalch’s. The latter result is joint work with Xiaomeng Xu, and based on )] TJ ET
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BT 83.936 100.018 Td /F1 12.0 Tf [(https://arxiv.org/abs/2202.10298)] TJ ET
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BT 36.266 42.538 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 83.936 41.933 Td /F2 12.0 Tf [(Dymtro Volin - SCGP 102)] TJ ET
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BT 83.936 732.214 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 732.214 Td /F1 12.0 Tf [(Dymtro Volin )] TJ ET
BT 83.936 703.414 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 703.414 Td /F1 12.0 Tf [(Fused geometry of Bethe Algebra )] TJ ET
BT 83.936 674.729 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 674.729 Td /F1 12.0 Tf [(Maximal commutative algebra of conserved charges \(Bethe Algebra\) admits the action )] TJ ET
BT 83.936 660.473 Td /F1 12.0 Tf [(of a group G related by Langlands duality to the symmetry group of the underlying integrable )] TJ ET
BT 83.936 646.217 Td /F1 12.0 Tf [(model. Typical approaches using nested Bethe equations, QQ-systems, and conventional )] TJ ET
BT 83.936 631.961 Td /F1 12.0 Tf [(computations of q-characters disguise this feature, but it is possible to extend the collection of )] TJ ET
BT 83.936 617.705 Td /F1 12.0 Tf [(Baxter Q-functions and offer an alternative description where the covariance under G-action is )] TJ ET
BT 83.936 603.449 Td /F1 12.0 Tf [(manifest.This covariant approach allows us to describe Bethe Algebra in a purely geometric way )] TJ ET
BT 83.936 589.193 Td /F1 12.0 Tf [(using the concept of the fused flag, to offer compact expressions for transfer matrices \(q characters\) )] TJ ET
BT 83.936 574.937 Td /F1 12.0 Tf [(in any KR representations, and to explicitly compute the spectrum of integrable models in a more )] TJ ET
BT 83.936 560.681 Td /F1 12.0 Tf [(efficient way than is done by nested Bethe equations. Moreover, this perspective allows us to )] TJ ET
BT 83.936 546.425 Td /F1 12.0 Tf [(design a new method of monodromy bootstrap to build quantum spectral curves of the AdS/CFT )] TJ ET
BT 83.936 532.054 Td /F1 12.0 Tf [(type systematically. )] TJ ET
BT 36.266 488.974 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 83.936 488.369 Td /F2 12.0 Tf [(Tea - SCGP Cafe)] TJ ET
BT 36.266 468.718 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 83.936 468.113 Td /F2 12.0 Tf [(Alexei Oblomkov - SCGP 102)] TJ ET
BT 83.936 438.742 Td /F2 12.0 Tf [(Speaker: )] TJ ET
BT 132.932 438.742 Td /F1 12.0 Tf [(Alexei Oblomkov )] TJ ET
BT 83.936 409.942 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.932 409.942 Td /F1 12.0 Tf [(EGL formula for PT theory of local curves. )] TJ ET
BT 83.936 381.257 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.584 381.257 Td /F1 12.0 Tf [(I will present a formula that expresses fully-equivariant PT invariants with descendants )] TJ ET
BT 83.936 367.001 Td /F1 12.0 Tf [(of $P^1\\times C^2$ as a contour integral of some natural hypergeometric function. A relative )] TJ ET
BT 83.936 352.745 Td /F1 12.0 Tf [(version of the formula for the relative invariants implies rationality of the PT generating function )] TJ ET
BT 83.936 338.374 Td /F1 12.0 Tf [(for PT invariants with descendants. I plan to discuss other applications of the formula. )] TJ ET
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