qsms.math.snu.ac.kr - [QSMS Seminar 2022-09-27] Categories of Whittaker Modules over Lie superalgebras and Categorification of Fock Spaces

Extra Form
일정시작	2022-09-27
일정종료	2022-09-27
배경색상	#77CC00

일정시작

2022-09-27

일정종료

2022-09-27

배경색상

#77CC00

Date : 2022-09-27 (Tue) 15:00 ~ 16:00
Place : Zoom
Speaker : Shun-Jen Cheng (Academia Sinica)
Title : Categories of Whittaker Modules over Lie superalgebras and Categorification of Fock Spaces
Abstract :

We explain certain categories of Whittaker modules over the Lie superalgebras that can be realized as properly stratified categories. These categories turn out to be equivalent to certain Serre quotients of the BGG category O. Using this realization we show that in the case of the general linear and ortho-symplectic Lie superalgebras these Whittaker categories categorify certain q-symmetric Fock spaces over the infinite-rank quantum group of type A and certain infinite-rank quantum symmetric pairs of type AIII, respectively. In this picture, the canonical and dual canonical bases in these q-symmetric Fock spaces correspond to tilting and simple objects in these Whittaker categories, respectively. This talk is based on joint works with C.-W. Chen and V. Mazorchuk.

List of Articles
No.	Subject	Author	Date	Views
Notice	QSMS Mailing List Registration	qsms	2021.09.09	92735
130	[QSMS Seminar 2023-10-06, 11-03] Algebraic group analogues of the Slodowy slices and the structure of the set of conjugacy classes in algebraic groups / Poisson q-W-algebras	qsms	2023.09.11	47344
129	[QSMS Symplectic topology seminar-20230828] From Babylonian lunar observations to global surfaces of section	qsms	2023.08.21	47308
128	[QSMS Symplectic topology seminar 20230817] Symplectic Torelli classes of positive entropy	qsms	2023.08.14	47212
127	[QSMS Symplectic topology seminar 20230811, 0817] Spectral numbers in Tate Rabinowitz Floer Homology	qsms	2023.08.04	47030
126	[QSMS-BK21 Symplectic Seminar 28 July] Nonexistence of Exact K(G,1) Lagrangians in Milnor Fibers of Weighted Homogeneous Polynomials / Associative Yang-Baxter Equation and Fukaya Categories	qsms	2023.07.17	47258
125	[QSMS-BK21 Symplectic Seminar 14 July] Introduction to 3D Mirror Symmetry, from a Symplectic Viewpoint / Orbifolding Lagrangian Floer Cohomology	qsms	2023.07.12	44824
124	[SNU Number Theory Seminar 30 June] Do Tropical Markov Cubics dream of Hyperbolic Origami?	qsms	2023.06.26	47336
123	[QSMS-BK21 Symplectic Seminar 30 June] Matrix Factorizations	qsms	2023.06.26	46867
122	[QSMS-BK21 Symplectic Seminar 9 June] Physical Aspects of the Calegaro System / Introduction to BV Formalism	qsms	2023.06.26	42388
121	[QSMS Monthly Seminar 2023-05-26] Lagrangian submanifolds and their Legendrian lifts	qsms	2023.05.26	46683
120	[QSMS Geometry seminar 2023-05-25] Symplectic field theory and codimension-2 stable Hamiltonian submanifolds	qsms	2023.05.25	47446
119	[QSMS-BK21 Symplectic Seminar 26 May] 1. Product structures on the relative symplectic cohomology 2. Symplectic homology of affine varieties	qsms	2023.05.25	47454
118	[QSMS-BK21 Symplectic Seminar 12 May] Introduction to Floer Homotopy: Global Kuranishi Charts via Abouzaid-McLean-Smith	qsms	2023.05.12	44748
117	[QSMS-BK21 Symplectic Seminar 28 Apr] PGL(2,Q_p)-ORBIT CLOSURES ON A p-ADIC HOMOGENEOUS SPACE OF INFINITE VOLUME	qsms	2023.05.12	44595
116	[QSMS Seminar 2023-05-17] Affinizations, R-matrices and reflection functors	qsms	2023.05.04	44496
115	[QSMS Monthly Seminar 2023-04-21] Lagrangian submanifolds and their Legendrian lifts	qsms	2023.04.21	44234
114	[SNU Number Theory Seminar 2 June] A refined Tamagawa number conjecture for modular forms	qsms	2023.04.20	42196
113	[SNU Number Theory Seminar 21 Apr] Selberg's central limit theorem of L -functions near the critical line	qsms	2023.04.20	47402
112	[SNU Number Theory Seminar 14 Apr] Homological interpretation of Hecke $L$-values over real quadratic fields	qsms	2023.03.31	48785
111	[QSMS Monthly Seminar 2023-03-24] Rational points on abelian varieties	qsms	2023.03.24	47762

Author

Notice

QSMS Mailing List Registration