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	106092
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	53277
118	[QSMS-BK21 Symplectic Seminar 12 May] Introduction to Floer Homotopy: Global Kuranishi Charts via Abouzaid-McLean-Smith	qsms	2023.05.12	50410
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	50269
116	[QSMS Seminar 2023-05-17] Affinizations, R-matrices and reflection functors	qsms	2023.05.04	50322
115	[QSMS Monthly Seminar 2023-04-21] Lagrangian submanifolds and their Legendrian lifts	qsms	2023.04.21	50181
114	[SNU Number Theory Seminar 2 June] A refined Tamagawa number conjecture for modular forms	qsms	2023.04.20	55168
113	[SNU Number Theory Seminar 21 Apr] Selberg's central limit theorem of L -functions near the critical line	qsms	2023.04.20	53828
112	[SNU Number Theory Seminar 14 Apr] Homological interpretation of Hecke $L$-values over real quadratic fields	qsms	2023.03.31	55212
111	[QSMS Monthly Seminar 2023-03-24] Rational points on abelian varieties	qsms	2023.03.24	54255
110	[QSMS-BK21 Symplectic Seminar 10 Mar] Mirror Symmetry for Log Calabi-Yau Surfaces	qsms	2023.03.09	54795
109	[SNU Number Theory Seminar 31 Mar] Height gap theorem and almost law	qsms	2023.03.02	54831
108	[SNU Number Theory Seminar 6 ~ 7 Feb] Prismatic F-crystals and applications to p-adic Galois representations	qsms	2023.02.13	54732
107	[Series of lectures 2/21, 2/23, 2/28] An introduction to geometric representation theory and 3d mirror symmetry	qsms	2023.02.02	52832
106	[2022 Global KMS International Conference 10/19 ~ 10/21] Related talks	qsms	2023.01.05	54246
105	[QSMS 집중강연 Representation theory 2023-02-13] Mini-course on quantum symmetric pairs II	qsms	2023.01.05	50305
104	[QSMS 집중강연 Representation theory 2023-02-07] Mini-course on quantum symmetric pairs I	qsms	2023.01.03	50416
103	[QSMS Geometry Seminar 20221230] Morphism spaces between coisotropic A-branes	qsms	2022.12.27	58146
102	[QSMS Monthly Seminar 2022-12-02] Extended crystal structures of Hernandez-Leclerc categories	qsms	2022.12.02	50363
101	[SNU Number Theory Seminar 2022-12-02] Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one	qsms	2022.11.28	51786
100	[QSMS-BK21 Symplectic Geometry Seminar 2022-12-09] Introduction to Floer Homotopy: Formal Groups and Complex Cobordism	qsms	2022.11.28	50395

Author

Notice

QSMS Mailing List Registration