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	111652
61	[2021 KMS Annual Meeting] Related talks	qsms	2021.10.05	54581
60	[QSMS Monthly Seminar]Introduction to modular curves and modular forms	qsms	2020.12.02	54624
59	[Seminar 2021.05.06] Arithmetic properties of weakly holomorphic modular functions of arbitrary level	qsms	2021.05.04	54631
58	[사교위상 초청강연 2021.07.16] Categorical entropy and symplectic geometry	qsms	2021.07.05	54676
57	[Seminar 2021.06.15, 06.22] Cluster algebras with a view toward the Jacobian conjecture	qsms	2021.05.28	54707
56	[Seminar 2021.03.19] Introduction to zeta functions of groups and rings	qsms	2021.03.04	54774
55	[QSMS Symplectic topology seminar 20230811, 0817] Spectral numbers in Tate Rabinowitz Floer Homology	qsms	2023.08.04	54830
54	[Series of lectures 2/21, 2/23, 2/28] An introduction to geometric representation theory and 3d mirror symmetry	qsms	2023.02.02	54840
53	[QSMS-BK21 Symplectic Seminar 30 June] Matrix Factorizations	qsms	2023.06.26	54865
52	[SNU Number Theory Seminar 2022-06-21] Arithmetic local systems over the moduli space of curves	qsms	2022.07.21	54895
51	[QSMS Monthly Seminar 2023-05-26] Lagrangian submanifolds and their Legendrian lifts	qsms	2023.05.26	54906
50	[QSMS Seminar 2023-12-13] A user’s guide to Schubert calculus of Lagrangian Grassmannians	qsms	2023.11.27	55004
49	[Seminar 2020.12.23]Machine-learning for mathematics: case study of number fields and elliptic curves	qsms	2020.12.07	55017
48	[SNU Number Theory Seminiar 2021.11.05] Bianchi modular symbols and p-adic L-functions	qsms	2021.10.20	55018
47	[QSMS Symplectic topology seminar 20230817] Symplectic Torelli classes of positive entropy	qsms	2023.08.14	55038
46	[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	55062
45	[초청강연 2020.11.20] Zeta함수와 L함수에 대한 역사적 고찰	qsms	2020.11.18	55144
44	[QSMS-BK21 symplectic semiar] Part 4 (23' Aug 18 ~)	qsms	2023.12.27	55144
43	[QSMS Symplectic topology seminar-20230828] From Babylonian lunar observations to global surfaces of section	qsms	2023.08.21	55257
42	[QSMS-BK21 Symplectic Seminar 26 May] 1. Product structures on the relative symplectic cohomology 2. Symplectic homology of affine varieties	qsms	2023.05.25	55367

Author

Notice

QSMS Mailing List Registration