?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
Extra Form
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 37552
42 [Seminar 2020.12.23]Machine-learning for mathematics: case study of number fields and elliptic curves qsms 2020.12.07 19425
41 [SNU Number Theory Seminiar 2021.11.12] Moduli of Fontaine-Laffailles and mod-p local-global compatibility file qsms 2021.10.29 19490
40 [SNU Number Theory Seminar 21 Apr] Selberg's central limit theorem of L -functions near the critical line qsms 2023.04.20 19493
39 [QSMS-BK21 Symplectic Seminar 30 June] Matrix Factorizations qsms 2023.06.26 19508
38 [QSMS-BK21 Symplectic Seminar 26 May] 1. Product structures on the relative symplectic cohomology 2. Symplectic homology of affine varieties qsms 2023.05.25 19540
37 [QSMS Geometry seminar 2023-05-25] Symplectic field theory and codimension-2 stable Hamiltonian submanifolds qsms 2023.05.25 19578
36 [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 19640
35 [Seminar 2020.11.25] On the ordering of the Markov numbers (AM 10:00~12:00) qsms 2020.11.18 19679
34 [QSMS Seminar 2023-12-13] A user’s guide to Schubert calculus of Lagrangian Grassmannians qsms 2023.11.27 19688
33 [QSMS Symplectic topology seminar 20230817] Symplectic Torelli classes of positive entropy qsms 2023.08.14 19710
32 [QSMS Seminar 2022.04.19] Universal objects in vertex algebra theory qsms 2022.04.07 19886
31 [Seminar 2021.05.12] Equivariant symplectic homology qsms 2021.05.06 19927
30 [Series of lectures 2/21, 2/23, 2/28] An introduction to geometric representation theory and 3d mirror symmetry qsms 2023.02.02 20003
29 [SNU Number Theory Seminiar] 2021.10.15 qsms 2021.09.09 20052
28 [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 20091
27 [QSMS Seminar 2022-10-11] (q,t)-Cartan matrix and representation theories related to the specializations of the matrix file qsms 2022.09.18 20108
26 [QSMS-BK21 symplectic semiar] Part 4 (23' Aug 18 ~) qsms 2023.12.27 20154
» [QSMS Seminar 2022-09-27] Categories of Whittaker Modules over Lie superalgebras and Categorification of Fock Spaces qsms 2022.09.20 20208
24 [SNU Number Theory Seminar 2022-05-06] On an upper bound of the average analytic rank of a family of elliptic curves qsms 2022.04.19 20254
23 [QSMS Representation theory seminar 2023-12-28] Generalized polynomial functors qsms 2023.12.15 20268
Board Pagination Prev 1 2 3 4 5 6 7 8 9 Next
/ 9