?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄 첨부
?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄 첨부
Extra Form
일정시작 2022-10-11
일정종료 2022-10-12
배경색상 #77CC00
반복주기 1
  • Date :  2022-10-11 (Tue) 10:00 ~ 11:30

2022-10-12 (Wed) 13:00 ~ 14:30

  • Place :   Zoom

  • Speaker :  오세진 (이화여자대학교)
  • Title :  (q,t)-Cartan matrix and representation theories related to the specializations of the matrix
  • Abstract :

In the last of 1990's, Frenkel and Reshetikhin introduced the two-parameter deform of Cartan matrix of finite type, usually called (q,t)-Cartan matrix, to construct two-parameter deformed version of W-algebra with a motivation arising from mathematical physics. Interestingly enough, it is proved that the q-deformed W-algebra W_q is isomorphic to the Grothedieck ring of quantum affine algebra, when it is of simply-laced finite type. In this talk, we will first see the relationship between $t=1$-specialization of (q,t)-Cartan matrix and the representation theory of quantum affine algebra by using finite root system and Dynkin quivers. If time permits, I would like to explain the relationship between $q=1$-specialization of (q,t)-Cartan matrix and the representation theory of quiver Hecke algebra, based on my works with collaborators. During the talk, I will mainly use easy examples such as type $A_3$ or $C_3$.  

 

 

 


  1. No Image notice by qsms 2021/09/09 by qsms
    Views 37546 

    QSMS Mailing List Registration

  2. No Image 07Dec
    by qsms
    2020/12/07 by qsms
    Views 19420 

    [Seminar 2020.12.23]Machine-learning for mathematics: case study of number fields and elliptic curves

  3. [SNU Number Theory Seminiar 2021.11.12] Moduli of Fontaine-Laffailles and mod-p local-global compatibility

  4. No Image 20Apr
    by qsms
    2023/04/20 by qsms
    Views 19492 

    [SNU Number Theory Seminar 21 Apr] Selberg's central limit theorem of L -functions near the critical line

  5. No Image 26Jun
    by qsms
    2023/06/26 by qsms
    Views 19506 

    [QSMS-BK21 Symplectic Seminar 30 June] Matrix Factorizations

  6. No Image 25May
    by qsms
    2023/05/25 by qsms
    Views 19536 

    [QSMS-BK21 Symplectic Seminar 26 May] 1. Product structures on the relative symplectic cohomology 2. Symplectic homology of affine varieties

  7. No Image 25May
    by qsms
    2023/05/25 by qsms
    Views 19564 

    [QSMS Geometry seminar 2023-05-25] Symplectic field theory and codimension-2 stable Hamiltonian submanifolds

  8. No Image 11Sep
    by qsms
    2023/09/11 by qsms
    Views 19639 

    [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

  9. No Image 27Nov
    by qsms
    2023/11/27 by qsms
    Views 19674 

    [QSMS Seminar 2023-12-13] A user’s guide to Schubert calculus of Lagrangian Grassmannians

  10. No Image 18Nov
    by qsms
    2020/11/18 by qsms
    Views 19677 

    [Seminar 2020.11.25] On the ordering of the Markov numbers (AM 10:00~12:00)

  11. No Image 14Aug
    by qsms
    2023/08/14 by qsms
    Views 19709 

    [QSMS Symplectic topology seminar 20230817] Symplectic Torelli classes of positive entropy

  12. No Image 07Apr
    by qsms
    2022/04/07 by qsms
    Views 19886 

    [QSMS Seminar 2022.04.19] Universal objects in vertex algebra theory

  13. No Image 06May
    by qsms
    2021/05/06 by qsms
    Views 19923 

    [Seminar 2021.05.12] Equivariant symplectic homology

  14. No Image 02Feb
    by qsms
    2023/02/02 by qsms
    Views 19996 

    [Series of lectures 2/21, 2/23, 2/28] An introduction to geometric representation theory and 3d mirror symmetry

  15. No Image 09Sep
    by qsms
    2021/09/09 by qsms
    Views 20051 

    [SNU Number Theory Seminiar] 2021.10.15

  16. No Image 17Jul
    by qsms
    2023/07/17 by qsms
    Views 20091 

    [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

  17. No Image 18Sep
    by qsms
    2022/09/18 by qsms
    Views 20102 

    [QSMS Seminar 2022-10-11] (q,t)-Cartan matrix and representation theories related to the specializations of the matrix

  18. No Image 27Dec
    by qsms
    2023/12/27 by qsms
    Views 20151 

    [QSMS-BK21 symplectic semiar] Part 4 (23' Aug 18 ~)

  19. No Image 20Sep
    by qsms
    2022/09/20 by qsms
    Views 20204 

    [QSMS Seminar 2022-09-27] Categories of Whittaker Modules over Lie superalgebras and Categorification of Fock Spaces

  20. No Image 19Apr
    by qsms
    2022/04/19 by qsms
    Views 20251 

    [SNU Number Theory Seminar 2022-05-06] On an upper bound of the average analytic rank of a family of elliptic curves

  21. No Image 15Dec
    by qsms
    2023/12/15 by qsms
    Views 20264 

    [QSMS Representation theory seminar 2023-12-28] Generalized polynomial functors

Board Pagination Prev 1 2 3 4 5 6 7 8 9 Next
/ 9