조회 수 3509 추천 수 0 댓글 0
?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
Extra Form
일정시작 2022-06-16
일정종료 2022-06-16
배경색상 #6aa84f

Mini-workshop on deformed W-algebras and q-characters II

 

  • Date: 2022-06-16 (Thu)
  • Place: 129-406 (SNU)
  • Timetable:

9:00 ~ 10:00

Speaker: 서의린 (SNU)

Title: Constructions of W-algebras

Abstract: In this talk, I will briefly review two of most well-known constructions of classical and quantum W-algebras. The first part will be about Drinfeld-Sokolov reduction and the second part will be about screening operators. I will also show how these two constructions are related to each other in both classical and quantum cases.   

 

10:30 ~ 12:00

Speaker: 장일승 (QSMS, SNU)

Title: Introduction to q-characters

Abstract: Let U' be the quantum affine algebra corresponding to an affine Lie algebra (of untwisted type). In [arXiv:math/9810055], Frenkel and Reshetikhin provided a refined notion of the ordinary character in the category of finite-dimensional U'-modules, so-called q-character, motivated by their theory of deformed W-algebras. In this talk, I will briefly introduce the q-character and discuss it, focusing mainly on type A with rank 1 or 2.

 

14:00 ~ 15:30

Speaker: 김영훈 (QSMS, SNU)

Title: Computation of q-characters of finite dimensional modules of quantum affine algebras

Abstract: In 1998, Frenkel and Reshetikhin introduced an injective ring homomorphism, called the q-character, from the Grothendieck ring of finite-dimensional modules of a quantum affine algebra to a ring of Laurent polynomials. In this talk, we first study some basic properties of the q-character. Then, we explicitly compute q-characters for some example modules.   

 

16:00 ~ 17:00

Speaker: 이신명 (SNU)

Title: Deformed W-algebras and q-characters      

Abstract: In this talk, we investigate relations between deformed W-algebras and finite-dimensional representations of quantum affine algebras. We first define various deformed W-algebras by means of screening operators. Among them, we focus on q-deformed W-algebras, whose free field realization can be identified with the q-character map. Finally, we give a brief survey on more recent results on both sides.     

 

 


  1. 서울대학교 수리과학부 Rookies Workshop 2022

  2. 2022 Summer School on Number Theory

  3. QSMS 2022 summer workshop on representation theory

  4. No Image 03Jun
    by qsms
    2022/06/03 by qsms
    Views 3509 

    Mini-workshop on deformed W-algebras and q-characters II

  5. No Image 15May
    by qsms
    2022/05/15 by qsms
    Views 3683 

    Mini-workshop on deformed W-algebras and q-characters I

  6. SYMPLECTIC GEOMETRY AND BEYOND (PART I)

  7. No Image 07Jan
    by qsms
    2022/01/07 by qsms
    Views 3869 

    QSMS winter school on symplectic geometry and mirror symmetry

  8. [QSMS 2022 Winter School] Workshop on Representation Theory

  9. No Image 13Dec
    by qsms
    2021/12/13 by qsms
    Views 3782 

    2021 Winter School on Number Theory

  10. No Image 05Oct
    by qsms
    2021/10/05 by qsms
    Views 3562 

    One Day Workshop on the Arithmetic Theory of Quadratic Forms

  11. No Image 04Oct
    by qsms
    2021/10/04 by qsms
    Views 3974 

    QUANTUM GROUPS AND CLUSTER ALGEBRAS

  12. No Image 04Oct
    by qsms
    2021/10/04 by qsms
    Views 3814 

    CONFERENCE ON ALGEBRAIC REPRESENTATION THEORY 2021

  13. No Image 28Sep
    by qsms
    2021/09/28 by qsms
    Views 3829 

    QSMS 2021 위상기하 가을 워크숍 프로그램

  14. QSMS 2021 Summer Workshop on Representation theory (Week2)

  15. QSMS 2021 Summer Workshop on Representation theory (Week1)

  16. No Image 07May
    by qsms
    2021/05/07 by qsms
    Views 5058 

    Cluster algebras and related topics

  17. No Image 13Jan
    by qsms
    2021/01/13 by qsms
    Views 4094 

    QSMS 20/21 Winter School on Representation Theory

  18. No Image 13Jan
    by qsms
    2021/01/13 by qsms
    Views 10307 

    QSMS mini-workshop on number theory and representation theory

  19. No Image 13Jan
    by qsms
    2021/01/13 by qsms
    Views 4308 

    QSMS 20/21 Winter mini-school on Mirror symmetry and related topics (Part 2)

  20. No Image 13Jan
    by qsms
    2021/01/13 by qsms
    Views 17348 

    QSMS 20/21 Winter mini-school on Mirror symmetry and related topics (Part 1)

Board Pagination Prev 1 2 3 Next
/ 3