조회 수 3625 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 2022-05-31
일정종료 2022-05-31
배경색상 #6aa84f

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

 

Date :  2022-05-31 (Tue) 

Place :  27-220 (SNU)

Time table:  

  • 9:30~11:00

Speaker: 이강산 (SNU)

Title: Introduction to vertex algebras and W-algebras

Abstract: The vertex algebras introduced by R. E. Borcherds are defined by operator-valued formal series with some axioms. In this talk, I will introduce basic properties of vertex algebras and some examples, including affine vertex algebras.  Also, I will show how to get W-algebras as Hamiltonian reductions of affine vertex algebras.

 

  • 13:30~15:00

Speaker: 최동준 (SNU)

Title: Classical W-algebra and scalar Lax equation.

Abstract: Classical W-algebra W(sl_n) can be realized by a scalar Lax equation of degree n. By replacing derivation in the Lax operator with the difference operator, we can construct t-deformed W-algebra W_{1,t} (sl_n). In this talk, I will introduce the construction of W_{1,t} (sl_n). If time allows, I will discuss the algebraic structure of W_{1,t} (sl_n)

 

  • 15:30~17:00

Speaker: 송아림 (SNU)

Title: Screening operators for quantum W-algebras

Abstract : Frenkel and Reshetikhin defined q, t-deformed W-algebra in deformed Heisenberg algebra using screening operators $S^-_i$ and $S^+_i$. To understand this algebra, we take a look at quantum W-algebra, which is obtained by specializing q and t. In this talk, we show the realization of quantum W-algebras as subalgebras of Heisenberg algebras, which explains the screening operators $S^-_i$. After that, we would see Feigin Frenkel duality, which explains the other screening operators $S^+_i$.

 

 


List of Articles
번호 제목 글쓴이 날짜 조회 수
41 weekplan_672_2020 secret qsms 2020.11.18 0
40 [집중강연 2021.02.01~05] Auslander-Reiten translation and $\tau$-tilting theory file qsms 2020.11.18 5545
39 QSMS 20/21 Winter mini-school on Mirror symmetry and related topics (Part 1) qsms 2021.01.13 17286
38 QSMS 20/21 Winter mini-school on Mirror symmetry and related topics (Part 2) qsms 2021.01.13 4182
37 QSMS mini-workshop on number theory and representation theory qsms 2021.01.13 10246
36 QSMS 20/21 Winter School on Representation Theory qsms 2021.01.13 4034
35 Cluster algebras and related topics qsms 2021.05.07 5006
34 QSMS 2021 Summer Workshop on Representation theory (Week1) file qsms 2021.08.02 3699
33 QSMS 2021 Summer Workshop on Representation theory (Week2) qsms 2021.08.02 3628
32 QSMS 2021 위상기하 가을 워크숍 프로그램 qsms 2021.09.28 3774
31 CONFERENCE ON ALGEBRAIC REPRESENTATION THEORY 2021 qsms 2021.10.04 3759
30 QUANTUM GROUPS AND CLUSTER ALGEBRAS qsms 2021.10.04 3886
29 One Day Workshop on the Arithmetic Theory of Quadratic Forms qsms 2021.10.05 3507
28 2021 Winter School on Number Theory qsms 2021.12.13 3713
27 [QSMS 2022 Winter School] Workshop on Representation Theory file qsms 2022.01.07 3984
26 QSMS winter school on symplectic geometry and mirror symmetry qsms 2022.01.07 3793
25 SYMPLECTIC GEOMETRY AND BEYOND (PART I) file qsms 2022.01.27 3766
» Mini-workshop on deformed W-algebras and q-characters I qsms 2022.05.15 3625
23 Mini-workshop on deformed W-algebras and q-characters II qsms 2022.06.03 3462
22 QSMS 2022 summer workshop on representation theory file qsms 2022.07.04 3877
Board Pagination Prev 1 2 3 Next
/ 3