Views 555 Votes 0 Comment 0


PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print


PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
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
No. Subject Author Date Views
25 weekplan_672_2020 secret qsms 2020.11.18 0
24 [Series of lectures 2/21, 2/23, 2/28] An introduction to geometric representation theory and 3d mirror symmetry qsms 2023.02.02 26
23 서울대학교 수리과학부 Rookies Workshop 2022 file qsms 2022.10.30 240
22 QSMS 2023 Winter workshop on number theory and representation theory file qsms 2023.01.06 335
21 QSMS Workshop on symplectic geometry and related topics (2023 Winter) file qsms 2023.01.06 341
20 One Day Workshop on the Arithmetic Theory of Quadratic Forms qsms 2021.10.05 459
19 2022 Summer School on Number Theory file qsms 2022.07.21 489
18 Mini-workshop on deformed W-algebras and q-characters II qsms 2022.06.03 521
» Mini-workshop on deformed W-algebras and q-characters I qsms 2022.05.15 555
16 QSMS 2021 Summer Workshop on Representation theory (Week2) qsms 2021.08.02 568
15 QSMS winter school on symplectic geometry and mirror symmetry qsms 2022.01.07 598
14 QSMS 2021 Summer Workshop on Representation theory (Week1) file qsms 2021.08.02 632
13 2021 Winter School on Number Theory qsms 2021.12.13 634
12 SYMPLECTIC GEOMETRY AND BEYOND (PART I) file qsms 2022.01.27 637
10 [QSMS 2022 Winter School] Workshop on Representation Theory file qsms 2022.01.07 751
9 QSMS 2021 위상기하 가을 워크숍 프로그램 qsms 2021.09.28 773
8 QSMS 2022 summer workshop on representation theory file qsms 2022.07.04 778
6 QSMS 20/21 Winter mini-school on Mirror symmetry and related topics (Part 2) qsms 2021.01.13 1053
Board Pagination Prev 1 2 Next
/ 2