조회 수 1663 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
36 QSMS 2024 Summer School on Representation Theory file qsms 2024.03.22 1294
35 School on Lie theoretical methods in symplectic geometry and mirror symmetry file qsms 2024.03.22 936
34 2024 Algebra Camp file qsms 2024.01.05 1678
33 Workshop on torus actions on symplectic and algebraic geometry qsms 2023.10.06 1257
32 East Asian Symplectic Conference 2023 file qsms 2023.09.04 1805
31 [Symplectic Geometry] QSMS SUMMER SCHOOL 2023 qsms 2023.07.17 1404
30 The 3rd International Undergraduate Mathematics Summer School file qsms 2023.07.11 1408
29 2023 Summer School on Number Theory file qsms 2023.07.11 1508
28 QSMS 2023 Summer Workshop on Representation theory file qsms 2023.07.11 1385
27 Cluster algebras and related topics in East Asia file qsms 2023.05.15 2004
26 Combinatorics on flag varieties and related topics 2023 file qsms 2023.02.13 1772
25 [Series of lectures 2/21, 2/23, 2/28] An introduction to geometric representation theory and 3d mirror symmetry qsms 2023.02.02 1212
24 QSMS Workshop on symplectic geometry and related topics (2023 Winter) file qsms 2023.01.06 1651
23 QSMS 2023 Winter workshop on number theory and representation theory file qsms 2023.01.06 1569
22 서울대학교 수리과학부 Rookies Workshop 2022 file qsms 2022.10.30 1475
21 2022 Summer School on Number Theory file qsms 2022.07.21 1652
20 QSMS 2022 summer workshop on representation theory file qsms 2022.07.04 1941
19 Mini-workshop on deformed W-algebras and q-characters II qsms 2022.06.03 1590
» Mini-workshop on deformed W-algebras and q-characters I qsms 2022.05.15 1663
17 SYMPLECTIC GEOMETRY AND BEYOND (PART I) file qsms 2022.01.27 1754
Board Pagination Prev 1 2 Next
/ 2