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일정시작 2021-12-03
일정종료 2021-12-03
배경색상 #036eb7
  • 2021년 12월 QSMS 월례 세미나
  • 일시: 12월 03일 금 오후 2시 ~ 5시
  • 장소: 129동 101호

 

  • 발표자:  권재훈 (2시~3시)
  • 제목:  Introduction to finite-dimensional representations of quantum affine algebras
  • 초록:  In this talk, we give a brief introduction to the representation theory of quantum affine algebras.We focus on the finite-dimensional representations, and the classification of simple modules, and the fusion construction of simple modules by using R matrix.

 

  • 발표자:  박의용 (4시~5시)
  • 제목:  Category of finite-dimensional integrable modules over a quantum affine algebra
  • 초록:  본 발표에서는 quantum affine algebra (아핀 A_n^(1) 중심으로)의 유한차원 integrable 표현의 표현 범주에 대해서 발표한 예정으로 구체적인 주제는 아래와 같습니다.  

(i) 유한차원 integrable 표현의 표현 범주의 성질 (e.g., tensor 등) 설명

(ii) Hernandez-Leclerc 범주 C_g^0와 C_g^Q, 그것의 simple module 그리고 AR quiver 와의 관계 설명

(iii) Hernandez-Leclerc 범주의 (quantum) Grothendieck ring 설명

(iv) Hernandez-Leclerc 범주관련 1그룹 최신 결과 소개와 Fukaya category 와의 관계 소개  

 

 

 


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