Huang Yizhi:Modular tensor categories and modular functors from representations of vertex operator algebras 2:00-4:00pm

2006-05-29 来源:数学科学研究中心

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活动类型:学术报告

主讲人:Huang Yizhi(Rutgers University, USA)

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2006  
   
Center of Mathematical Sciences
 at Zhejiang University
 学术演讲 


Abstract: I shall discuss the construction of modular tensor  category structures on categories of modules for vertex  operator algebras satisfying suitable uniqueness,finiteness and reductivity conditions. Combining with the work of Turaev and Bakalov-Kirillov, we obtain modular functors and  3-dimensional topological field theories. These results are  part of a program to construct conformal field theories in the sense of Kontsevich and Segal from representations of vertex operator  algebras.