MIT Infinite Dimensional Algebra Seminar

Friday, November 05, 2021 at 3:00pm to 5:00pm

Building 2, 2-135
182 MEMORIAL DR, Cambridge, MA 02139

Speaker: Yi-Zhi Huang - Rutgers

Title: Vertex operator algebras and tensor categories

Abstract: In 1988, based on the fundamental conjectures on operator product expansion and modular invariance, Moore and Seiberg observed that there should be tensor categories with additional structures associated to rational conformal field theories. Since then, tensor category structures from conformal field theories have been constructed, studied and applied to solve mathematical problems. Mathematically, conformal field theories can be constructed and studied using the representation theory of vertex operator algebras. In this talk, I will give a survey on the constructions and studies of various tensor category structures on module categories for vertex operator algebras.

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Department of Mathematics


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