Representation theory and cohomology theory of meromorphic open-string vertex algebras

Geometry, Symmetry and Physics
Event time: 
Monday, October 15, 2018 - 4:30pm
LOM 214
Fei Qi
Speaker affiliation: 
Yale University
Event description: 

A meromorphic open-string vertex algebra (MOSVA for short) is an algebraic structure formed by vertex operators that satisfy associativity but do not necessarily satisfy commutativity. It was introduced by Yi-Zhi Huang in 2012. I will start by recall the definitions and give a brief summary on the current progress of our joint studies on these algebras and their representations. Then I will introduce the cohomology theory and explain the proof of the following reductivity theorem: if for every bimodule for the MOSVA, the first cohomology is given by the zero-mode derivations, then for every left module for the MOSVA that is of finite length and satisfies a composability condition, it is completely reducible.