Talk by Eric Berry (Mathematical Sciences, MSU)

10/28/2019  Wilson Hall 1-144  4:10-5:00pm

 

Abstract:  

Factorization algebras are a particular type of algebraic gadget that encode the structure of observables in perturbative quantum field theory. They also arise in a purely mathematical context; for example, associative algebras and (bi)modules over them give rise to factorization algebras. In this talk, I will discuss a result from a recent project in which we prove an additivity theorem for factorization algebras, and I will discuss how we plan to deduce a similar statement for locally constant factorization algebras. In particular, these results provide a new proof of Dunn's additivity for E_n algebras. Time permitting, I will then discuss future generalizations of these results.