Algebra/Topology Seminar 04012021

Speaker: Eric Berry

Title: Additivity of factorization algebras

Abstract: Factorization algebras are an articulation of the structure of observables in perturbative quantum field theory. They also arise in a purely mathematical context; for example, algebras and modules over them give rise to factorization algebras. In this talk, I will discuss a recent project in which we prove an additivity statement for the category of factorization algebras. Further, I will discuss how we deduce an analogous statement for locally constant factorization algebras. In particular, these results provide a new proof of Dunn’s additivity. Time permitting, I will discuss some other consequences and natural generalizations of these results.