Additivity of Factorization Algebras
Ph.D. Defense by Eric Berry (Mathematical Sciences, MSU)
4/14/2021 Zoom Meeting
Abstract: Factorizationalgebras 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 factorizationalgebras. In this talk, I will discuss a recent project in which we prove an additivity statement for factorizationalgebras. From this result we deduce an analogous result for locally constant factorization algebras. In particular, our results provide a new proof of Dunn's additivity for E_n algebras.