Equivariant Hochschild theories from a shadow perspective

Nota: Esta plática es en martes, no jueves como es usual

Bicategorical shadows, defined by Ponto, provide a useful framework that generalizes classical and topological Hochschild homology. I'll begin the talk by reviewing this framework and introducing the equivariant Hochschild invariants we will discuss, twisted THH and Hochschild homology for Green functors. I will then talk about joint work with Adamyk, Gerhardt, Hess, and Kong, in which we prove that these equivariant Hochschild invariants are bicategorical shadows, from which we deduce that they satisfy Morita invariance. We also show that they receive trace maps from an equivariant version of algebraic K-theory.