Speaker: Maxime Ramzi – Unversity of Copenhagen
Abstract: We use the Hochschild-homological interpretation of dimensions and more generally traces in symmetric monoidal $\infty$-categories to produce formulas for dimensions and traces of colimits over sufficiently nice spaces.
These formulas specialize on the one hand to the very classical character-theoretic formulas for dimensions of coinvariants in the case of vector spaces in characteristic $0$ and when the space is $BG$ for some finite group $G$; and on the other hand to the Blumberg-Cohen-Schlichtkrull formula for topological Hochschild homology of Thom spectra.
This is all joint work with Shachar Carmeli, Bastiaan Cnossen and Lior Yanovski