Algebra/Topology Seminar

Speaker: Naruki Masuda

Title: Categorical spectra and their tensor product

Abstract: Categorical spectra are a higher categorical generalization of spectra. Namely, it is a sequence (X_n) of pointed (∞, ∞)-categories with the identification X_n= (the loop of X_n+1), where the loop is the endomorphisms of the basepoint. I will give some examples and explain why this is something worth exploring. I will extend the tensor product of spectra to categorical spectra. I will explain the subtlety of doing that and give some applications related to TQFTs.