Speaker: Denis Nardin (Université Paris 13)
Title: Hermitian K-theory for stable ∞-categories
Abstract: In this talk, I will present a definition of Hermitian K-theory for stable ∞-categories equipped with a quadratic functor. This generalizes the hermitian K-theory of pretriangulated Z[1/2]-categories of Schlichting. This functor satisfies a universal property similar to the one satisfied by K-theory. I will explain how it is related to the L-theory spectrum defined by Lurie in the same setting and how we can use this relationship to compute the hermitian K-theory of finite fields.