Tuesday, February 2, 14:00, 7.527

Johan Steen (Trondheim), A triangulated Eilenberg-Watts theorem.

Abstract:
The ordinary Eilenberg-Watts theorem states that any right exact functor between module categories which commutes with coproducts necessarily is given as tensoring with a bimodule. In this talk, based on joint work with Greg Stevenson, I will describe how (a variant of) this theorem looks in the realm of triangulated categories. More specifically, we will replace right exact functors between abelian module categories with exact functors between certain triangulated module categories, which naturally leads us to consider enriched categories and functors.