Talk 3: Motives as a localization of categories

Speaker:

Maxime Ramzi

Affiliation:

University of Copenhagen

Date:

Thu, 12/09/2024 - 16:30 - 17:30

Location:

MPIM Lecture Hall [2]

Parent event:

Workshop on "Dualisable Categories $\&$ Continuous $K$-theory" [3]

The category of localizing motives is the recipient of the universal localizing invariant, and will be one of the main characters of this conference. I will report on joint work with Vova Sosnilo and Christoph Winges, where we give a new perspective on this category, closer in spirit to the operator theoretic $KK$-category. Namely, we prove that this category is a localization of the category of stable categories. I will discuss a proof of this result as well as applications thereof.