Speaker: Kaif Hilman，University of Bonn

Inviter: 邹佛灵

Title: Equivariant localizing motives for finite groups

Language: English

Time & Venue: 2025.12.01 16:00-17:00 Zoom: 6817169181 Password: 211748

Abstract: In this talk, I will give a proposal for a definition of genuine equivariant localising motives for finite groups. This notion will be based on that of idempotent complete equivariantly stable categories. Using isotropy separation arguments on equivariant cubes and the recent insights of Ramzi-Sosnilo-Winges, we will see how to use this version of motives to enhance the algebraic K-theory functor with the structure of multiplicative norms. Time permitting, we will also discuss other applications such as showing that all genuine G-spectra are the K-theory of a G-stable category. This reports on joint work-in-progress with Maxime Ramzi.