中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
学术报告
代数拓扑讨论班
Speaker: Kaif Hilman (University of Bonn)
Inviter: 邹佛灵
Language: English
Title:Equivariant localizing motives for finite groups
Time & Venue: 2025年12月1日（星期一）16：00-17：00 &Zoom: 6817169181Password: 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.
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