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李谷川 博士:Tate cohomology for real oriented cohomology theories

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 李谷川 博士，密歇根大学
Inviter:
Title:
 Tate cohomology for real oriented cohomology theories
Time & Venue:
 2021.04.30 10:15-11:45 南楼N208室
Abstract:
 In this talk, we present Tate blue shift phenomena for real oriented cohomology theories and norms of them. The ?/p-Tate cohomology spectrum of the n’th Johnson–Wilson theory splits as a wedge of (n-1)’th Johnson–Wilson theories (after completion). We construct a C_2-equivariant lifting of this splitting for Real Johnson–Wilson theories. The C_2-fixed points of this splitting is a higher height analogue to Davis and Mahowald’s splitting of the Tate cohomology spectrum of ko as a wedge of H?. If time allows, I will discuss the normed case. This talk is based on a sequence of joint projects with Hood Chatham, Vitaly Lorman and James D. Quigley.

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