中科院数学与系统科学研究院

数学研究所

拓扑研讨班

报告人：李谷川 博士（密歇根大学）

题  目：Tate cohomology for real oriented cohomology theories

时  间：2021.04.30（星期五），10:15-11:45

地  点：数学院南楼N208室

摘  要：In this talk, we present Tate blue shift phenomena for real oriented cohomology theories and norms of them. The ℤ/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 Hℤ. 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.