Blue shift for real oriented cohomology theories
报告题目(Title):Blue shift for real oriented cohomology theories
报告人(Speaker):李谷川(University of Michigan)
地点(Place):后主楼1124
时间(Time):2021年8月6日15:00-16:00
邀请人(Inviter):程志云
报告摘要
Chromatic homotopy theory provides a beautiful framework to study homotopy groups of spheres via different periodic pieces. The name blue shift phenomena is borrowed from physics for the change from a periodicity to a short one. In this talk, I will present Tate blue shift phenomena for real oriented cohomology theories, which generalizes Ando-Morava-Sadofsky’s result of Johnson–Wilson theories and Greenlees-May’s result of KR. If time allows, I will talk about our ongoing projects for the hyperreal case. This talk is based on a sequence of joint projects with Hood Chatham, Vitaly Lorman and James D. Quigley.