现在位置:首页 > 学术报告
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

李谷川博士,University of Michigan

Inviter:  
Title:
Periodic Phenomena in homotopy theory
Language: Chinese
Time & Venue:
2023.01.04 09:00-10:00 腾讯会议:869-781-765
Abstract:

Chromatic homotopy theory uses the algebraic geometry of smooth 1-parameter formal groups to separate stable homotopy theory into periodic layers. The 1st layer recovers the image of Adams’ J homomorphism and the real Bott periodicity of the real topological K-theory KO. In this talk, I will present a generalization of the real Bott periodicity of KO to general layers at prime 2. The proof takes inspiration from the breakthroughs of Hill—Hopkins—Ravenel’s solution to Kervaire invariant one problem. This is based on joint works with Zhipeng Duan, XiaoLin Danny Shi, Guozhen Wang, and Zhouli Xu.

 

 

附件下载:
 
 
【打印本页】【关闭本页】
电子政务平台   |   科技网邮箱   |   ARP系统   |   会议服务平台   |   联系我们   |   友情链接