The inverse limit topology of $K(n)$-local homotopy theory

2024-08-13 09:25:24

时间:2024年8月14日(星期三)14:00-15:00

地点:西湖大学云谷校区E4-201


主讲人:Guchuan Li, Peking University

报告题目:The inverse limit topology of $K(n)$-local homotopy theory

报告摘要:Homotopy theory can be studied through its $p$-localization for all primes $p$. Chromatic homotopy theory allows one to further decompose $p$-local homotopy theory into $K(n)$-local homotopy theory for all heights $n$. In this talk, we introduce an inverse limit topology on $K(n)$-local homotopy theory. This allows us to identify the entire E1 and E2-pages of the descent spectral sequence for Picard groups of profinite Galois extensions of the $K(n)$-local sphere. This is joint work with Ningchuan Zhang.