中国科学院数学与系统科学研究院

数学研究所

中国科学院华罗庚数学重点实验室

华罗庚青年数学论坛

学术报告

报告人： 李谷川 博士（北京大学）

题  目：The inverse topology of $K(n)$-local homotopy theory

时  间：2023.10.11（星期三），14:30-16:30

地  点：数学院南楼N802

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 topology on $K(n)$-local homotopy theory. This allow 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.