Time: 14:00-15:00, Wednesday, August 14, 2024
Venue: E4-201, Yungu Campus
Speaker: Guchuan Li, Peking University
Title: The inverse limit topology of $K(n)$-local homotopy theory
Abstract: 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.
