Department of Mathematics,
University of California San Diego
****************************
Math 292 - Topology Seminar
Catherine Ray
Northwestern University
Galois Theory in Homotopy Theory
Abstract:
We construct ramified families of curves to explicitly model the Lubin-Tate action, the action of a formal group law on its deformation space, for a maximal finite subgroup $G$. We will see that as a $G$-representation, this deformation space is a quotient of a regular representation of a finite cyclic group! This allows us to partially compute the $E_2$ page of the homotopy fixed point spectral sequence of the $K(h, p)$-local homotopy groups of spheres for height $h=p^{k-1}(p-1)$, for all such $h$ and $p$ simultaneously. Thus, we resolve a 40 year old computational stalemate.
Host: Zhouli Xu
February 15, 2022
1:00 PM
https://ucsd.zoom.us/j/99777474063
Password: topology
Research Areas
Geometry and Topology****************************
