Bonn Topology Group - Abstracts

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Talk

January 9, 2024
Rin Ray (Universität Münster): Moduli Stacks of Curves 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 in many cases as a G-representation, this deformation space is a quotient of a regular representation of a finite cyclic group! This allows us to deduce information about the E2 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.