Algebra/Topology Seminar
Speaker: Rin Ray,
Title: 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.