Algebra/Topology seminar

Speaker: Eunice Sukarto

Title: Power operations modulo Lubin-Tate parameters

Abstract: Power operations in Morava E-theory have been studied by Rezk, Strickland, and others. We consider power operations modulo sequences of Lubin-Tate parameters. Rezk shows that the algebra of additive operations is Koszul. We show that its analogs modulo Lubin-Tate parameters are Koszul and are related by cofiber sequences. At the prime p=2, this allows us to inductively show that certain Tor groups over the algebra of additive operations vanish in nonzero degrees. These Tor groups compute the linearization/indecomposables of the E2-page of a bar spectral sequence converging to the graded 𝐸-cohomology of configuration spaces on R^n . This is joint work with Andrew Senger.