Topology Seminar
Upcoming Talks
The seminar will meet at 4:30pm on Tuesdays in Eckhart room 203 unless otherwise noted. There will also be a pretalk at 2:30pm in the same room.
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Gijs Heuts (Universitat Utrecht)
Lie algebras and v_{n}periodic spaces
E203, 2:303:30, note unusual time
I will discuss a homotopy theory obtained from that of pointed spaces by inverting the maps inducing isomorphisms in v_{n}periodic homotopy groups. The case n = 0 corresponds to rational homotopy theory. In analogy with Quillenâ€™s results in the rational case, I will outline how this v_{n}periodic homotopy theory is equivalent to the homotopy theory of Lie algebras in T(n)local spectra. One can also compare it to the homotopy theory of cocommutative coalgebras in T(n)local spectra. For n > 0 these theories are no longer equivalent; the failure can be expressed in terms of the convergence of the Goodwillie tower of the identity in periodic homotopy.

Lukas Brantner (Max Planck Institute)
Operations on Spectral Lie Algebras and a Conjecture of Ravenel
K(n)local Lie algebras over LubinTate space give computationally accessible variants of the recently discovered chromatic Lie models for spaces. After reviewing the operations which act on their homotopy groups, I will explain how they give rise to a new approach to an old conjecture of Ravenel and report on ongoing joint work with Hahn and Knudsen.
If you have any questions, please contact Dylan Wilson or Zev Chonoles.