Topology Seminar
Upcoming Talks
In Winter 2024, the UChicago Algebraic Topology Seminar will meet on Tuesdays at 4:00-5:00PM in Eckhart 308 and will be preceded by a pretalk 3:30-4PM (unless otherwise noted).
To receive emails about the seminar, please email Catherine Li requesting to be subscribed to our mailing list.
-
Noah Wisdom (Northwestern)
Examples and properties of A-Landweber exact spectra (and a conjecture of May)
Landweber exact homology theories (complex oriented theories which are completely determined by complex cobordism), such as MU, KU, BP, and Lubin-Tate theories, are ubiquitous throughout chromatic homotopy theory. We propose a definition of $A$-Landweber exact spectra, for $A$ a compact abelian Lie group, although we do not prove an equivariant Landweber exact functor theorem. Our definition is supported by a collection of examples: MU_A, KU_A, their p-localizations, and BP_A, which are shown to be A-Landweber exact through ad-hoc methods, as well as an adaptation of Lurie's proof of the nonexistence of nontrivial phantom maps for Landweber exact spectra (a result originally due to Hopkins). Also, we show that a conjecture of May on $KU_A$ is false.
-
William Balderrama (University of Virginia)
If you have any questions, please contact Catherine Li, Akhil Mathew, or Peter May.