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Homotopy Theory Seminar - Noah Wisdom

Ohio State Garden of Constants
September 5, 2024
3:00 pm - 4:00 pm
Math Tower (MW) 152

Noah Wisdom
Northwestern University

Title
Fields in Equivariant Algebra

Abstract
Tambara functors generalize finite Galois extensions and are of independent interest to equivariant homotopy theorists, appearing as the homotopy groups of ring spectra. Nakaoka defined the notion of a field-like Tambara functor (for which Galois extensions provide an example). In this talk, we'll introduce Tambara functors and classify field-like Tambara functors for the group C_{p^n}. Additionally, in collaboration with Ben Spitz and Jason Schuchardt, we will study what it means for such a Tambara functor to be algebraically closed, or "Nullstellensatzian" (in the sense of Burklund-Schlank-Yuan), with an eye towards an equivariant chromatic Nullstellensatz.

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Seminar - Homotopy Theory