September 5, 2024
3:00PM - 4:00PM
Math Tower (MW) 152
Add to Calendar
2024-09-05 15:00:00
2024-09-05 16:00:00
Homotopy Theory Seminar - Noah Wisdom
Noah WisdomNorthwestern UniversityTitleFields in Equivariant AlgebraAbstractTambara 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.
Math Tower (MW) 152
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
2024-09-05 15:00:00
2024-09-05 16:00:00
Homotopy Theory Seminar - Noah Wisdom
Noah WisdomNorthwestern UniversityTitleFields in Equivariant AlgebraAbstractTambara 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.
Math Tower (MW) 152
Department of Mathematics
math@osu.edu
America/New_York
public
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.
