7 papers · 1 filter
Affine étale group schemes over Tambara fields
Noah Wisdom
We classify finite étale extensions and finite affine étale group schemes over the -Tambara functor , for any algebraically closed field a…
The subgroup stratification of Nakaoka spectra
Noah Wisdom
We construct a stratification on the Nakaoka spectrum of any -Tambara functor indexed by the poset of subgroups of . When is Dedekind, we show that the th stratum of t…
Clarification and Coinduction of Tambara Functors
Noah Wisdom
Tambara functors are equivariant analogues of rings arising in representation theory and equivariant homotopy theory. We introduce the notion of a clarified Tambara functor and sho…
On minimal bases in homotopical combinatorics
Katharine Adamyk, Scott Balchin, Miguel Barrero +3
We present a development in the computational suite for the study of operads for a finite group . This progress is achieved using the simple yet powerful observation…
Algebraically Closed Fields in Equivariant Algebra
Jason Schuchardt, Ben Spitz, Noah Wisdom
Using the Burklund-Schlank-Yuan abstraction of ``algebraically closed" to ``Nullstellensatzian", we show that a -Tambara functor is Nullstellensatzian if and only if it is the c…
A classification of -Tambara fields
Noah Wisdom
Tambara functors arise in equivariant homotopy theory as the structure adherent to the homotopy groups of a coherently commutative equivariant ring spectrum. We show that if is…