6 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 and…
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…
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…
Real Global Group Laws and Hu-Kriz Maps
Jack Carlisle, Noah Wisdom, Guoqi Yan
Recently, Hausmann defined global group laws and used them to prove that is the -equivariant Lazard ring, for a compact abelian Lie group. On the other hand, Hu and…
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…