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math.AT2026★ 1 cited
On the Tambara Affine Line
David Chan, David Mehrle, J. D. Quigley +2
Tambara functors are the analogue of commutative rings in equivariant algebra. Nakaoka defined ideals in Tambara functors, leading to the definition of the Nakaoka spectrum of prim…
math.AT2026★ 2 cited
The spectrum of the Burnside Tambara functor
Maxine Elena Calle, David Chan, David Mehrle +3
We compute the spectrum of prime ideals in the Burnside Tambara functor over an arbitrary finite group. Our proof uses recent advances in the commutative algebra of Tambara functor…
math.AT2024
Koszul Resolutions over Free Incomplete Tambara Functors for Cyclic -Groups
David Mehrle, J. D. Quigley, Michael Stahlhauer
In equivariant algebra, Mackey functors replace abelian groups and incomplete Tambara functors replace commutative rings. In this context, we prove that equivariant Hochschild homo…