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math.KT2023
Atiyah-Segal completion for the Hermitian K-theory of Symplectic Groups
Jens Hornbostel, Herman Rohrbach, Marcus Zibrowius
We study equivariant Hermitian K-theory for representations of symplectic groups, especially . The results are used to establish an Atiyah-Segal completion theorem f…
math.KT2023
Hermitian K-theory of Grassmannians
Herman Rohrbach
We compute the additive structure of the Hermitian -theory spectrum of an even-dimensional Grassmannian over a base field of characteristic zero in terms of the Hermitian $K…
math.KT2022
On Atiyah-Segal completion for T-equivariant Hermitian K-theory
Herman Rohrbach
We show how derived completion can be used to prove an analogue of Atiyah-Segal completion for the -equivariant Hermitian K-theory of a scheme with a trivial -action, con…