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math.KT2023★ 2 cited
Real Topological Hochschild Homology of Perfectoid Rings
Jens Hornbostel, Doosung Park
We refine several results of Bhatt-Morrow-Scholze on THH to THR. In particular, we compute THR of perfectoid rings. This will be useful for establishing motivic filtrations on real…
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…