3 papers
math.KT2025
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.KT2024
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.KT2024
A few computations about the real cycle class map in low dimensions
Jens Hornbostel
We investigate the surjectivity of the real cycle class map from -cohomology to classical intergral cohomology for some real smooth varieties, in particular surfaces. This might…