5 papers
Dualisable categories in noncommutative geometry
Devarshi Mukherjee, Thomas Nikolaus
In this exposition based on a lecture series at the CIMPA School on Operator Algebras and K-theory, 2025, we highlight modern perspectives on noncommutative geometry using dualisab…
Bredon sheaf cohomology
Guido Arnone, Devarshi Mukherjee, Thomas Nikolaus
For a finite group , we compute the algebraic -theory of the category of equivariant sheaves on a locally compact Hausdorff -space, generalizing a result of Efimov, and de…
On the -theory of
Benjamin Antieau, Achim Krause, Thomas Nikolaus
We give an explicit algebraic description, based on prismatic cohomology, of the algebraic K-groups of rings of the form where is a p-adic field and is a non-trivia…
Witt vectors with coefficients and TR
Emanuele Dotto, Achim Krause, Thomas Nikolaus +1
We give a new construction of -typical Witt vectors with coefficients in terms of ghost maps and show that this construction is isomorphic to the one defined in terms of formal…
Prismatic cohomology relative to -rings
Benjamin Antieau, Achim Krause, Thomas Nikolaus
We develop prismatic and syntomic cohomology relative to a -ring. This simultaneously generalizes Bhatt and Scholze's absolute and relative prismatic cohomology and shows that t…