3 papers
math.CT2025
Cofinality via Weighted Colimits
Shai Keidar, Lior Yanovski
We prove a refinement of Quillen's Theorem A, providing necessary and sufficient conditions for a functor to be cofinal with respect to diagrams valued in a fixed -category…
math.AT2025
Characters and transfer maps via categorified traces
Shachar Carmeli, Bastiaan Cnossen, Maxime Ramzi +1
We develop a theory of generalized characters of local systems in -categories, which extends classical character theory for group representations and, in particular, the in…
math.KT2024
Descent and cyclotomic redshift for chromatically localized algebraic K-theory
Shay Ben-Moshe, Shachar Carmeli, Tomer M. Schlank +1
We prove that -localized algebraic -theory satisfies descent for -finite -group actions on stable -categories of chromatic height up to , extending a r…