3 papers
math.RT2026
Gluing parabolic character sheaves
Kostiantyn Tolmachov
We introduce and study the category of unipotent character sheaves on the non-degenerate locus of the Vinberg semigroup associated to a reductive group of adjoint type. We show tha…
math.RT2025
Generalized Markov traces and Jucys-Murphy elements
Kostiantyn Tolmachov, Heorhii Zhylinskyi
We give a simple construction of Markov traces for Iwahori-Hecke algebras associated with infinite series of crystallographic Coxeter groups. In types B and D it is new, and genera…
math.RT2024
On a t-exactness property of the Harish-Chandra transform
Roman Gonin, Andrei Ionov, Kostiantyn Tolmachov
Using hyperbolic localization, we identify the nearby cycles along the Vinberg degeneration with the composition of Radon and Harish-Chandra functors, both considered for the categ…