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- Centre National de la Recherche ScientifiqueFR120 papers
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6 papers · 1 filter
A local twisted trace formula for Whittaker induction of coregular symmetric pairs: the geometric side
Raphaël Beuzart-Plessis, Chen Wan
In this paper, we prove the geometric expansion of a local twisted trace formula for the Whittaker induction of any symmetric pairs that are coregular. This generalizes the local (…
Free-monodromic mixed tilting sheaves on flag varieties
Pramod N. Achar, Shotaro Makisumi, Simon Riche +1
In this paper we propose a construction of a monoidal category of "free-monodromic" tilting perverse sheaves on (Kac-Moody) flag varieties in the setting of the "mixed modular deri…
Modular generalized Springer correspondence: an overview
Pramod N. Achar, Anthony Henderson, Daniel Juteau +1
This is an overview of our series of papers on the modular generalized Springer correspondence. It is an expansion of a lecture given by the second author in the Fifth Conference o…
Exotic tilting sheaves, parity sheaves on affine Grassmannians, and the Mirkovic-Vilonen conjecture
Carl Mautner, Simon Riche
Let be a connected reductive group over an algebraically closed field of good characteristic, satisfying some mild conditions. In this paper we relate til…
Kostant section, universal centralizer, and a modular derived Satake equivalence
Simon Riche
We prove analogues of fundamental results of Kostant on the universal centralizer of a connected reductive algebraic group for algebraically closed fields of positive characteristi…
Modular perverse sheaves on flag varieties I: tilting and parity sheaves
Pramod N. Achar, Simon Riche
In this paper we prove that the category of parity complexes on the flag variety of a complex connected reductive group is a "graded version" of the category of tilting perverse sh…