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math.RT2025
Tilting modules for reductive algebraic groups: characters and support varieties
Pramod N. Achar, Simon Riche
These notes are our contribution to the Proceedings of the ICM 2026. We discuss some results we have obtained (in part jointly with coauthors) regarding the representation theory o…
math.RT2025
Modular intersection cohomology of Drinfeld's compactifications
Pramod N. Achar, Gurbir Dhillon, Simon Riche
We compute the dimension of the cohomology of stalks of intersection cohomology complexes on Zastava schemes and Drinfeld compactifications associated with a connected reductive al…
math.RT2025
Semiinfinite sheaves on affine flag varieties
Pramod N. Achar, Gurbir Dhillon, Simon Riche
We study a category of semiinfinite sheaves on the affine flag variety of a connected reductive algebraic group, with coefficients in a field (of arbitrary characteristic different…