30 citations · 33 across the 4 of their papers we have counts for
8 papers · 1 filter
Modular reduction of complex representations of finite reductive groups
Roman Bezrukavnikov, Michael Finkelberg, David Kazhdan +1
The main result describes the Brauer-Nesbitt reduction of unipotent representations of a finite group of Lie type, expressing it as an explicit linear combination of the restrictio…
Relative Langlands duality for
Alexander Braverman, Michael Finkelberg, David Kazhdan +1
We establish an -duality converse to the one studied by the 1st, 2nd and 4th authors; this is also a case of a twisted version of the relative Langlands duality of Ben Zvi, Sake…
Equivariant Satake category and Kostant-Whittaker reduction
Roman Bezrukavnikov, Michael Finkelberg
We explain (following V. Drinfeld) how the equivariant derived category of the affine Grassmannian can be described in terms of coherent sheaves on the Langlands dual Lie algebra e…
Gaiotto conjecture for
Alexander Braverman, Michael Finkelberg, Roman Travkin
We prove D.Gaiotto's conjecture about geometric Satake equivalence for quantum supergroup for generic . The equivalence goes through the category o…
Orthosymplectic Satake equivalence, II
Alexander Braverman, Michael Finkelberg, Roman Travkin
This is a companion paper of arXiv:1909.11492 and arXiv:1912.01930. We prove an equivalence relating representations of a degenerate orthosymplectic supergroup with the category of…
Gaiotto Conjecture for
Michael Finkelberg, Roman Travkin, Ruotao Yang
This paper is a part of the series proving the Gaiotto conjecture for basic classical quantum supergroups. The previous part arXiv:2107.02653 [math.RT] , arXiv:2306.09556 [math.RT]…