A. Braverman

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20242026

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4 papers · 1 filter

math.RT2026

Relative Langlands duality for $osp (2 n + 1∣2 n)$

Alexander Braverman, Michael Finkelberg, David Kazhdan +1

We establish an $S$ -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…

math.RT2025

Gaiotto conjecture for $R e p_{q} (G L (N - 1∣ N))$

Alexander Braverman, Michael Finkelberg, Roman Travkin

We prove D.Gaiotto's conjecture about geometric Satake equivalence for quantum supergroup $U_{q} (gl (N - 1∣ N))$ for generic $q$ . The equivalence goes through the category o…

math.RT2024

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…

math.RT2024

A fusion construction of local L-factors

Roman Bezrukavnikov, Alexander Braverman, Michael Finkelberg +1

We propose a new conjectural way to calculate the local $L$ -factor $L = L_{I ¨} (I ¨ , I ¨ , s)$ where $I ¨ $ is a representation of a $p$ -adic group $G$ , $I ¨ $ is an algebraic representation of…

Relative Langlands duality for osp(2n+1∣2n)

Gaiotto conjecture for Repq​(GL(N−1∣N))

Orthosymplectic Satake equivalence, II

A fusion construction of local L-factors

Relative Langlands duality for $osp (2 n + 1∣2 n)$

Gaiotto conjecture for $R e p_{q} (G L (N - 1∣ N))$