activity
20242026
collaborators

6 papers

math.AG2026

Relative Langlands duality and Koszul duality

Alexander Braverman, Michael Finkelberg, Roman Travkin

Consider a pair of -dual hyperspherical varieties and equipped with equivariant quantizations , . Assume…

math.RT2026

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…

math.NT2025

Hecke operators for curves over non-archimedean local fields and related finite rings

Alexander Braverman, David Kazhdan, Alexander Polishchuk +1

We study Hecke operators associated with curves over a non-archimedean local field and over the rings , where is the ring of integers. Our main…

math.AG2025

Coulomb branches of noncotangent type (with appendices by Gurbir Dhillon and Theo Johnson-Freyd)

Alexander Braverman, Gurbir Dhillon, Michael Finkelberg +2

We propose a construction of the Coulomb branch of a gauge theory corresponding to a choice of a connected reductive group and a symplectic finite-dimensio…

math.RT2025

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…

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…