A. Braverman

activity

19942026

most citedTowards a mathematical definition of Coulomb branches of

3

-dimensional

N = 4

gauge theories, II

194 citations · 575 across the 53 of their papers we have counts for

collaborators

62 papers

math.AG2026

Relative Langlands duality and Koszul duality

Alexander Braverman, Michael Finkelberg, Roman Travkin

Consider a pair of $S$ -dual hyperspherical varieties $G ↻ X$ and $G^{\lor} ↻ X^{\lor}$ equipped with equivariant quantizations $Q (X)$ , $Q (X^{\lor})$ . Assume…

math.RT2024

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.AG2024

Schwartz $κ$ -densities for the moduli stack of rank $2$ bundles on a curve over a local field

Alexander Braverman, David Kazhdan, Alexander Polishchuk

Let $Bun$ be the moduli stack of rank $2$ bundles with fixed determinant on a smooth proper curve $C$ over a local field $F$ . We show how to associate with a Schwartz $κ$ -dens…

math.RT2023

Hecke algebras for the 1st congruence subgroup and bundles on $P^{1}$ I: the case of finite field

Alexander Braverman, David Kazhdan

Let $G$ be a split reductive group over a finite field $k$ . In this note we study the space $V$ of finitely supported functions on the set of isomorphism classes $G$ -bundles on the…

math.NT2023

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 $K$ and over the rings $O / m^{N}$ , where $O \subset K$ is the ring of integers. Our main…

math.NT2023★ 1 cited

Automorphic functions for nilpotent extensions of curves over finite fields

Alexander Braverman, David Kazhdan, Alexander Polishchuk

We define and study the subspace of cuspidal functions for $G$ -bundles on a class of nilpotent extensions $C$ of curves over a finite field. We show that this subspace is preserved…

Relative Langlands duality and Koszul duality

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

Schwartz κ-densities for the moduli stack of rank 2 bundles on a curve over a local field

Hecke algebras for the 1st congruence subgroup and bundles on P1 I: the case of finite field

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

Automorphic functions for nilpotent extensions of curves over finite fields

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

Schwartz $κ$ -densities for the moduli stack of rank $2$ bundles on a curve over a local field

Hecke algebras for the 1st congruence subgroup and bundles on $P^{1}$ I: the case of finite field