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19952024
most citedQuantization of Lie bialgebras, V

114 citations · 392 across the 84 of their papers we have counts for

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math.RT2024

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.RT2023

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

Alexander Braverman, David Kazhdan

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

math.RT2023

Fourier transform on a cone and the minimal representation of even orthogonal group

Nadya Gurevich, David Kazhdan

Let be an even orthogonal quasi-split group defined over a local non-archimedean field . We describe the subspace of smooth vectors of the minimal representation of …

math.RT2023★ 1 cited

A fusion construction of local L-factors

Roman Bezrukavnikov, Alexander Braverman, Michael Finkelberg +1

We propose a new conjectural way to calculate the local -factor where is a representation of a -adic group , is an algebraic representation of the d…

math.RT2022★ 1 cited

On irreps of a Hecke algebra of a non-reductive group

David Kazhdan, Alexander Yom Din

We study irreducible representations of the Hecke algebra of the pair where is a local non-Archimedean fie…

math.RT2021

Automorphic functions on moduli spaces of bundles on curves over local fields: a survey

Alexander Braverman, David Kazhdan

This paper is the written version of D.Kazhdan's plenary talk at ICM 2022. It is dedicated to an exposition of recent results and (mostly) conjectures attempting to construct an an…