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papers

Publications (41)

math.AG2012

Pursuing the double affine Grassmannian III: Convolution with affine Zastava

Alexander Braverman, Michael Finkelberg

math.RT2018

Coulomb branches of $3d$ $\mathcal N=4$ quiver gauge theories and slices in the affine Grassmannian (with appendices by Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, and Alex Weekes)

Alexander Braverman, Michael Finkelberg, Hiraku Nakajima

math.RT2018

Bernstein components via Bernstein center

Alexander Braverman, David Kazhdan, Roman Bezrukavnikov

math.AG2006

Geometric Langlands correspondence for D-modules in prime characteristic: the GL(n) case

Roman Bezrukavnikov, Alexander Braverman

math.AG2002

Gamma sheaves on reductive groups

Alexander Braverman, David Kazhdan

math.AG2018

Coulomb branches of 3-dimensional gauge theories and related structures

Alexander Braverman, Michael Finkelberg

math.AG1998

Kazhdan-Laumon representations of finite Chevalley groups, character sheaves and some generalization of the Lefschetz-Verdeier trace formula

Alexander Braverman, Alexander Polishchuk

math.AG2013

Macdonald polynomials, Laumon spaces and perverse coherent sheaves

Alexander Braverman, Michael Finkelberg, Jun'ichi Shiraishi

math.AG2012

A finite analog of the AGT relation I: finite W-algebras and quasimaps' spaces

Alexander Braverman, Boris Feigin, Leonid Rybnikov +1

math.RT2010

The spherical Hecke algebra for affine Kac-Moody groups I

Alexander Braverman, David Kazhdan

math.RT2002

Normalized intertwining operators and nilpotent elements in the Langlands dual group

Alexander Braverman, David Kazhdan

math.AG2010

Quantum cohomology of the Springer resolution

Alexander Braverman, Davesh Maulik, Andrei Okounkov

math.AG1998

On the Schwartz space of the basic affine space

Alexander Braverman, David Kazhdan

hep-th1994

The Poincare-Birkhoff-Witt theorem for quadratic algebras of Koszul type

Alexander Braverman, Dennis Gaitsgory

math.AG2017

Semi-infinite Schubert varieties and quantum K-theory of flag manifolds

Alexander Braverman, Michael Finkelberg

math.RT2011

Affine Gindikin-Karpelevich formula via Uhlenbeck spaces

Alexander Braverman, Michael Finkelberg, David Kazhdan

math.AG2004

Instanton counting via affine Lie algebras I: Equivariant J-functions of (affine) flag manifolds and Whittaker vectors

Alexander Braverman

math.AG2005

Instanton counting via affine Lie algebras II: from Whittaker vectors to the Seiberg-Witten prepotential

Alexander Braverman, Pavel Etingof

alg-geom2002

Quantum integrable systems and differential Galois theory

Alexander Braverman, Pavel Etingof, Dennis Gaitsgory

math.RT2006

Relation between two geometrically defined bases in representations of $GL_n$

Alexander Braverman, Dennis Gaitsgory, Maxim Vybornov

math.AG2017

Twisted zastava and $q$-Whittaker functions

Alexander Braverman, Michael Finkelberg

math.RT2005

Some examples of Hecke algebras over 2-dimensional local fields

Alexander Braverman, David Kazhdan

math.QA2016

Instanton moduli spaces and $\mathscr W$-algebras

Alexander Braverman, Michael Finkelberg, Hiraku Nakajima

math.RT2014

Iwahori-Hecke algebras for p-adic loop groups

Alexander Braverman, David Kazhdan, Manish Patnaik

math.AG2000

Gamma-functions of representations and lifting

Alexander Braverman, David Kazhdan, V. Vologodsky

math.AG2002

On Euler Characteristic of equivariant sheaves

Alexander Braverman

math.AG2015

Gaiotto-Witten superpotential and Whittaker D-modules on monopoles

Alexander Braverman, Galyna Dobrovolska, Michael Finkelberg

math.RT2018

Remarks on the asymptotic Hecke algebra

Alexander Braverman, David Kazhdan

math.RT2012

Representations of affine Kac-Moody groups over local and global fields: a survey of some recent results

Alexander Braverman, David Kazhdan

math.AG2014

Finite difference quantum Toda lattice via equivariant K-theory

Alexander Braverman, Michael Finkelberg

math.RT2011

Dynamical Weyl groups and equivariant cohomology of transversal slices in affine Grassmannians

Alexander Braverman, Michael Finkelberg

math.RT2017

Weyl modules and q-Whittaker functions

Alexander Braverman, Michael Finkelberg

math.RT2001

Gluing of abelian categories and differential operators on the basic affine space

Roman Bezrukavnikov, Alexander Braverman, Leonid Positselskii

math.AG2000

Crystals via the affine Grassmannian

Alexander Braverman, Dennis Gaitsgory

alg-geom1997

Tempered currents and the cohomology of the remote fiber of a real polynomial map

Alexander Braverman, Maxim Braverman

math.RT2014

Cartan decomposition for complex loop groups

Alexander Braverman, David Kazhdan

math.RT2012

An affine Gindikin-Karpelevich formula

Alexander Braverman, Howard Garland, David Kazhdan +1

hep-th1994

On quantum flag algebras

Alexander Braverman

math.AG2011

Pursuing the double affine Grassmannian II: Convolution

Alexander Braverman, Michael Finkelberg

math.RT2018

Schwartz space of parabolic basic affine space and asymptotic Hecke algebras

Alexander Braverman, David Kazhdan

math.AG2006

Spaces of quasi-maps into the flag varieties and their applications

Alexander Braverman