A. Braverman

发表

Pursuing the double affine Grassmannian II: Convolution

M. Finkelberg, A. Braverman, 2009, 0908.3390.

Cyclotomic double affine Hecke algebras (with an appendix by Hiraku Nakajima and Daisuke Yamakawa)

P. Etingof, M. Finkelberg, A. Braverman, 2016, 1611.10216.

Large‐Scale Social Protest: A Business Risk and a Bureaucratic Opportunity

S. Gilad, A. Braverman, Saar Alon‐Barkat, 2016 .

Lectures on algebraic D-modules

A. Braverman, Tatyana Chmutova, 2022 .

Instanton moduli spaces and $\mathscr W$-algebras

M. Finkelberg, H. Nakajima, A. Braverman, 2014, 1406.2381.

INSTANTON MODULI SPACES AND W-ALGEBRAS

M. Finkelberg, H. Nakajima, A. Braverman, 2014 .

Coulomb Branches of 3-Dimensional Gauge Theories and Related Structures

M. Finkelberg, A. Braverman, 2018, Lecture Notes in Mathematics.

Ring objects in the equivariant derived Satake category arising from Coulomb branches

M. Finkelberg, H. Nakajima, A. Braverman, 2017, Advances in Theoretical and Mathematical Physics.

Pursuing the double affine Grassmannian I: transversal slices via instantons on A_k-singularities

M. Finkelberg, A. Braverman, 2007, 0711.2083.

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

M. Finkelberg, A. Braverman, 2011, 1111.2266.

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

P. Etingof, A. Braverman, 2004, math/0409441.

Quantum integrable systems and differential Galois theory

P. Etingof, D. Gaitsgory, A. Braverman, 1996, alg-geom/9607012.

81R12 Groups and algebras in quantum theory and relations with integrable systems 14H81 Relationships between algebraic curves and physics 55N91 Equivariant homology and cohomology in algebraic topology

M. Finkelberg, H. Nakajima, A. Braverman, 2021 .

Crystals via the affine Grassmannian

D. Gaitsgory, A. Braverman, 1999, math/9909077.

The Minimal Realization from Deformation Theory

A. Joseph, A. Braverman, 1998 .

Macdonald polynomials, Laumon spaces and perverse coherent sheaves

M. Finkelberg, J. Shiraishi, A. Braverman, 2012, 1206.3131.

Finite difference quantum Toda lattice via equivariant K-theory

M. Finkelberg, A. Braverman, 2005, math/0503456.

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

A. Braverman, 2006, math/0603454.

Uhlenbeck Spaces via Affine Lie Algebras

D. Gaitsgory, M. Finkelberg, A. Braverman, 2006 .

A G ] 1 8 M ar 2 00 6 Spaces of quasi-maps into the flag varieties and their applications

A. Braverman, 2006 .

A G ] 2 2 M ar 2 00 6 Spaces of quasi-maps into the flag varieties and their applications

A. Braverman, 2006 .

Modules over the small quantum group and semi-infinite flag manifold

D. Gaitsgory, R. Bezrukavnikov, I. Mirkovic, 2005, math/0505280.

Geometric Eisenstein series

D. Gaitsgory, A. Braverman, 1999 .

Poincaré–Birkhoff–Witt Theorem for Quadratic Algebras of Koszul Type

D. Gaitsgory, A. Braverman, 1994, hep-th/9411113.

Gamma-functions of representations and lifting

D. Kazhdan, V. Vologodsky, A. Braverman, 1999, math/9912208.

Quantum cohomology of the Springer resolution

A. Okounkov, D. Maulik, A. Braverman, 2009, 1001.0056.

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

A. Braverman, 2004, math/0401409.

Schwartz spaces, local L-factors and perverse sheaves

D. Kazhdan, R. Bezrukavnikov, M. Finkelberg, 2023, 2303.00913.

GLUING OF ABELIAN CATEGORIES AND DIFFERENTIAL OPERATORS ON THE BASIC AFFINE SPACE

R. Bezrukavnikov, A. Braverman, L. Positsel'skii, 2001, Journal of the Institute of Mathematics of Jussieu.

CARTAN DECOMPOSITION FOR COMPLEX LOOP GROUPS

D. Kazhdan, A. Braverman, 2014, Transformation Groups.

CARTAN DECOMPOSITION FOR COMPLEX LOOP GROUPS

D. Kazhdan, A. Braverman, 2014, 1402.1369.

Intersection cohomology of Drinfeld‚s compactifications

D. Gaitsgory, D. Gaitsgory, M. Finkelberg, 2000 .

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

R. Bezrukavnikov, A. Braverman, 2006, math/0602255.

γ-Functions of Representations and Lifting

D. Kazhdan, A. Braverman, 2010 .

Normalized intertwining operators and nilpotent elements in the Langlands dual group

D. Kazhdan, A. Braverman, 2002, math/0206119.

Normalized Intertwining Operators

D. Kazhdan, A. Braverman, 2002 .

On the Schwartz space of the basic affine space

D. Kazhdan, A. Braverman, 1998, math/9809112.

Orthosymplectic Satake equivalence

M. Finkelberg, A. Braverman, Roman Travkin, 2019, Communications in Number Theory and Physics.

Gaiotto conjecture for $Rep_q(GL(N-1|N))$

Michael Finkelberg, Alexander Braverman, Roman Travkin, 2021, 2107.02653.

Coulomb branches of $3d$ $\mathcal{N}=4$ quiver gauge theories and slices in the affine Grassmannian

M. Finkelberg, H. Nakajima, A. Braverman, 2016, Advances in Theoretical and Mathematical Physics.

LINE BUNDLES ON COULOMB BRANCHES

M. Finkelberg, H. Nakajima, A. Braverman, 2018 .

Some Examples of Hecke Algebras for Two-Dimensional Local Fields

D. Kazhdan, A. Braverman, 2006, Nagoya Mathematical Journal.

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

A. Polishchuk, A. Braverman, 1998, math/9810006.

An affine Gindikin-Karpelevich formula

D. Kazhdan, M. Patnaik, A. Braverman, 2012, 1212.6473.

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

D. Kazhdan, A. Braverman, 2012, 1205.0870.

Kac-Moody groups I

D. Kazhdan, A. Braverman, 2011 .

The spherical Hecke algebra for affine Kac-Moody groups I

D. Kazhdan, A. Braverman, 2008, 0809.1461.

Some examples of Hecke algebras over 2-dimensional local fields

D. Kazhdan, A. Braverman, 2005, math/0510538.

The Cohen-Macaulay property of the category of $ ({\frak g}, K) $-modules

J. Bernstein, D. Gaitsgory, A. Braverman, 1997 .

The Cohen-Macaulay property of the category of ( g , K )-modules

J. Bernstein, D. Gaitsgory, A. Braverman, 1997 .

Differential Galois groups and algebraic integrability of quantum integrable systems

P. Etingof, D. Gaitsgory, A. Braverman, 1996 .

Orthosymplectic Satake equivalence, II

M. Finkelberg, A. Braverman, Roman Travkin, 2022, 2207.03115.

Orthosymplectic Satake equivalence 2 1 . 2 . Further generalizations : general orthosymplectic case , quantum supergroups and exceptional supergroups 3 1

M. Finkelberg, A. Braverman, 2022 .

Some results about geometric Whittaker model

R. Bezrukavnikov, I. Mirkovic, A. Braverman, 2002, math/0210250.

This note summarizes some conjectures on the theme of quantum geometric Langlands cor- respondence, which arose in the course of discussions around October-November 2006 between

J. Lurie, A. Beilinson, D. Gaitsgory, 2007 .

A quasi-coherent description of the the category of D-mod(Gr$_{GL(n)}$)

M. Finkelberg, A. Braverman, 2018, 1809.10774.

Automorphic functions for nilpotent extensions of curves over finite fields

D. Kazhdan, A. Polishchuk, A. Braverman, 2023, 2303.16259.

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

D. Kazhdan, A. Braverman, 2021, 2112.08139.

A Finite Analog of the AGT Relation I: Finite W-Algebras and Quasimaps’ Spaces

B. Feigin, M. Finkelberg, A. Braverman, 2010, 1008.3655.

Line bundles over Coulomb branches

M. Finkelberg, H. Nakajima, A. Braverman, 2018, Advances in Theoretical and Mathematical Physics.

Mirabolic Satake equivalence and supergroups

V. Ginzburg, M. Finkelberg, A. Braverman, 2019, Compositio Mathematica.

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

Michael Finkelberg, Alexander Braverman, Gurbir Dhillon, 2022, 2201.09475.

On Euler characteristic of equivariant sheaves

A. Braverman, 2002, math/0202165.

Twisted zastava and q ‐Whittaker functions

Michael Finkelberg, Alexander Braverman, M. Finkelberg, 2014, J. Lond. Math. Soc..

Gamma sheaves on reductive groups

D. Kazhdan, A. Braverman, 2001, math/0109033.

Fe b 20 02 ON EULER CHARACTERISTIC OF EQUIVARIANT SHEAVES

A. Braverman, 2008 .

γ-Sheaves on Reductive Groups

D. Kazhdan, A. Braverman, 2003 .

Weyl modules and $$q$$q-Whittaker functions

M. Finkelberg, A. Braverman, 2012, 1203.1583.

Iwahori–Hecke algebras for p-adic loop groups

D. Kazhdan, M. Patnaik, A. Braverman, 2015, Inventiones mathematicae.

Iwahori–Hecke algebras for p-adic loop groups

D. Kazhdan, M. Patnaik, A. Braverman, 2014, 1403.0602.

Pursuing the double affine Grassmannian III: Convolution with affine Zastava

M. Finkelberg, A. Braverman, 2010, 1010.3499.

Algebras of Koszul Type

D. Gaitsgory, A. Braverman, 1996 .

Geometry of Moduli Spaces and Representation Theory

R. Bezrukavnikov, A. Braverman, Zhiwei Yun, 2017 .

Deformations of Local Systems and Eisenstein Series

D. Gaitsgory, A. Braverman, 2006, math/0605139.

INTRODUCTION TO ALGEBRAIC D-MODULES

P. Etingof, A. Braverman, Tatyana Chmutova, 2017 .

Remarks on the Asymptotic Hecke Algebra

D. Kazhdan, A. Braverman, 2017, 1704.03019.

On Ginzburg’s lagrangian construction of representations of $GL(n)$

D. Gaitsgory, A. Braverman, 1999 .