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1

Geometric Realization of Whittaker Functions and the Langlands Conjecture

E. Frenkel, D. Gaitsgory, D. Kazhdan and K. Vilonen

Journal:

Journal of the American Mathematical Society

Year:

1998

Language:

english

File:

PDF, 687 KB

english, 1998

2

Parameters and duality for the metaplectic geometric Langlands theory

Gaitsgory, D., Lysenko, S.

Journal:

Selecta Mathematica

Year:

2018

Language:

english

File:

PDF, 823 KB

english, 2018

3

The Gerbe Of Higgs Bundles

R. Y. Donagi, D. Gaitsgory Gaitsgory

Journal:

Transformation Groups

Year:

2002

Language:

english

File:

PDF, 545 KB

english, 2002

4

An Introduction to the Langlands Program || Tate’s Thesis

Bump, D., Cogdell, J. W., de Shalit, E., Gaitsgory, D., Kowalski, E., Kudla, S. S., Bernstein, Joseph, Gelbart, Stephen

Year:

2004

Language:

english

File:

PDF, 1.63 MB

english, 2004

5

Weil's Conjecture for Function Fields (Volume I (AMS-199)) || Chapter Four. Computing the Trace of Frobenius

Gaitsgory, Dennis, Lurie, Jacob

Year:

2019

File:

PDF, 310 KB

2019

6

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

Alexander Braverman, Dennis Gaitsgory

Journal:

Journal of Algebra

Year:

1996

Language:

english

File:

PDF, 185 KB

english, 1996

7

On Some Finiteness Questions for Algebraic Stacks

Vladimir Drinfeld,Dennis Gaitsgory

Journal:

Geometric And Functional Analysis

Year:

2013

Language:

english

File:

PDF, 1.21 MB

english, 2013

8

Whittaker Patterns in the Geometry of Moduli Spaces of Bundles on Curves

E. Frenkel, D. Gaitsgory and K. Vilonen

Journal:

Annals of Mathematics

Year:

2001

Language:

english

File:

PDF, 2.93 MB

english, 2001

9

10.1090/S0894-0347-98-00260-4

Frenkel, E., Gaitsgory, D., Kazhdan, D., Vilonen, K.

Journal:

Journal of the American Mathematical Society

Year:

1998

Language:

english

File:

PDF, 536 KB

english, 1998

10

Weil's Conjecture for Function Fields (Volume I (AMS-199)) || Frontmatter

Gaitsgory, Dennis, Lurie, Jacob

Year:

2019

Language:

english

File:

PDF, 56 KB

english, 2019

11

Weil's Conjecture for Function Fields (Volume I (AMS-199)) || Contents

Gaitsgory, Dennis, Lurie, Jacob

Year:

2019

File:

PDF, 157 KB

2019

12

Another realization of the category of modules over the small quantum group

Sergey Arkhipov, Dennis Gaitsgory

Journal:

Advances in Mathematics

Year:

2003

Language:

english

File:

PDF, 282 KB

english, 2003

13

Erratum to: Intersection cohomology of Drinfeld’s compactifications (Sel. math., New ser. 8 (2002), 381–418)

A. Braverman, M. Finkelberg, D. Gaitsgory, I. Mirković

Journal:

Selecta Mathematica

Year:

2004

Language:

english

File:

PDF, 85 KB

english, 2004

14

Representations of algebraic groups over a 2-dimensional local field

Dennis Gaitsgory, David Kazhdan

Journal:

Geometric And Functional Analysis

Year:

2004

Language:

english

File:

PDF, 438 KB

english, 2004

15

A corollary of the b-function lemma

A. Beilinson, D. Gaitsgory

Journal:

Selecta Mathematica

Year:

2012

Language:

english

File:

PDF, 188 KB

english, 2012

16

On the Geometric Langlands Conjecture

E. Frenkel, D. Gaitsgory and K. Vilonen

Journal:

Journal of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 4.89 MB

english, 2002

17

Control of singularly perturbed hybrid stochastic systems

Filar, J.A., Gaitsgory, V., Haurie, A.B.

Journal:

IEEE Transactions on Automatic Control

Year:

2001

Language:

english

File:

PDF, 305 KB

english, 2001

18

D-modules on the affine Grassmannian and representations of affine Kac-Moody algebras

Gaitsgory, Dennis, Frenkel, Edward

Journal:

Duke Mathematical Journal

Year:

2004

Language:

english

File:

PDF, 408 KB

english, 2004

19

Geometric realizations of Wakimoto modules at the critical level

Frenkel, Edward, Gaitsgory, Dennis

Journal:

Duke Mathematical Journal

Year:

2008

Language:

english

File:

PDF, 938 KB

english, 2008

20

Geometric constant term functor(s)

Drinfeld, Vladimir, Gaitsgory, Dennis

Journal:

Selecta Mathematica

Year:

2016

Language:

english

File:

PDF, 1003 KB

english, 2016

21

A tribute to Sasha Beilinson

Finkelberg, Michael, Gaitsgory, Dennis, Goncharov, Alexander, Polishchuk, Alexander

Journal:

Selecta Mathematica

Year:

2018

Language:

english

File:

PDF, 134 KB

english, 2018

22

Uhlenbeck spaces for $\Bbb A\sp 2$ and affine Lie algebra $\widehat{\germ s\germ l}\sb n$

Finkelberg, Michael, Gaitsgory, Dennis, Kuznetsov, Alexander

Journal:

Publications of the Research Institute for Mathematical Sciences

Year:

2003

Language:

english

File:

PDF, 490 KB

english, 2003

23

-modules

Gaitsgory, Dennis, Yom Din, Alexander

Journal:

Advances in Mathematics

Year:

2018

Language:

english

File:

PDF, 673 KB

english, 2018

24

Weil's Conjecture for Function Fields (Volume I (AMS-199)) || Chapter Two. The Formalism of ℓ-adic Sheaves

Gaitsgory, Dennis, Lurie, Jacob

Year:

2019

File:

PDF, 605 KB

2019

25

Weil's Conjecture for Function Fields (Volume I (AMS-199)) || Chapter Three. Eâ-Structures on â-Adic Cohomology

Gaitsgory, Dennis, Lurie, Jacob

Year:

2019

File:

PDF, 549 KB

2019

26

Existence and Uniqueness of the R-Matrix in Quantum Groups

Journal:

Journal of Algebra

Year:

1995

File:

PDF, 505 KB

1995

27

Perturbation theory for mathematical programming problems

V. A. Gaitsgory, A. A. Pervozvanskii

Journal:

Journal of Optimization Theory and Applications

Year:

1986

Language:

english

File:

PDF, 969 KB

english, 1986

28

Aggregation of states in a Markov chain with weak interaction

V. G. Gaitsgori, A. A. Pervozvanskii

Journal:

Cybernetics and Systems Analysis

Year:

1975

Language:

english

File:

PDF, 635 KB

english, 1975

29

Quantum integrable systems and differential Galois theory

A. Braverman, P. Etingof, D. Gaitsgory

Journal:

Transformation Groups

Year:

1997

Language:

english

File:

PDF, 1.30 MB

english, 1997

30

Intersection cohomology of Drinfeld‚s compactifications

A. Braverman, M. Finkelberg, D. Gaitsgory, I. Mirković

Journal:

Selecta Mathematica

Year:

2002

Language:

english

File:

PDF, 468 KB

english, 2002

31

Twisted Whittaker model and factorizable sheaves

Journal:

Selecta Mathematica

Year:

2008

Language:

english

File:

PDF, 644 KB

english, 2008

32

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

J. Bernstein, A. Braverman, D. Gaitsgory

Journal:

Selecta Mathematica

Year:

1997

Language:

english

File:

PDF, 319 KB

english, 1997

33

Chiral Koszul duality

John Francis, Dennis Gaitsgory

Journal:

Selecta Mathematica

Year:

2012

Language:

english

File:

PDF, 535 KB

english, 2012

34

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

S. Arkhipov, R. Bezrukavnikov, A. Braverman, D. Gaitsgory, I. Mirkovic

Journal:

Transformation Groups

Year:

2005

Language:

english

File:

PDF, 742 KB

english, 2005

35

Deformations of Local Systems and Eisenstein Series

Alexander Braverman, Dennis Gaitsgory

Journal:

Geometric And Functional Analysis

Year:

2008

Language:

english

File:

PDF, 627 KB

english, 2008

36

Geometric Eisenstein series

A. Braverman, D. Gaitsgory

Journal:

Inventiones mathematicae

Year:

2002

Language:

english

File:

PDF, 811 KB

english, 2002

37

Construction of central elements in the affine Hecke algebra via nearby cycles

Journal:

Inventiones mathematicae

Year:

2001

Language:

english

File:

PDF, 257 KB

english, 2001

38

A folk theorem for dynamic games

Vladimir Gaitsgory, Shmuel Nitzan

Journal:

Journal of Mathematical Economics

Year:

1994

Language:

english

File:

PDF, 655 KB

english, 1994

39

Grothendieck topologies and deformation Theory II

Journal:

Compositio Mathematica

Year:

1997

Language:

english

File:

PDF, 199 KB

english, 1997

40

Advances in Dynamic Games and Their Applications || Linear Quadratic Differential Games: An Overview

Pourtallier, Odile, Gaitsgory, Vladimir, Bernhard, Pierre

Year:

2009

Language:

english

File:

PDF, 699 KB

english, 2009

41

Contractibility of the space of rational maps

Dennis Gaitsgory

Journal:

Inventiones mathematicae

Year:

2013

Language:

english

File:

PDF, 2.46 MB

english, 2013

42

Stability and singular perturbations in constrained Markov decision problems

E. Altman, V. Gaitsgory

Journal:

IEEE Transactions on Automatic Control

Year:

1993

Language:

english

File:

PDF, 587 KB

english, 1993

43

ON A THEOREM OF BRADEN

DRINFELD, V., GAITSGORY, D.

Journal:

Transformation Groups

Year:

2014

Language:

english

File:

PDF, 441 KB

english, 2014

44

Suboptimal control of singularly perturbed systems and periodic optimization

Journal:

IEEE Transactions on Automatic Control

Year:

1993

Language:

english

File:

PDF, 1.28 MB

english, 1993

45

A new reduction technique for a class of singularly perturbed optimal control problems

Journal:

IEEE Transactions on Automatic Control

Year:

1995

Language:

english

File:

PDF, 416 KB

english, 1995

46

Singular support of coherent sheaves and the geometric Langlands conjecture

Arinkin, D., Gaitsgory, D.

Journal:

Selecta Mathematica

Year:

2015

Language:

english

File:

PDF, 1.46 MB

english, 2015

47

On a Vanishing Conjecture Appearing in the Geometric Langlands Correspondence

Journal:

Annals of Mathematics

Year:

2004

Language:

english

File:

PDF, 1.20 MB

english, 2004

48

Functors given by kernels, adjunctions and duality

Gaitsgory, Dennis

Journal:

Journal of Algebraic Geometry

Year:

2016

Language:

english

File:

PDF, 759 KB

english, 2016

49

The Mathematics of Joseph Bernstein

Bezrukavnikov, Roman, Braverman, Alexander, Finkelberg, Michael, Gaitsgory, Dennis

Journal:

Selecta Mathematica

Year:

2016

Language:

english

File:

PDF, 395 KB

english, 2016

50

10.1090/S0894-0347-01-00388-5

Frenkel, E., Gaitsgory, D., Vilonen, K.

Journal:

Journal of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 693 KB

english, 2002