Harmonic Analysis and l-adic sheaves

On tempered representations

Author(s): David Kazhdan, Alexander Yom Din
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), Issue 00754102, 2022, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2022-0019

The Poincare line bundle and autoduality of Hitchin fibers

Author(s): Mao Li
Published in: Selecta Mathematica, Issue 28, 2022, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-022-00763-5

Bongartz completion via c-vectors

Author(s): Peigen Cao, Yasuaki Gyoda, Toshiya Yurikusa
Published in: International Mathematics Research Notices, rnac205, Issue 10737928, 2022, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnac205

The local and global versions of the Whittaker category

Author(s): Dennis Gaitsgory
Published in: Pure and Applied Mathematics Quarterly, 2020, ISSN 1558-8599
Publisher: International Press
DOI: 10.4310/pamq.2020.v16.n3.a14

Lusztig conjectures on S-cells in affine Weyl groups

Author(s): Michael Finkelberg, David Kazhdan, Yakov Varshavsky
Published in: Israel Journal of Mathematics, 2021, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-021-2270-6

Divergent integrals, residues of Dolbeault forms, and asymptotic Riemann mappings

Author(s): Giovanni Felder, David Kazhdan
Published in: IMRN, Issue 2017, 2017, Page(s) 5897–5918, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnw190

A general framework and examples of the analytic Langlands correspondence

Author(s): Pavel Etingof, Edward Frenkel, David Kazhdan
Published in: Pure and Applied Mathematics Quarterly, 2024, ISSN 1558-8599
Publisher: International Press

Hecke eigenvalues in p-modular representations of unramified U(2, 1)

Author(s): Peng Xu
Published in: Proceedings of the American Mathematical Society, Issue 153(2025), 2025, Page(s) 437-450, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/17042

A construction of projective bases for irreducible representations of multiplicative groups of division algebras over local fields

Author(s): David Kazhdan
Published in: Selecta Mathematica, Issue 14209020, 2019, ISSN 1420-9020
Publisher: Springer
DOI: 10.1007/s00029-019-0507-6

Regularization of divergent integrals

Author(s): Giovanni Felder, David Kazhdan
Published in: Selecta Mathematica, Issue 24, 2018, Page(s) 157–186, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-017-0323-9

A spectral decomposition of orbital integrals for PGL(2, F) (with an appendix by S. Debacker)

Author(s): David Kazhdan
Published in: Selecta Mathematica, Issue 24/1, 2018, Page(s) 473-497, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-017-0321-y

Deligne–Lusztig duality and wonderful compactification

Author(s): Joseph Bernstein, Roman Bezrukavnikov, David Kazhdan
Published in: Selecta Mathematica, Issue 24/1, 2018, Page(s) 7-20, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-018-0391-5

Bernstein components via the Bernstein center

Author(s): Alexander Braverman, David Kazhdan
Published in: Selecta Mathematica, Issue 22/4, 2016, Page(s) 2313-2323, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-016-0277-3

Iwahori–Hecke algebras for p-adic loop groups

Author(s): Alexander Braverman, David Kazhdan, Manish M. Patnaik
Published in: Inventiones mathematicae, Issue 204/2, 2016, Page(s) 347-442, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-015-0612-x

The abstract cotangent complex and Quillen cohomology of enriched categories

Author(s): Yonatan Harpaz, Joost Nuiten, Matan Prasma
Published in: Journal of Topology, Issue 11/3, 2018, Page(s) 752-798, ISSN 1753-8416
Publisher: Oxford University Press
DOI: 10.1112/topo.12074

Categorical actions and multiplicities in the Deligne category R e p _ ( G L t

Author(s): Inna Entova-Aizenbud
Published in: Journal of Algebra, Issue 504, 2018, Page(s) 391-431, ISSN 0021-8693
Publisher: Academic Press
DOI: 10.1016/j.jalgebra.2018.02.016

Translation functors and decomposition numbers for the periplectic Lie superalgebra $\mathfrak{p}(n)$

Author(s): M. Balagovic, Z. Daugherty, I. Entova-Aizenbud, I. Halacheva, J. Hennig, M.S. Im, G. Letzter, E. Norton, V. Serganova, C. Stroppel
Published in: Mathematical Research Letters, Issue 26/3, 2019, Page(s) 643-710, ISSN 1073-2780
Publisher: Mathematical Publishing
DOI: 10.4310/mrl.2019.v26.n3.a2

Deligne Categories and the Limit of Categories $\operatorname{\mathbf{Rep}}\!\boldsymbol{(GL(m|n))}$

Author(s): Inna Entova-Aizenbud, Vladimir Hinich, Vera Serganova
Published in: International Mathematics Research Notices, 2018, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rny144

Tangent categories of algebras over operads

Author(s): Yonatan Harpaz, Joost Nuiten, Matan Prasma
Published in: Israel Journal of Mathematics, Issue 234/2, 2019, Page(s) 691-742, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-019-1933-z

Skeletons and moduli of Stokes torsors

Author(s): Jean-Baptiste TEYSSIER
Published in: Annales scientifiques de l'École normale supérieure, Issue 52/2, 2019, Page(s) 337-365, ISSN 0012-9593
Publisher: Elsevier BV
DOI: 10.24033/asens.2389

Vertex Operators, Solvable Lattice Models and Metaplectic Whittaker Functions

Author(s): Ben Brubaker, Valentin Buciumas, Daniel Bump, Henrik Gustafsson
Published in: Communications in Mathematical Physics, Issue 380, 2020, Page(s) 535–579, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03842-w

A Yang–Baxter equation for metaplectic ice

Author(s): Ben Brubaker, Valentin Buciumas, Daniel Bump, Nathan Gray
Published in: Communications in Number Theory and Physics, Issue 13/1, 2019, Page(s) 101-148, ISSN 1931-4523
Publisher: International Press of Boston, Inc.
DOI: 10.4310/cntp.2019.v13.n1.a4

The affine VW supercategory

Author(s): M. Balagović, Z. Daugherty, I. Entova-Aizenbud, I. Halacheva, J. Hennig, M. S. Im, G. Letzter, E. Norton, V. Serganova, C. Stroppel
Published in: Selecta Mathematica, Issue 26/2, 2020, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-020-0541-4

On the depth r Bernstein projector

Author(s): Roman Bezrukavnikov, David Kazhdan, Yakov Varshavsky
Published in: Selecta Mathematica, Issue 22/4, 2016, Page(s) 2271-2311, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-016-0278-2

Geometric approach to parabolic induction

Author(s): David Kazhdan, Yakov Varshavsky
Published in: Selecta Mathematica, Issue 22/4, 2016, Page(s) 2243-2269, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-016-0275-5

Perverse sheaves on infinite-dimensional stacks, and affine Springer theory

Author(s): Alexis Bouthier, David Kazhdan, Yakov Varshavsky
Published in: Advances in Mathematics, Issue 00018708, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108572

Gröbner cells of punctual Hilbert schemes in dimension two

Author(s): Ivan Cherednick
Published in: Journal of Algebra, Issue 597, 2022, Page(s) 205-240, ISSN 0021-8693
Publisher: Academic Press
DOI: 10.1016/j.jalgebra.2022.01.012

Regularity of the superstring supermeasure and the superperiod map

Author(s): Giovanni Felder, David Kazhdan, Alexander Polishchuk
Published in: Selecta Mathematica, Issue 28, 2022, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-021-00727-1

A toy model for the Drinfeld-Lafforgue shtuka construction

Author(s): D. Gaitsgory, D. Kazhdan, N. Rozenblyum, Y. Varshavsky
Published in: Indagationes Mathematicae, Issue Volume 33, Issue 1, 2022, ISSN 0019-3577
Publisher: Elsevier BV
DOI: 10.1016/j.indag.2021.11.002

Scattering amplitude annihilators

Author(s): Andrea Nützi, Michael Reiterer
Published in: Journal of High Energy Physics, Issue 2020/2, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep02(2020)020

The tangent bundle of a model category

Author(s): Yonatan Harpaz, Joost Nuiten, Matan Prasma
Published in: Theory and Applications of Categories, Issue vol. 34, No. 33, 2019, Page(s) 1039-1072, ISSN 1201-561X
Publisher: R. Rosebrugh

Characteristic functions of p-adic integral operators

Author(s): Pavel Etingof, David Kazhdan
Published in: Contemporary Mathematics, Hypergeometry, integrability and Lie theory, Issue 02714132, 2022, Page(s) 1-27, ISSN 0271-4132
Publisher: AMS
DOI: 10.1090/conm/780/15685

Differential operators on G/U and the Gelfand-Graev action

Author(s): Victor Ginzburg, David Kazhdan
Published in: Advances in Mathematics, Issue Volume 403, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108368

Analytic Langlands correspondence for PGL(2) on P^1 with parabolic structures over local fields

Author(s): Pavel Etingof, Edward Frenkel, David Kazhdan
Published in: Geometric and Functional Analysis, Issue 1016443X, 2022, ISSN 1016-443X
Publisher: Birkhauser Verlag
DOI: 10.1007/s00039-022-00603-w

Automorphic functions as the trace of Frobenius

Author(s): D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin, N. Rozenblyum, Y. Varshavsky
Published in: 2021
Publisher: arxiv

Relative left Bongartz completions and their compatibility with mutations

Author(s): Peigen Cao, Yu Wang, Houjun Zhang
Published in: 2022
Publisher: arxiv

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

Author(s): David Kazhdan, Alexander Yom Din
Published in: 2022
Publisher: arxiv

On Leclerc's conjectural cluster structures for open Richardson varieties

Author(s): Peigen Cao, Bernhard Keller
Published in: 2022
Publisher: arxiv

Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves

Author(s): Mao Li, Hao Sun
Published in: 2021
Publisher: arXiv

On finite dimensionality of homology of subalgebras of vector fields

Author(s): Boris Feigin, Alexei Kanel-Belov, Anton Khoroshkin
Published in: 2022
Publisher: arxiv

The valuation pairing on an upper cluster algebra

Author(s): Peigen Cao, Bernhard Keller, Fan Qin
Published in: 2022
Publisher: arxiv

Summation formulae for quadrics

Author(s): Jayce R. Getz
Published in: 2022
Publisher: arxiv

The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support

Author(s): D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin, N. Rozenblyum, Y. Varshavsky
Published in: 2020
Publisher: arxiv

On certain Iwahori representations of unramified U(2,1) in characteristic p

Author(s): Peng Xu
Published in: 2017
Publisher: arXiv

On the pro-p-Iwahori invariants of supersingular representations of unramified U(2,1)

Author(s): Peng Xu
Published in: 2018
Publisher: arXiv

Alexander type invariants of tangles

Author(s): Iva Halacheva
Published in: 2016
Publisher: arXiv

On triple product L-functions

Author(s): Jayce R. Getz
Published in: 2019
Publisher: arXiv

Quantum geometry of moduli spaces of local systems and representation theory

Author(s): Alexander Goncharov, Linhui Shen
Published in: 2019
Publisher: arXiv

Semiglobal non-oscillatory big bang singular spacetimes for the Einstein-scalar field system

Author(s): Andrea Nützi, Michael Reiterer, Eugene Trubowitz
Published in: 2020
Publisher: arXiv

A homotopy BV algebra for Yang-Mills and color-kinematics

Author(s): Michael Reiterer
Published in: 2019
Publisher: arXiv

On certain Iwahori–Hecke modules of GL3 in characteristic p

Author(s): Peng Xu
Published in: 2020
Publisher: arXiv

Restriction of p-modular representations of U(2,1) to a Borel subgroup

Author(s): Peng Xu
Published in: 2019
Publisher: arXiv

The Fourier transform for triples of quadratic spaces

Author(s): Jayce R. Getz, Chun-Hsien Hsu
Published in: 2020
Publisher: arxiv

Harmonic analysis on certain spherical varieties

Author(s): Jayce R. Getz, Chun-Hsien Hsu, Spencer Leslie
Published in: 2021
Publisher: arxiv

The moduli space of stable supercurves and its canonical line bundle

Author(s): Giovanni Felder, David Kazhdan, Alexander Polishchuk
Published in: 2020
Publisher: arxiv

On exchange matrices from string diagrams

Author(s): Peigen Cao
Published in: 2022
Publisher: arxiv

Duality for automorphic sheaves with nilpotent singular support

Author(s): D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin, N. Rozenblyum, Y. Varshavsky
Published in: 2020
Publisher: arxiv

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

Author(s): Alexander Braverman, David Kazhdan
Published in: accepted to ICM (International Congress of Mathematicians) 2022 St. Petersburg, 2021
Publisher: arxiv

Character values and Hochschild homology

Author(s): Roman Bezrukavnikov, David Kazhdan
Published in: Proceedings of Symposia in Pure Mathematics, Issue vol 101, 2019, Page(s) 1-31
Publisher: American Mathematical Society

Schwartz space of parabolic basic affine space and asymptotic Hecke algebras

Author(s): Alexander Braverman, David Kazhdan
Published in: """Representations of Reductive Groups""", 2018
Publisher: American Mathematical Society

An analytic version of the Langlands correspondence for complex curves

Author(s): Pavel Etingof, Edward Frenkel, David Kazhdan
Published in: Proceedings of Symposia in Pure Mathematics, Integrability, quantization, and geometry. II Quantum Theories and Algebraic Geometry, Issue 103.2, 2021, Page(s) 137–202, ISBN 978-1-4704-5592-7
Publisher: American Mathematical Society

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

Author(s): Alexander Braverman, David Kazhdan
Published in: ICM International Congress of Mathematicians 2022 July 6-14, 2023
Publisher: EMS press
DOI: 10.4171/icm2022/167

Remarks on the Asymptotic Hecke Algebra

Author(s): Alexander Braverman, David Kazhdan
Published in: Lie Groups, Geometry, and Representation Theory, 2018, Page(s) 91-108, ISSN 0743-1643
Publisher: Birkhäuser Cham
DOI: 10.1007/978-3-030-02191-7_4

Hecke operators and analytic Langlands correspondence for curves over local fields

Author(s): Pavel Etingof, Edward Frenkel, David Kazhdan
Published in: DUKE MATHEMATICAL JOURNAL, Issue Vol. 172, No. 11, 2023, Page(s) 2015-2071, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.1215/00127094-2022-0068

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