Harmonic Analysis and l-adic sheaves

Publications

Other (30)

On tempered representations

Author(s): Pavel Etingof, David Kazhdan, Alexander Yom Din
Published in: accepted to Crelle's Journal, 2021
Publisher: arxiv

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

The Poincare line bundle and autoduality of Hitchin fibers

Author(s): Mao Li
Published in: 2020
Publisher: arXiv

Bongartz completion via c-vectors

Author(s): Peigen Cao, Yasuaki Gyoda, Toshiya Yurikusa
Published in: 2021
Publisher: arXiv

Linear subspaces of minimal codimension in hypersurfaces

Author(s): David Kazhdan, Alexander Polishchuk
Published in: 2021
Publisher: arxiv

Almost invariant subspaces and operators

Author(s): David Kazhdan, Alexander Polishchuk
Published in: 2021
Publisher: arxiv

Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves

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

Vertex operators, solvable lattice models and metaplectic Whittaker functions

Author(s): Ben Brubaker, Valentin Buciumas, Daniel Bump, Henrik Gustafsson
Published in: 2018
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

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

Author(s): Alexis Bouthier, David Kazhdan, Yakov Varshavsky
Published in: 2020
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

Schmidt rank of quartics over perfect fields

Author(s): David Kazhdan, Alexander Polishchuk
Published in: 2021
Publisher: arxiv

A summation formula for triples of quadratic spaces II

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

Characteristic functions of p-adic integral operators

Author(s): Pavel Etingof, David Kazhdan
Published in: 2021
Publisher: arxiv

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: accepted to GAFA, 2021
Publisher: arxiv

Hecke operators and analytic Langlands correspondence for curves over local fields

Author(s): Pavel Etingof, Edward Frenkel, David Kazhdan
Published in: 2021
Publisher: arxiv

Schmidt rank and singularities

Author(s): David Kazhdan, Alexander Polishchuk
Published in: 2021
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

Peer reviewed articles (24)

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, 2017, 2017, Page(s) 5897–5918, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnw190

Regularization of divergent integrals

Author(s): Giovanni Felder, David Kazhdan
Published in: Selecta Mathematica, 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, 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, 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, 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, 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, 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, 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, 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, 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, 52/2, 2019, Page(s) 337-365, ISSN 0012-9593
Publisher: Elsevier BV
DOI: 10.24033/asens.2389

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, 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, 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, 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, 22/4, 2016, Page(s) 2243-2269, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-016-0275-5

Gröbner cells of punctual Hilbert schemes in dimension two

Author(s): Ivan Cherednick
Published in: Journal of Algebra, 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, 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, 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, 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, vol. 34, No. 33, 2019, Page(s) 1039-1072, ISSN 1201-561X
Publisher: R. Rosebrugh

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

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

Conference proceedings (3)

Character values and Hochschild homology

Author(s): Roman Bezrukavnikov, David Kazhdan
Published in: Proceedings of Symposia in Pure Mathematics, 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, 103.2, 2021, Page(s) 137–202, ISBN 978-1-4704-5592-7
Publisher: American Mathematical Society