Harmonic Analysis and l-adic sheaves

On tempered representations

Autores: David Kazhdan, Alexander Yom Din
Publicado en: Journal für die reine und angewandte Mathematik (Crelles Journal), Edición 00754102, 2022, ISSN 0075-4102
Editor: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2022-0019

The Poincare line bundle and autoduality of Hitchin fibers

Autores: Mao Li
Publicado en: Selecta Mathematica, Edición 28, 2022, ISSN 1022-1824
Editor: Birkhauser Verlag
DOI: 10.1007/s00029-022-00763-5

Bongartz completion via c-vectors

Autores: Peigen Cao, Yasuaki Gyoda, Toshiya Yurikusa
Publicado en: International Mathematics Research Notices, rnac205, Edición 10737928, 2022, ISSN 1073-7928
Editor: Oxford University Press
DOI: 10.1093/imrn/rnac205

The local and global versions of the Whittaker category

Autores: Dennis Gaitsgory
Publicado en: Pure and Applied Mathematics Quarterly, 2020, ISSN 1558-8599
Editor: International Press
DOI: 10.4310/pamq.2020.v16.n3.a14

Lusztig conjectures on S-cells in affine Weyl groups

Autores: Michael Finkelberg, David Kazhdan, Yakov Varshavsky
Publicado en: Israel Journal of Mathematics, 2021, ISSN 0021-2172
Editor: Magnes Press
DOI: 10.1007/s11856-021-2270-6

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

Autores: Giovanni Felder, David Kazhdan
Publicado en: IMRN, Edición 2017, 2017, Página(s) 5897–5918, ISSN 1073-7928
Editor: Oxford University Press
DOI: 10.1093/imrn/rnw190

A general framework and examples of the analytic Langlands correspondence

Autores: Pavel Etingof, Edward Frenkel, David Kazhdan
Publicado en: Pure and Applied Mathematics Quarterly, 2024, ISSN 1558-8599
Editor: International Press

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

Autores: David Kazhdan
Publicado en: Selecta Mathematica, Edición 14209020, 2019, ISSN 1420-9020
Editor: Springer
DOI: 10.1007/s00029-019-0507-6

Regularization of divergent integrals

Autores: Giovanni Felder, David Kazhdan
Publicado en: Selecta Mathematica, Edición 24, 2018, Página(s) 157–186, ISSN 1022-1824
Editor: 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)

Autores: David Kazhdan
Publicado en: Selecta Mathematica, Edición 24/1, 2018, Página(s) 473-497, ISSN 1022-1824
Editor: Birkhauser Verlag
DOI: 10.1007/s00029-017-0321-y

Deligne–Lusztig duality and wonderful compactification

Autores: Joseph Bernstein, Roman Bezrukavnikov, David Kazhdan
Publicado en: Selecta Mathematica, Edición 24/1, 2018, Página(s) 7-20, ISSN 1022-1824
Editor: Birkhauser Verlag
DOI: 10.1007/s00029-018-0391-5

Bernstein components via the Bernstein center

Autores: Alexander Braverman, David Kazhdan
Publicado en: Selecta Mathematica, Edición 22/4, 2016, Página(s) 2313-2323, ISSN 1022-1824
Editor: Birkhauser Verlag
DOI: 10.1007/s00029-016-0277-3

Iwahori–Hecke algebras for p-adic loop groups

Autores: Alexander Braverman, David Kazhdan, Manish M. Patnaik
Publicado en: Inventiones mathematicae, Edición 204/2, 2016, Página(s) 347-442, ISSN 0020-9910
Editor: Springer Verlag
DOI: 10.1007/s00222-015-0612-x

The abstract cotangent complex and Quillen cohomology of enriched categories

Autores: Yonatan Harpaz, Joost Nuiten, Matan Prasma
Publicado en: Journal of Topology, Edición 11/3, 2018, Página(s) 752-798, ISSN 1753-8416
Editor: Oxford University Press
DOI: 10.1112/topo.12074

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

Autores: Inna Entova-Aizenbud
Publicado en: Journal of Algebra, Edición 504, 2018, Página(s) 391-431, ISSN 0021-8693
Editor: Academic Press
DOI: 10.1016/j.jalgebra.2018.02.016

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

Autores: M. Balagovic, Z. Daugherty, I. Entova-Aizenbud, I. Halacheva, J. Hennig, M.S. Im, G. Letzter, E. Norton, V. Serganova, C. Stroppel
Publicado en: Mathematical Research Letters, Edición 26/3, 2019, Página(s) 643-710, ISSN 1073-2780
Editor: Mathematical Publishing
DOI: 10.4310/mrl.2019.v26.n3.a2

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

Autores: Inna Entova-Aizenbud, Vladimir Hinich, Vera Serganova
Publicado en: International Mathematics Research Notices, 2018, ISSN 1073-7928
Editor: Oxford University Press
DOI: 10.1093/imrn/rny144

Tangent categories of algebras over operads

Autores: Yonatan Harpaz, Joost Nuiten, Matan Prasma
Publicado en: Israel Journal of Mathematics, Edición 234/2, 2019, Página(s) 691-742, ISSN 0021-2172
Editor: Magnes Press
DOI: 10.1007/s11856-019-1933-z

Skeletons and moduli of Stokes torsors

Autores: Jean-Baptiste TEYSSIER
Publicado en: Annales scientifiques de l'École normale supérieure, Edición 52/2, 2019, Página(s) 337-365, ISSN 0012-9593
Editor: Elsevier BV
DOI: 10.24033/asens.2389

Vertex Operators, Solvable Lattice Models and Metaplectic Whittaker Functions

Autores: Ben Brubaker, Valentin Buciumas, Daniel Bump, Henrik Gustafsson
Publicado en: Communications in Mathematical Physics, Edición 380, 2020, Página(s) 535–579, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-020-03842-w

A Yang–Baxter equation for metaplectic ice

Autores: Ben Brubaker, Valentin Buciumas, Daniel Bump, Nathan Gray
Publicado en: Communications in Number Theory and Physics, Edición 13/1, 2019, Página(s) 101-148, ISSN 1931-4523
Editor: International Press of Boston, Inc.
DOI: 10.4310/cntp.2019.v13.n1.a4

The affine VW supercategory

Autores: M. Balagović, Z. Daugherty, I. Entova-Aizenbud, I. Halacheva, J. Hennig, M. S. Im, G. Letzter, E. Norton, V. Serganova, C. Stroppel
Publicado en: Selecta Mathematica, Edición 26/2, 2020, ISSN 1022-1824
Editor: Birkhauser Verlag
DOI: 10.1007/s00029-020-0541-4

On the depth r Bernstein projector

Autores: Roman Bezrukavnikov, David Kazhdan, Yakov Varshavsky
Publicado en: Selecta Mathematica, Edición 22/4, 2016, Página(s) 2271-2311, ISSN 1022-1824
Editor: Birkhauser Verlag
DOI: 10.1007/s00029-016-0278-2

Geometric approach to parabolic induction

Autores: David Kazhdan, Yakov Varshavsky
Publicado en: Selecta Mathematica, Edición 22/4, 2016, Página(s) 2243-2269, ISSN 1022-1824
Editor: Birkhauser Verlag
DOI: 10.1007/s00029-016-0275-5

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

Autores: Alexis Bouthier, David Kazhdan, Yakov Varshavsky
Publicado en: Advances in Mathematics, Edición 00018708, 2022, ISSN 0001-8708
Editor: Academic Press
DOI: 10.1016/j.aim.2022.108572

Gröbner cells of punctual Hilbert schemes in dimension two

Autores: Ivan Cherednick
Publicado en: Journal of Algebra, Edición 597, 2022, Página(s) 205-240, ISSN 0021-8693
Editor: Academic Press
DOI: 10.1016/j.jalgebra.2022.01.012

Regularity of the superstring supermeasure and the superperiod map

Autores: Giovanni Felder, David Kazhdan, Alexander Polishchuk
Publicado en: Selecta Mathematica, Edición 28, 2022, ISSN 1022-1824
Editor: Birkhauser Verlag
DOI: 10.1007/s00029-021-00727-1

A toy model for the Drinfeld-Lafforgue shtuka construction

Autores: D. Gaitsgory, D. Kazhdan, N. Rozenblyum, Y. Varshavsky
Publicado en: Indagationes Mathematicae, Edición Volume 33, Edición 1, 2022, ISSN 0019-3577
Editor: Elsevier BV
DOI: 10.1016/j.indag.2021.11.002

Scattering amplitude annihilators

Autores: Andrea Nützi, Michael Reiterer
Publicado en: Journal of High Energy Physics, Edición 2020/2, 2020, ISSN 1029-8479
Editor: Institute of Physics Publishing
DOI: 10.1007/jhep02(2020)020

The tangent bundle of a model category

Autores: Yonatan Harpaz, Joost Nuiten, Matan Prasma
Publicado en: Theory and Applications of Categories, Edición vol. 34, No. 33, 2019, Página(s) 1039-1072, ISSN 1201-561X
Editor: R. Rosebrugh

Characteristic functions of p-adic integral operators

Autores: Pavel Etingof, David Kazhdan
Publicado en: Contemporary Mathematics, Hypergeometry, integrability and Lie theory, Edición 02714132, 2022, Página(s) 1-27, ISSN 0271-4132
Editor: AMS
DOI: 10.1090/conm/780/15685

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

Autores: Victor Ginzburg, David Kazhdan
Publicado en: Advances in Mathematics, Edición Volume 403, 2022, ISSN 0001-8708
Editor: Academic Press
DOI: 10.1016/j.aim.2022.108368

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

Autores: Pavel Etingof, Edward Frenkel, David Kazhdan
Publicado en: Geometric and Functional Analysis, Edición 1016443X, 2022, ISSN 1016-443X
Editor: Birkhauser Verlag
DOI: 10.1007/s00039-022-00603-w

Automorphic functions as the trace of Frobenius

Autores: D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin, N. Rozenblyum, Y. Varshavsky
Publicado en: 2021
Editor: arxiv

Relative left Bongartz completions and their compatibility with mutations

Autores: Peigen Cao, Yu Wang, Houjun Zhang
Publicado en: 2022
Editor: arxiv

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

Autores: David Kazhdan, Alexander Yom Din
Publicado en: 2022
Editor: arxiv

On Leclerc's conjectural cluster structures for open Richardson varieties

Autores: Peigen Cao, Bernhard Keller
Publicado en: 2022
Editor: arxiv

Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves

Autores: Mao Li, Hao Sun
Publicado en: 2021
Editor: arXiv

On finite dimensionality of homology of subalgebras of vector fields

Autores: Boris Feigin, Alexei Kanel-Belov, Anton Khoroshkin
Publicado en: 2022
Editor: arxiv

The valuation pairing on an upper cluster algebra

Autores: Peigen Cao, Bernhard Keller, Fan Qin
Publicado en: 2022
Editor: arxiv

Summation formulae for quadrics

Autores: Jayce R. Getz
Publicado en: 2022
Editor: arxiv

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

Autores: D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin, N. Rozenblyum, Y. Varshavsky
Publicado en: 2020
Editor: arxiv

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

Autores: Peng Xu
Publicado en: 2017
Editor: arXiv

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

Autores: Peng Xu
Publicado en: 2018
Editor: arXiv

Alexander type invariants of tangles

Autores: Iva Halacheva
Publicado en: 2016
Editor: arXiv

On triple product L-functions

Autores: Jayce R. Getz
Publicado en: 2019
Editor: arXiv

Quantum geometry of moduli spaces of local systems and representation theory

Autores: Alexander Goncharov, Linhui Shen
Publicado en: 2019
Editor: arXiv

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

Autores: Andrea Nützi, Michael Reiterer, Eugene Trubowitz
Publicado en: 2020
Editor: arXiv

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

Autores: Michael Reiterer
Publicado en: 2019
Editor: arXiv

On certain Iwahori–Hecke modules of GL3 in characteristic p

Autores: Peng Xu
Publicado en: 2020
Editor: arXiv

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

Autores: Peng Xu
Publicado en: 2019
Editor: arXiv

The Fourier transform for triples of quadratic spaces

Autores: Jayce R. Getz, Chun-Hsien Hsu
Publicado en: 2020
Editor: arxiv

Harmonic analysis on certain spherical varieties

Autores: Jayce R. Getz, Chun-Hsien Hsu, Spencer Leslie
Publicado en: 2021
Editor: arxiv

The moduli space of stable supercurves and its canonical line bundle

Autores: Giovanni Felder, David Kazhdan, Alexander Polishchuk
Publicado en: 2020
Editor: arxiv

On exchange matrices from string diagrams

Autores: Peigen Cao
Publicado en: 2022
Editor: arxiv

Duality for automorphic sheaves with nilpotent singular support

Autores: D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin, N. Rozenblyum, Y. Varshavsky
Publicado en: 2020
Editor: arxiv

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

Autores: Alexander Braverman, David Kazhdan
Publicado en: accepted to ICM (International Congress of Mathematicians) 2022 St. Petersburg, 2021
Editor: arxiv

Character values and Hochschild homology

Autores: Roman Bezrukavnikov, David Kazhdan
Publicado en: Proceedings of Symposia in Pure Mathematics, Edición vol 101, 2019, Página(s) 1-31
Editor: American Mathematical Society

Schwartz space of parabolic basic affine space and asymptotic Hecke algebras

Autores: Alexander Braverman, David Kazhdan
Publicado en: """Representations of Reductive Groups""", 2018
Editor: American Mathematical Society

An analytic version of the Langlands correspondence for complex curves

Autores: Pavel Etingof, Edward Frenkel, David Kazhdan
Publicado en: Proceedings of Symposia in Pure Mathematics, Integrability, quantization, and geometry. II Quantum Theories and Algebraic Geometry, Edición 103.2, 2021, Página(s) 137–202, ISBN 978-1-4704-5592-7
Editor: American Mathematical Society

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

Autores: Alexander Braverman, David Kazhdan
Publicado en: ICM International Congress of Mathematicians 2022 July 6-14, 2023
Editor: EMS press
DOI: 10.4171/icm2022/167

Remarks on the Asymptotic Hecke Algebra

Autores: Alexander Braverman, David Kazhdan
Publicado en: Lie Groups, Geometry, and Representation Theory, 2018, Página(s) 91-108, ISSN 0743-1643
Editor: Birkhäuser Cham
DOI: 10.1007/978-3-030-02191-7_4

Hecke operators and analytic Langlands correspondence for curves over local fields

Autores: Pavel Etingof, Edward Frenkel, David Kazhdan
Publicado en: DUKE MATHEMATICAL JOURNAL, Edición Vol. 172, No. 11, 2023, Página(s) 2015-2071, ISSN 0012-7094
Editor: Duke University Press
DOI: 10.1215/00127094-2022-0068

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