Relative representation theory and distributions on reductive groups over local fields

Project Information

RelRepDist

Grant agreement ID: 637912

DOI 10.3030/637912

Project closed

EC signature date 23 February 2015

Start date 1 March 2015

End date 31 December 2020

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 196 215,00

EU contribution € 1 196 215,00

Coordinated by

WEIZMANN INSTITUTE OF SCIENCE
Israel

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (22)

Tempered distributions and Schwartz functions on definable manifolds

Author(s): Ary Shaviv
Published in: Journal of Functional Analysis, Issue 278/11, 2020, Page(s) 108471, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2020.108471

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups

Author(s): Dmitry Gourevitch, Henrik P. A. Gustafsson, Axel Kleinschmidt, Daniel Persson, Siddhartha Sahi
Published in: Canadian Journal of Mathematics, 2021, Page(s) 1-48, ISSN 0008-414X
Publisher: Canadian Mathematical Society
DOI: 10.4153/s0008414x20000711

Multiplicity one theorem for $$(\mathrm {GL}_{n+1},\mathrm {GL}_n)$$ over a local field of positive characteristic

Author(s): Dor Mezer
Published in: Mathematische Zeitschrift, 2021, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-020-02561-1

On Twisted Gelfand Pairs Through Commutativity of a Hecke Algebra

Author(s): Yotam I Hendel
Published in: International Mathematics Research Notices, 2019, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnz107

Twisted doubling integrals for classical groups

Author(s): Yuanqing Cai
Published in: Mathematische Zeitschrift, 2020, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-020-02547-z

On the crystal graph description of the stable Weyl group multiple Dirichlet series

Author(s): Yuanqing Cai
Published in: Journal of Number Theory, Issue 215, 2020, Page(s) 186-215, ISSN 0022-314X
Publisher: Academic Press
DOI: 10.1016/j.jnt.2020.01.006

Holomorphic string algebroids

Author(s): Mario Garcia-Fernandez, Roberto Rubio, Carl Tipler
Published in: Transactions of the American Mathematical Society, Issue 373/10, 2020, Page(s) 7347-7382, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8149

Representations of reductive groups distinguished by symmetric subgroups

Author(s): Itay Glazer
Published in: Mathematische Zeitschrift, 2017, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-017-1961-5

On two questions concerning representations distinguished by the Galois involution

Author(s): Maxim Gurevich, Jia-Jun Ma, Arnab Mitra
Published in: Forum Mathematicum, Issue 30/1, 2018, ISSN 0933-7741
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/forum-2016-0212

Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture

Author(s): Avraham Aizenbud, Dmitry Gourevitch, Bernhard Krötz, Gang Liu
Published in: Mathematische Zeitschrift, Issue 283/3-4, 2016, Page(s) 979-992, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-016-1629-6

Doubling constructions and tensor product L-functions: the linear case

Author(s): Yuanqing Cai, Solomon Friedberg, David Ginzburg, Eyal Kaplan
Published in: Inventiones mathematicae, Issue 217/3, 2019, Page(s) 985-1068, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-019-00883-4

Whittaker supports for representations of reductive groups

Author(s): Gomez, Raul; Gourevitch, Dmitry; Sahi, Siddhartha
Published in: To appear in Annales Institut Fourier, Issue 1, 2020, ISSN 0373-0956
Publisher: Association des Annales de I'Institut Fourier

Generalized and degenerate Whittaker models

Author(s): Raul Gomez, Dmitry Gourevitch, Siddhartha Sahi
Published in: Compositio Mathematica, Issue 153/02, 2017, Page(s) 223-256, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/S0010437X16007788

z -Finite distributions on p -adic groups

Author(s): Avraham Aizenbud, Dmitry Gourevitch, Eitan Sayag
Published in: Advances in Mathematics, Issue 285, 2015, Page(s) 1376-1414, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2015.07.033

Invariant generalized functions supported on an orbit

Author(s): Avraham Aizenbud, Dmitry Gourevitch
Published in: Israel Journal of Mathematics, 2018, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-018-1668-2

Holonomicity of relative characters and applications to multiplicity bounds for spherical pairs

Author(s): Avraham Aizenbud, Dmitry Gourevitch, Andrei Minchenko
Published in: Selecta Mathematica, Issue 22/4, 2016, Page(s) 2325-2345, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-016-0276-4

Schwartz functions on real algebraic varieties

Author(s): Boaz Elazar, Ary Shaviv
Published in: Canadian Journal of Mathematics, 2017, Page(s) 1-25, ISSN 0008-414X
Publisher: Canadian Mathematical Society
DOI: 10.4153/CJM-2017-042-6

Analytic Continuation of Equivariant Distributions

Author(s): Dmitry Gourevitch, Siddhartha Sahi, Eitan Sayag
Published in: International Mathematics Research Notices, 2018, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnx326

Decomposition Rules for the Ring of Representations of Non-Archimedean GLn

Author(s): Maxim Gurevich
Published in: International Mathematics Research Notices, Issue 2020/20, 2019, Page(s) 6815-6855, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnz006

The Prasad conjectures for U2, SO4 and Sp4

Author(s): Hengfei Lu
Published in: Journal of Number Theory, Issue 204, 2019, Page(s) 211-245, ISSN 0022-314X
Publisher: Academic Press
DOI: 10.1016/j.jnt.2019.04.002

Unramified Whittaker functions for certain Brylinski–Deligne covering groups

Author(s): Yuanqing Cai
Published in: Forum Mathematicum, Issue 32/1, 2020, Page(s) 207-233, ISSN 0933-7741
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/forum-2019-0094

Quantum invariants for decomposition problems in type A rings of representations

Author(s): Maxim Gurevich
Published in: Journal of Combinatorial Theory, Series A, Issue 180, 2021, Page(s) 105431, ISSN 0097-3165
Publisher: Academic Press
DOI: 10.1016/j.jcta.2021.105431

Conference proceedings (1)

Generalized and degenerate Whittaker quotients and Fourier coefficients

Author(s): Gourevitch, Dmitry; Sahi, Siddhartha
Published in: Representations of Reductive Groups, Proceedings of Symposia in Pure Mathematics, Issue 101, 2019, Page(s) 133–154, ISBN 978-1-4704-4284-2
Publisher: Amer. Math. Soc.

Other (3)

Multiplicity one theorem for the generalized doubling method

Author(s): Dmitry Gourevitch, Eyal Kaplan
Published in: 2019
Publisher: arXiv

On the Gelfand property for complex symmetric pairs

Author(s): Rubio, Roberto
Published in: arXiv, Issue 1, 2019
Publisher: arXiv

A reduction principle for Fourier coefficients of automorphic forms

Author(s): Gourevitch, Dmitry; Gustafsson, Henrik P. A.; Kleinschmidt, Axel; Persson, Daniel; Sahi, Siddhartha
Published in: Issue 1, 2019
Publisher: arXiv

Thesis and dissertations (1)

On the Stability and Gelfand Property of Symmetric Pairs

Author(s): Shachar Carmeli
Published in: 2015
Publisher: arXiv