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HAS SIGNED

Harmonic Analysis and l-adic sheaves

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EC-Contrib. €

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Project "HAS" data sheet

The following table provides information about the project.

Coordinator
THE HEBREW UNIVERSITY OF JERUSALEM 

Organization address
address: EDMOND J SAFRA CAMPUS GIVAT RAM
city: JERUSALEM
postcode: 91904
website: www.huji.ac.il

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Israel [IL]
 Total cost 1˙569˙488 €
 EC max contribution 1˙569˙488 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2014-ADG
 Funding Scheme ERC-ADG
 Starting year 2015
 Duration (year-month-day) from 2015-10-01   to  2020-09-30

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    THE HEBREW UNIVERSITY OF JERUSALEM IL (JERUSALEM) coordinator 1˙569˙488.00

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 Project objective

'In recent years there has been impressive development of the higher category theory and in particular development of the categorical counterpart of the Langlands conjecture over fields of finite characteristic. But until now, this development has had little bearing on the classical problems which deal with spaces of functions. The main goal of this proposal is to build the technique to apply the category theory to classical problems. Of course on the way I will have to deal with problems in the categorical realm.

The first part of the proposal deals with construction of characters of irreducible representations of reductive groups over local nonarchimedian fields F in terms of traces of the Frobenious endomorphisms which should lead to the proof of the 'Stable center conjecture' at least for representations of depth zero.

The second part is on the extension of the definition of L-functions of representations of reductive F-groups corresponding to an arbitrary representation of the dual groups. As it is now, the definition is known only for very special representations of the dual group and only in the case of classical groups.

The third part is on the extension of the classical theory to representations of Kac-Moody groups over local fields.'

 Publications

year authors and title journal last update
List of publications.
2016 Alexander Braverman, David Kazhdan
Bernstein components via the Bernstein center
published pages: 2313-2323, ISSN: 1022-1824, DOI: 10.1007/s00029-016-0277-3
Selecta Mathematica 22/4 2019-07-04
2018 Roman Bezrukavnikov, David Kazhdan
Character values and Hochschild homology
published pages: , ISSN: , DOI:
Proceedings of Symposia in Pure Mathematics 2019-07-04
2018 Inna Entova-Aizenbud, Vladimir Hinich, Vera Serganova
Deligne Categories and the Limit of Categories $operatorname{mathbf{Rep}}!boldsymbol{(GL(m|n))}$
published pages: , ISSN: 1073-7928, DOI: 10.1093/imrn/rny144
International Mathematics Research Notices 2019-07-04
2016 Alexander Braverman, David Kazhdan, Manish M. Patnaik
Iwahori–Hecke algebras for p-adic loop groups
published pages: 347-442, ISSN: 0020-9910, DOI: 10.1007/s00222-015-0612-x
Inventiones mathematicae 204/2 2019-07-04
2019 Jean-Baptiste Teyssier
Skeletons and moduli of Stokes torsors
published pages: , ISSN: 0012-9593, DOI:
Annales Scientifiques de l\'École Normale Supérieure 2019-07-04
2018 Peng Xu
On the pro-p-Iwahori invariants of supersingular representations of unramified U(2,1)
published pages: , ISSN: , DOI:
2019-07-04
2016 David Kazhdan, Yakov Varshavsky
Geometric approach to parabolic induction
published pages: 2243-2269, ISSN: 1022-1824, DOI: 10.1007/s00029-016-0275-5
Selecta Mathematica 22/4 2019-07-04
2018 Martina Balagovic, Zajj Daugherty, Inna Entova-Aizenbud, Iva Halacheva, Johanna Hennig, Mee Seong Im, Gail Letzter, Emily Norton, Vera Serganova, Catharina Stroppel
The affine VW supercategory
published pages: , ISSN: , DOI:
2019-07-04
2017 Alexis Bouthier, David Kazhdan
Faisceaux pervers sur les espaces d\'arcs
published pages: , ISSN: , DOI:
2019-07-04
2019 Martina Balagovic, Zajj Daugherty, Inna Entova-Aizenbud, Iva Halacheva, Johanna Hennig, Mee Seong Im, Gail Letzter, Emily Norton, Vera Serganova, Catharina Stroppel
Translation functors and decomposition numbers for the periplectic Lie superalgebra p(n)
published pages: , ISSN: 1073-2780, DOI:
Mathematical Research Letters 2019-07-04
2018 Ben Brubaker, Valentin Buciumas, Daniel Bump
A Yang-Baxter equation for metaplectic ice
published pages: , ISSN: , DOI:
2019-07-04
2018 Alexander Braverman, David Kazhdan
Schwartz space of parabolic basic affine space and asymptotic Hecke algebras
published pages: , ISSN: , DOI:
\"\"\"Representations of Reductive Groups\"\"\" 2019-07-04
2016 Iva Halacheva
Alexander type invariants of tangles
published pages: , ISSN: , DOI:
2019-07-04
2018 David Kazhdan
A spectral decomposition of orbital integrals for PGL(2, F) (with an appendix by S. Debacker)
published pages: 473-497, ISSN: 1022-1824, DOI: 10.1007/s00029-017-0321-y
Selecta Mathematica 24/1 2019-07-04
2018 Peng Xu
On certain Iwahori representations of unramified U(2,1) in characteristic p
published pages: , ISSN: , DOI:
2019-07-04
2016 Roman Bezrukavnikov, David Kazhdan, Yakov Varshavsky
On the depth r Bernstein projector
published pages: 2271-2311, ISSN: 1022-1824, DOI: 10.1007/s00029-016-0278-2
Selecta Mathematica 22/4 2019-07-04
2018 Ben Brubaker, Valentin Buciumas, Daniel Bump, Henrik Gustafsson
Vertex operators, solvable lattice models and metaplectic Whittaker functions
published pages: , ISSN: , DOI:
2019-07-04
2018 Inna Entova-Aizenbud
Categorical actions and multiplicities in the Deligne category R e p _ ( G L t
published pages: 391-431, ISSN: 0021-8693, DOI: 10.1016/j.jalgebra.2018.02.016
Journal of Algebra 504 2019-07-04
2018 Yonatan Harpaz, Joost Nuiten, Matan Prasma
Tangent categories of algebras over operads
published pages: , ISSN: , DOI:
2019-07-04
2018 Joseph Bernstein, Roman Bezrukavnikov, David Kazhdan
Deligne–Lusztig duality and wonderful compactification
published pages: 7-20, ISSN: 1022-1824, DOI: 10.1007/s00029-018-0391-5
Selecta Mathematica 24/1 2019-07-04

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