The geometry of modular representations of reductive algebraic groups

Project Information

ModRed

Grant agreement ID: 677147

DOI

10.3030/677147

Project closed

EC signature date 18 December 2015

Start date 1 September 2016

End date 31 August 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 882 843,75

EU contribution

€ 882 843,75

Coordinated by

UNIVERSITE CLERMONT AUVERGNE
France

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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 (12)

An Iwahori-Whittaker model for the Satake category

Author(s): Roman Bezrukavnikov, Dennis Gaitsgory, Ivan Mirković, Simon Riche, Laura Rider
Published in: Journal de l’École polytechnique — Mathématiques, Issue 6, 2019, Page(s) 707-735, ISSN 2270-518X
Publisher: Editions de l'école Polytechnique
DOI: 10.5802/jep.104

The ABC of p-cells

Author(s): Lars Thorge Jensen
Published in: Selecta Mathematica, Issue 26/2, 2020, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-020-0552-1

A simple character formula

Author(s): Simon Riche, Geordie Williamson
Published in: Annales Henri Lebesgue, Issue 4, 2021, Page(s) 503-535, ISSN 2644-9463
Publisher: Centre Mersenne
DOI: 10.5802/ahl.79

ON THE HUMPHREYS CONJECTURE ON SUPPORT VARIETIES OF TILTING MODULES

Author(s): PRAMOD N. ACHAR, WILLIAM HARDESTY, SIMON RICHE
Published in: Transformation Groups, Issue 24/3, 2019, Page(s) 597-657, ISSN 1083-4362
Publisher: Birkhaeuser
DOI: 10.1007/s00031-019-09513-y

Representation theory of disconnected reductive groups

Author(s): Achar, Pramod,; Hardesty, William; Riche, Simon
Published in: Documenta Mathematica, Issue 25, 2020, Page(s) 2149-2177, ISSN 1431-0635
Publisher: Deutsche Mathematiker-Vereinigung
DOI: 10.25537/dm.2020v25.2149-2177

Tilting modules and the p-canonical basis

Author(s): Riche , Simon; Williamson , Geordie
Published in: Astérisque, Issue 397, 2018, Page(s) 1-184, ISSN 0303-1179
Publisher: Societe Mathematique de France

Reductive groups, the loop Grassmannian, and the Springer resolution

Author(s): Pramod N. Achar, Simon Riche
Published in: Inventiones mathematicae, Issue 214, 2019, Page(s) 289-436, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-018-0805-1

The parabolic exotic t-structure

Author(s): Achar , Pramod ,; Cooney , Nicholas; Riche , Simon
Published in: Epijournal de Géométrie Algébrique, Issue 2, 2018, ISSN 2491-6765
Publisher: Episciences

Koszul duality for Kac–Moody groups and characters of tilting modules

Author(s): Pramod N. Achar, Shotaro Makisumi, Simon Riche, Geordie Williamson
Published in: Journal of the American Mathematical Society, Issue 32/1, 2019, Page(s) 261-310, ISSN 0894-0347
Publisher: American Mathematical Society
DOI: 10.1090/jams/905

Exotic tilting sheaves, parity sheaves on affine Grassmannians, and the Mirković–Vilonen conjecture

Author(s): Carl Mautner, Simon Riche
Published in: Journal of the European Mathematical Society, Issue 20/9, 2018, Page(s) 2259-2332, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/812

Mixed Perverse Sheaves on Flag Varieties for Coxeter Groups

Author(s): Pramod N. Achar, Simon Riche, Cristian Vay
Published in: Canadian Journal of Mathematics, Issue 72/1, 2020, Page(s) 1-55, ISSN 0008-414X
Publisher: Canadian Mathematical Society
DOI: 10.4153/cjm-2018-034-0

Perverse Monodromic Sheaves

Author(s): V. Gouttard
Published in: Journal of the London Mathematical Society (to appear), 2021, ISSN 0024-6107
Publisher: Oxford University Press

Conference proceedings (1)

Dualité de Koszul formelle et théorie des représentations des groupes algébriques réductifs en caractéristique positive

Author(s): Achar, Pramod N; Riche, Simon
Published in: 2018, Issue 8, 2019, Page(s) 83-150, ISBN 978-2-85629-912-8
Publisher: Société Mathématique de France

Book chapters (1)

Notes on the geometric Satake equivalence

Author(s): Baumann , Pierre; Riche , Simon
Published in: Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms - CIRM Jean-Morlet Chair, Spring 2016, Issue 2221, 2018, Page(s) 1-134, ISBN 978-3-319-95231-4
Publisher: Springer

Non-peer reviewed articles (1)

La théorie de Hodge des bimodules de Soergel (d'après Soergel et Elias-Williamson)

Author(s): Simon RICHE
Published in: Astérisque, Issue 414, 2019, Page(s) 125-166, ISSN 0303-1179
Publisher: Societe Mathematique de France
DOI: 10.24033/ast.1083

Thesis and dissertations (1)

Geometric Representation Theory in positive characteristic

Author(s): Riche, Simon
Published in: 2016