Modular representation theory of reductive algebraic groups and local Geometric Langlands duality

Project Information

RedLang

Grant agreement ID: 101002592

DOI

10.3030/101002592

EC signature date 24 March 2021

Start date 1 September 2021

End date 31 August 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 268 551,00

EU contribution

€ 1 268 551,00

Coordinated by

UNIVERSITE CLERMONT AUVERGNE
France

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

Other (17)

Perverse sheaves on the semi-infinite flag variety and representations of the Frobenius kernel

Author(s): Emilien Zabeth
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2504.03341

The stack of spherical Langlands parameters

Author(s): Hove, Thibaud van den
Published in: Issue 1, 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2409.09522

Modular intersection cohomology of Drinfeld's compactifications

Author(s): Pramod N. Achar, Gurbir Dhillon, Simon Riche
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2505.17953

Equivariant Koszul duality, modular category O, and periodic Kazhdan-Lusztig polynomials

Author(s): Simon Riche, Quan Situ
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2511.18518

Some applications of the geometric Satake equivalence to modular representation theory

Author(s): Riche, Simon
Published in: Issue 1, 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2403.03734

A modular ramified geometric Satake equivalence

Author(s): Pramod N. Achar; João Lourenço; Timo Richarz; Simon Riche
Published in: arXiv, 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2403.10651

On the modular generalized Springer correspondence for disconnected groups

Author(s): Kostas I. Psaromiligkos, Simon Riche
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2503.20025

The integral motivic Satake equivalence for ramified groups

Author(s): Thibaud van den Hove
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2404.15694

On two modular geometric realizations of an affine Hecke algebra

Author(s): R. Bezrukavnikov; S. Riche
Published in: arXiv, 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2402.08281

The Lafforgue variety and irreducibility of induced representations

Author(s): Kostas I. Psaromiligkos
Published in: 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2211.11834

Fixed points under pinning-preserving automorphisms of reductive group schemes

Author(s): Achar, Pramod, N.; Richarz, Timo; Riche, Simon; Lourenço, João
Published in: arXiv, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2212.10182

A survey on algebraic dilatations

Author(s): Dubouloz, Adrien; Mayeux, Arnaud; Santos, João Pedro dos
Published in: Issue 1, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2306.17003

Semiinfinite sheaves on affine flag varieties

Author(s): Pramod N. Achar, Gurbir Dhillon, Simon Riche
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2503.18412

Cycles on splitting models of Shimura varieties

Author(s): Thibaud van den Hove
Published in: 2026
Publisher: arXiv
DOI: 10.48550/arxiv.2603.08870

Algebraic Magnetism

Author(s): Mayeux, Arnaud
Published in: arXiv, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2203.08231

Modular affine Hecke category and regular unipotent centralizer, I

Author(s): R. Bezrukavnikov, S. Riche, L. Rider
Published in: arXiv, 2020
Publisher: arXiv
DOI: 10.48550/arxiv.2005.05583

Modular affine Hecke category and regular centralizer

Author(s): Bezrukavnikov, Roman; Riche, Simon
Published in: arXiv, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2206.03738

Peer reviewed articles (18)

A GEOMETRIC STEINBERG FORMULA

Author(s): Achar, Pramod N.; Riche, Simon
Published in: Transformation Groups, Issue 28, 2023, Page(s) 1001-1032, ISSN 1083-4362
Publisher: Birkhaeuser
DOI: 10.1007/s00031-022-09768-y

Comparing Bushnell-Kutzko and S\'echerre's constructions of types for $\mathrm{GL}_{N}$ and its inner forms with Yu's construction

Author(s): Arnaud MAYEUX et Yuki YAMAMOTO
Published in: Bulletin de la Société mathématique de France, 2024, ISSN 0037-9484
Publisher: Societe Mathematique de France
DOI: 10.24033/bsmf.1524amyy

"Character sheaves in characteristic <mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML""> <mml:mi>p</mml:mi> </mml:math> have nilpotent singular support"

Author(s): Kostas I. Psaromiligkos
Published in: Confluentes Mathematici, Issue 17, 2025, Page(s) 1-10, ISSN 1793-7442
Publisher: MathDoc/Centre Mersenne
DOI: 10.5802/cml.97

A geometric model for blocks of Frobenius kernels

Author(s): Pramod N. Achar, Simon Riche
Published in: Arkiv för Matematik, Issue 62, 2025, Page(s) 217-329, ISSN 0004-2080
Publisher: Royal Swedish Academy of Sciences
DOI: 10.4310/arkiv.2024.v62.n2.a1

Hecke action on the principal block

Author(s): Roman Bezrukavnikov, Simon Riche
Published in: Compositio Mathematica, 2022, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x22007436

Higher nearby cycles and central sheaves on affine flag varieties

Author(s): Pramod N. Achar, Simon Riche
Published in: Journal of Singularities, Issue 27, 2024, Page(s) 1-30, ISSN 1949-2006
Publisher: Worldwide Center of Mathematics
DOI: 10.5427/jsing.2024.27a

Mixed modular perverse sheaves on affine flag varieties and Koszul duality

Author(s): Simon Riche
Published in: Revista de la Unión Matemática Argentina, 2025, ISSN 1669-9637
Publisher: Union Matematica Argentina
DOI: 10.33044/revuma.5035

Koszul duality for Coxeter groups

Author(s): Riche, Simon; Vay, Cristian
Published in: Annals of Representation Theory, Issue 1, 2024, Page(s) 335-374, ISSN 0000-0000
Publisher: NTNU
DOI: 10.48550/arxiv.2303.08267

Bruhat–Tits theory from Berkovich’s point of view. Analytic filtrations

Author(s): Arnaud Mayeux
Published in: Annales Henri Lebesgue, Issue 5, 2022, Page(s) 813-839, ISSN 2644-9463
Publisher: Univ. Rennes 1, ENS Rennes, Ann. H. Lebesgue
DOI: 10.5802/ahl.137

Central motives on parahoric flag varieties

Author(s): Robert Cass, Thibaud van den Hove, Jakob Scholbach
Published in: Journal of the European Mathematical Society, 2025, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1748

Néron blowups and low-degree cohomological applications

Author(s): Arnaud Mayeux, Timo Richarz, Matthieu Romagny
Published in: Algebraic Geometry, Issue 10, 2023, Page(s) 729–753, ISSN 2313-1691
Publisher: Foundation Compositio Mathematics
DOI: 10.14231/ag-2023-026

Multi-centered Dilatations, Congruent Isomorphisms and Rost Double Deformation Space

Author(s): Arnaud Mayeux
Published in: Transformation Groups, 2024, ISSN 1083-4362
Publisher: Birkhaeuser
DOI: 10.1007/s00031-024-09894-9

Smith–Treumann theory and the linkage principle

Author(s): Simon RICHE, Geordie WILLIAMSON
Published in: Publications mathématiques de l'IHES, Issue 136, 2022, Page(s) 225-292, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.1007/s10240-022-00134-y

On Multi-Graded Proj Schemes

Author(s): Arnaud Mayeux, Simon Riche
Published in: Publications of the Research Institute for Mathematical Sciences, Issue 62, 2026, Page(s) 115-176, ISSN 0034-5318
Publisher: Kyoto Daigaku
DOI: 10.4171/prims/62-1-4

Integral exotic sheaves and the modular Lusztig–Vogan bijection

Author(s): Pramod N. Achar; William Hardesty; Simon Riche
Published in: Journal of the London Mathematical Society, Issue 106, 2022, Page(s) 2403-2458, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12638

Dilatations of categories

Author(s): Arnaud Mayeux
Published in: Higher Structures, Issue 9, 2025, Page(s) 62-75, ISSN 2209-0606
Publisher: Czech Academy of Sciences, Institute of Mathematics, Prague
DOI: 10.21136/hs.2025.10

Quasi-isogeny groups of supersingular abelian surfaces via pro-étale fundamental groups

Author(s): Hove, Thibaud van den
Published in: Documenta Mathematica, Issue 28, 2023, Page(s) 1053-1078, ISSN 1431-0635
Publisher: Deutsche Mathematiker-Vereinigung
DOI: 10.4171/dm/930

Block decomposition via the geometric Satake equivalence

Author(s): Emilien Zabeth
Published in: Annales de l'Institut Fourier, 2026, Page(s) 1-73, ISSN 0373-0956
Publisher: Association des Annales de I'Institut Fourier
DOI: 10.5802/aif.3755

Non-peer reviewed articles (1)

The geometric Satake equivalence for integral motives

Author(s): Robert Cass, Thibaud van den Hove, Jakob Scholbach
Published in: Compositio Mathematica, Issue 161, 2026, Page(s) 2755-2851, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x25102480

Thesis and dissertations (2)

Representations of algebraic groups in positive characteristic via geometric Langlands duality

Author(s): Emilien Zabeth
Published in: 2025
Publisher: HAL these

Motivic Methods in the Langlands Program

Author(s): Thibaud van den Hove
Published in: 2025
Publisher: TUprints