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

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

A GEOMETRIC STEINBERG FORMULA (opens in new window)

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

Hecke action on the principal block (opens in new window)

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 (opens in new window)

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

Koszul duality for Coxeter groups (opens in new window)

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 (opens in new window)

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

Néron blowups and low-degree cohomological applications (opens in new window)

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

Smith–Treumann theory and the linkage principle (opens in new window)

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

Integral exotic sheaves and the modular Lusztig–Vogan bijection (opens in new window)

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

Quasi-isogeny groups of supersingular abelian surfaces via pro-étale fundamental groups (opens in new window)

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

The geometric Satake equivalence for integral motives (opens in new window)

Author(s): Cass, Robert; Hove, Thibaud van den; Scholbach, Jakob
Published in: arXiv, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2211.04832

A geometric model for blocks of Frobenius kernels (opens in new window)

Author(s): Achar, Pramod N.; Riche, Simon
Published in: arXiv, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2203.03530

A modular ramified geometric Satake equivalence (opens in new window)

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

On two modular geometric realizations of an affine Hecke algebra (opens in new window)

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

Fixed points under pinning-preserving automorphisms of reductive group schemes (opens in new window)

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

Multi-centered dilatations, congruent isomorphisms and Rost double deformation space (opens in new window)

Author(s): Mayeux, Arnaud
Published in: arXiv, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2303.07712

Algebraic Magnetism (opens in new window)

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 (opens in new window)

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 (opens in new window)

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

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