Discrete Groups and Geometric Structures

Project Information

DiGGeS

Grant agreement ID: 715982

DOI

10.3030/715982

Project closed

EC signature date 18 November 2016

Start date 1 September 2017

End date 31 December 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 049 182,00

EU contribution

€ 1 049 182,00

Coordinated by

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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

Peer reviewed articles (27)

Ergodicity and equidistribution in Hilbert geometry

Author(s): Blayac, Pierre-Louis; Zhu, Feng
Published in: Journal of Modern Dynamics, Issue 19, 2023, Page(s) 879-945, ISSN 1930-5311
Publisher: American Institute of Mathematical Sciences

Topological mixing of the geodesic flow on convex projective manifolds

Author(s): Blayac, Pierre-Louis
Published in: Annales de l'Institut Fourier, 2024, ISSN 0373-0956
Publisher: Association des Annales de I'Institut Fourier

Groupes de surface dans les réseaux des groupes de Lie semi-simples [d'après J. Kahn, V. Marković, U. Hamenstädt, F. Labourie et S. Mozes]

Author(s): Kassel, Fanny
Published in: Astérisque, Issue 438, 2022, Page(s) 1-72, ISSN 0303-1179
Publisher: Societe Mathematique de France

Linearity and indiscreteness of amalgamated products of hyperbolic groups

Author(s): Tholozan, Nicolas; Tsouvalas, Konstantinos
Published in: International Mathematical Research Notices, 2022, ISSN 1073-7928
Publisher: Oxford University Press

New sequences of non-free rational points

Author(s): Smilga, Ilia
Published in: Comptes Rendus Mathématique, Issue 359, 2021, Page(s) 983-989, ISSN 1631-073X
Publisher: Elsevier Masson
DOI: 10.5802/crmath.230

The boundary of rank-one divisible convex sets

Author(s): Blayac, Pierre-Louis
Published in: Bulletin de la Société Mathématique de France, 2024, ISSN 0037-9484
Publisher: Societe Mathematique de France

Fiber products of rank 1 superrigid lattices and quasi-isometric embeddings

Author(s): Tsouvalas, Konstantinos
Published in: Israel Journal of Mathematics, 2024, ISSN 0021-2172
Publisher: Magnes Press

Residually finite non linear hyperbolic groups

Author(s): Tholozan, Nicolas; Tsouvalas, Konstantinos
Published in: Commentarii Mathematici Helvetici, 2024, ISSN 0010-2571
Publisher: Birkhauser Verlag

On projective Anosov subgroups of symplectic groups

Author(s): Pozzetti, Maria Beatrice; Tsouvalas, Konstantinos
Published in: Bulletin of the London Mathematical Society, 2023, ISSN 0024-6093
Publisher: Oxford University Press

Schottky presentations of positive representations

Author(s): Burelle, Jean-Philippe; Treib, Nicolaus
Published in: Mathematische Annalen, 2022, ISSN 0025-5831
Publisher: Springer Verlag

Convex cocompactness in pseudo-Riemannian hyperbolic spaces

Author(s): Danciger, Jeffrey; Guéritaud, François; Kassel, Fanny
Published in: Geometriae Dedicata, Issue "192 (special issue ""Geometries: A Celebration of Bill Goldman's 60th Birthday"")", 2018, Page(s) 87-126, ISSN 0046-5755
Publisher: Kluwer Academic Publishers

Convex cocompact actions in real projective geometry

Author(s): Danciger, Jeffrey; Guéritaud, François; Kassel, Fanny
Published in: Annales Scientifiques de l'Ecole Normale Supérieure, 2024, ISSN 0012-9593
Publisher: Elsevier BV

Foliations between crooked planes in 3-dimensional Minkowski space

Author(s): Burelle, Jean-Philippe; Francoeur, Dominik
Published in: International Journal of Mathematics, Issue 30, 2019, ISSN 0129-167X
Publisher: World Scientific Publishing Co

Invariant differential operators on spherical homogeneous spaces with overgroups

Author(s): Kassel, Fanny; Kobayashi, Toshiyuki
Published in: Journal of Lie Theory, Issue 29, 2019, Page(s) pp.663-754, ISSN 0949-5932
Publisher: Heldermann Verlag

Proper affine actions for right-angled Coxeter groups

Author(s): Danciger, Jeffrey; Guéritaud, François; Kassel, Fanny
Published in: Duke Mathematical Journal, Issue 169, 2020, Page(s) 2231-2280, ISSN 0012-7094
Publisher: Duke University Press

Rigidity of diagonally embedded triangle groups

Author(s): Burelle, Jean-Philippe
Published in: Canadian Mathematical Bulletin, Issue 64, 2021, Page(s) 560-579, ISSN 0008-4395
Publisher: Canadian Mathematical Society

Balanced ideals and domains of discontinuity of Anosov representations

Author(s): Stecker, Florian
Published in: Geometriae Dedicata, Issue 218, 2024, Page(s) article number 9, ISSN 0046-5755
Publisher: Kluwer Academic Publishers

Hausdorff dimension of limit sets for projective Anosov representations

Author(s): Glorieux, Olivier; Monclair, Daniel; Tholozan, Nicolas
Published in: Journal de l'Ecole Polytechnique -- Mathématiques, Issue 10, 2023, Page(s) 1157-1193, ISSN 2429-7100
Publisher: Ecole polytechnique

Eigenvalue gaps for hyperbolic groups and semigroups

Author(s): Kassel, Fanny; Potrie, Rafael
Published in: Journal of Modern Dynamics, Issue 18, 2022, Page(s) 161-208, ISSN 1930-5311
Publisher: American Institute of Mathematical Sciences

Spectral analysis on pseudo-Riemannian locally symmetric spaces

Author(s): Kassel, Fanny; Kobayashi, Toshiyuki
Published in: Proceedings of the Japan Academy, Ser. A, Mathematical Sciences, Issue 96, 2020, Page(s) 69-74, ISSN 0386-2194
Publisher: Nippon Gakushiin/Japan Academy

Random triangles on flat tori

Author(s): Glorieux, Olivier; Yarmola, Andrew
Published in: Rocky Mountain Journal of Mathematics, Issue 52, 2022, Page(s) 1345-1354, ISSN 0035-7596
Publisher: Rocky Mountain Mathematics Consortium

Random path in negatively curved manifolds

Author(s): Boulanger, Adrien; Glorieux, Olivier
Published in: Annales Henri Lebesgue, Issue 5, 2022, Page(s) 1295-1328, ISSN 2644-9463
Publisher: Centre Mersenne

Relatively dominated representations

Author(s): Zhu, Feng
Published in: Annales de l'Institut Fourier, 2022, ISSN 0373-0956
Publisher: Association des Annales de I'Institut Fourier

Anosov groups that are indiscrete in rank one

Author(s): Douba, Sami; Tsouvalas, Konstantinos
Published in: International Mathematics Research Notices, 2023, ISSN 1073-7928
Publisher: Oxford University Press

Convex cocompactness for Coxeter groups

Author(s): Danciger, Jeffrey; Guéritaud, François; Kassel, Fanny; Lee, Gye-Seon; Marquis, Ludovic
Published in: Journal of the European Mathematical Society, 2024, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House

Quasi-isometric embeddings inapproximable by Anosov representations

Author(s): Tsouvalas, Konstantinos
Published in: Journal of the Institute of Mathematics of Jussieu, Issue 22, 2023, Page(s) 2497-2514, ISSN 1474-7480
Publisher: Cambridge University Press

Representations having vectors fixed by a Levi subgroup

Author(s): Smilga, Ilia
Published in: Journal of Algebra, Issue 597, 2022, Page(s) 75-115, ISSN 0021-8693
Publisher: Academic Press

Conference proceedings (3)

Action of $w_0$ on $V^L$ for orthogonal and exceptional groups

Author(s): Smilga, Ilia
Published in: Proceedings of the XIVth International Workshop “Lie Theory and its Applications in Physics” (Sofia, Bulgaria, June 2021), Issue 396, 2023, Page(s) 297-303
Publisher: Springer

Discrete subgroups of semisimple Lie groups, beyond lattices

Author(s): Kassel, Fanny
Published in: Proceedings of Groups St Andrews 2022 in Newcastle, 2024
Publisher: Cambridge University Press

Geometric structures and representations of discrete groups

Author(s): Kassel, Fanny
Published in: Proceedings of the International Congress of Mathematicians 2018 (ICM 2018), 2019, Page(s) p. 1113-1150
Publisher: World Scientific

Other (16)

Critical exponents of normal subgroups in higher rank

Author(s): Glorieux, Olivier; Tapie, Samuel
Published in: 2020
Publisher: preprint

Piecewise circular curves and positivity

Author(s): Burelle, Jean-Philippe; Kirk, Ryan
Published in: 2021
Publisher: preprint

Patterson--Sullivan densities in convex projective geometry

Author(s): Blayac, Pierre-Louis
Published in: 2021
Publisher: preprint

Anosov representations, strongly convex cocompact groups and weak eigenvalue gaps

Author(s): Tsouvalas, Konstantinos
Published in: 2020
Publisher: preprint

Cubulated hyperbolic groups admit Anosov representations

Author(s): Douba, Sami; Fléchelles, Balthazar; Weisman, Theodore; Zhu, Feng
Published in: 2023
Publisher: preprint

Topological restrictions on relatively Anosov representations

Author(s): Tsouvalas, Konstantinos; Zhu, Feng
Published in: 2024
Publisher: preprint

Cartan projections of fiber products and non quasi-isometric embeddings

Author(s): Tsouvalas, Konstantinos
Published in: 2022
Publisher: preprint

Ergodicity and equidistribution in strictly convex Hilbert geometry

Author(s): Zhu, Feng
Published in: 2020
Publisher: preprint

On regular subgroups of $\mathsf{SL}_3(\mathbb{R})$

Author(s): Douba, Sami; Tsouvalas, Konstantinos
Published in: 2023
Publisher: preprint
DOI: 10.48550/arxiv.2306.11262

Uniform Lipschitz extension in bounded curvature

Author(s): Guéritaud, François
Published in: 2019
Publisher: preprint

The embedding of the space of negatively curved surfaces in geodesic currents

Author(s): Glorieux, Olivier
Published in: 2019
Publisher: preprint

Spectral analysis on standard locally homogeneous spaces

Author(s): Kassel, Fanny; Kobayashi, Toshiyuki
Published in: 2019
Publisher: preprint

Anosov triangle reflection groups in SL(3,R)

Author(s): Lee, Gye-Seon; Lee, Jaejeong; Stecker, Florian
Published in: 2021
Publisher: preprint

"$\mathbb{H}^{p,q}$-convex cocompactness and higher higher Teichm\""uller spaces"

Author(s): Beyrer, Jonas; Kassel, Fanny
Published in: 2023
Publisher: preprint

The Hölder exponent of Anosov limit map

Author(s): Tsouvalas, Konstantinos
Published in: 2023
Publisher: preprint

Action of $w_0$ on $V^L$: the special case of $\mathfrak{so}(1,n)$

Author(s): Smilga, Ilia
Published in: 2023
Publisher: preprint