Research group Geometry, Groups, and Dynamics

Head:
Anna Wienhard

Contact: Email
Phone:
+49 (0) 341 - 9959 - 50

Address:
Inselstr. 22
04103 Leipzig

Administrative Assistant:
Katharina Matschke
Email, Phone/Fax:
+49 (0) 341 - 9959
- 663
- 658

Publications Anna Wienhard

Journal Articles

Daniele Alessandrini ; Arkady Berenstein ; Vladimir Retakh ; Eugen Rogozinnikov and Anna Wienhard: Symplectic groups over noncommutative algebras
In: Selecta mathematica, 28 (2022) 4, 82
Bibtex DOI: 10.1007/s00029-022-00787-x ARXIV: https://arxiv.org/abs/2106.08736
Repository Open Access

Martin Bridgeman ; Beatrice Pozzetti ; Andrés Sambarino and Anna Wienhard: Hessian of Hausdorff dimension on purely imaginary directions
In: The bulletin of the London Mathematical Society, 54 (2022) 3, p. 1027-1050
Bibtex DOI: 10.1112/blms.12612 ARXIV: https://arxiv.org/abs/2010.16308
Repository Open Access

Beatrice Pozzetti ; Andrés Sambarino and Anna Wienhard: Conformality for a robust class of non-conformal attractors
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 2021 (2021) 774, p. 1-51
Bibtex DOI: Conformality for a robust class of non-conformal attractors ARXIV: https://arxiv.org/abs/1902.01303
Repository Open Access

Daniel Spitz ; Jürgen Berges ; Markus Oberthaler and Anna Wienhard: Finding self-similar behavior in quantum many-body dynamics via persistent homology
In: SciPost physics, 11 (2021) 3, 060
Bibtex DOI: 10.21468/SciPostPhys.11.3.060 ARXIV: https://arxiv.org/abs/2001.02616
Journal Open Access

Zhe Sun ; Anna Wienhard and Tengren Zhang: Flows on the \(\mathbf{PGL(V)}\) Hitchin component
In: Geometric and functional analysis, 30 (2020) 2, p. 588-692
Bibtex DOI: 10.1007/s00039-020-00534-4 ARXIV: https://arxiv.org/abs/1709.03580
Repository Open Access

Daryl Cooper ; Jeffrey Danciger and Anna Wienhard: Limits of geometries
In: Transactions of the American Mathematical Society, 370 (2018) 9, p. 6585-6627
Bibtex DOI: 10.1090/tran/7174 ARXIV: https://arxiv.org/abs/1408.4109
Repository Open Access

Anna Wienhard and Tengren Zhang: Deforming convex real projective structures
In: Geometriae dedicata, 192 (2018), p. 327-360
Bibtex DOI: 10.1007/s10711-017-0243-z ARXIV: https://arxiv.org/abs/1702.00580
Repository Open Access

Gabi Ben Simon ; Marc Burger ; Tobias Hartnick ; Alessandra Iozzi and Anna Wienhard: On weakly maximal representations of surface groups
In: Journal of differential geometry, 105 (2017) 3, p. 375-404
Bibtex DOI: 10.4310/jdg/1488503002 ARXIV: https://arxiv.org/abs/1305.2620
Repository Open Access

François Guéritaud ; Olivier Guichard ; Fanny Kassel and Anna Wienhard: Compactification of certain Clifford-Klein forms of reductive homogeneous spaces
In: The Michigan mathematical journal, 66 (2017) 1, p. 49-84
Bibtex DOI: 10.1307/mmj/1488510025 ARXIV: https://arxiv.org/abs/1506.03742
Repository Open Access

François Guéritaud ; Olivier Guichard ; Fanny Kassel and Anna Wienhard: Anosov representations and proper actions
In: Geometry and topology, 21 (2017) 1, p. 485-584
Bibtex DOI: 10.2140/gt.2017.21.485 ARXIV: https://arxiv.org/abs/1502.03811
Repository Open Access

Gabi Ben Simon ; Marc Burger ; Tobias Hartnick ; Alessandra Iozzi and Anna Wienhard: On order-preserving representations
In: The journal of the London Mathematical Society, 94 (2016) 2, p. 525-544
Bibtex DOI: 10.1112/jlms/jdw048 ARXIV: https://arxiv.org/abs/1601.02232
Repository Open Access

Olivier Guichard and Anna Wienhard: Anosov representations : domains of discontinuity and applications
In: Inventiones mathematicae, 190 (2012) 2, p. 357-438
Bibtex DOI: 10.1007/s00222-012-0382-7 ARXIV: https://arxiv.org/abs/1108.0733
Repository Open Access

Anna Wienhard: Remarks on and around bounded differential forms
In: Pure and applied mathematics quarterly, 8 (2012) 2, p. 479-496
Bibtex DOI: 10.4310/PAMQ.2012.v8.n2.a5

Marc Burger ; Alessandra Iozzi and Anna Wienhard: Surface group representations with maximal Toledo invariant
In: Annals of mathematics, 172 (2010) 1, p. 517-566
Bibtex ARXIV: https://arxiv.org/abs/math/0605656 LINK: https://www.jstor.org/stable/20752275
Repository Open Access

Olivier Guichard and Anna Wienhard: Topological invariants of Anosov representations
In: Journal of topology, 3 (2010) 3, p. 578-642
Bibtex DOI: 10.1112/jtopol/jtq018 ARXIV: https://arxiv.org/abs/0907.0273
Repository Open Access

Marc Burger ; Alessandra Iozzi and Anna Wienhard: Tight homomorphisms and Hermitian symmetric spaces
In: Geometric and functional analysis, 19 (2009) 3, p. 678-721
Bibtex DOI: 10.1007/s00039-009-0020-8 ARXIV: https://arxiv.org/abs/0710.5641
Repository Open Access

Olivier Guichard and Anna Wienhard: Domains of discontinuity for surface groups
In: Comptes rendus mathematique, 347 (2009) 17/18, p. 1057-1060
Bibtex DOI: 10.1016/j.crma.2009.06.013
Journal Open Access

Marc Burger ; Alessandra Iozzi ; Nicolas Monod and Anna Wienhard: Bounds for cohomology classes
In: L' enseignement mathématique, 54 (2008) 1/2, p. 52-54
Bibtex DOI: 10.5169/seals-109887
Journal Open Access

Olivier Guichard and Anna Wienhard: Convex foliated projective structures and the Hitchin component for \(PSL_4(\mathbf R)\)
In: Duke mathematical journal, 144 (2008) 3, p. 381-445
Bibtex DOI: 10.1215/00127094-2008-040 ARXIV: https://arxiv.org/abs/math/0702184
Repository Open Access

Marc Burger ; Alessandra Iozzi and Anna Wienhard: Hermitian symmetric spaces and Kähler rigidity
In: Transformation groups, 12 (2007) 1, p. 5-32
Bibtex DOI: 10.1007/s00031-005-1135-0 LINK: https://doc.rero.ch/record/314997
Repository Open Access

Anna Wienhard and Olivier Guichard: Foliated projective structures and the Hitchin component for \(PSL(4,\mathbf R)\) [In: Differentialgeometrie im Grossen : July 1st - July 7th, 2007 ; report no. 32/2007]
In: Oberwolfach reports, 4 (2007) 3, p. 1901-1904
Bibtex DOI: 10.4171/OWR/2007/32

Anna Wienhard: The action of the mapping class group on maximal representations
In: Geometriae dedicata, 120 (2006), p. 179-191
Bibtex DOI: 10.1007/s10711-006-9079-7 ARXIV: https://arxiv.org/abs/math/0605038
Repository Open Access

Anna Wienhard ; Marc Burger and Alessandra Iozzi: Surface groups and Hermitian symmetric spaces [In: Teichmüller space (classical and quantum) : May 28th - June 3rd, 2006 ; report no. 26/2006]
In: Oberwolfach reports, 3 (2006) 2, p. 1546-1548
Bibtex DOI: 10.4171/OWR/2006/26

Marc Burger ; Alessandra Iozzi ; François Labourie and Anna Wienhard: Maximal representations of surface groups: symplectic Anosov structures
In: Pure and applied mathematics quarterly, 1 (2005) 3, p. 543-590
Bibtex DOI: 10.4310/PAMQ.2005.v1.n3.a5 ARXIV: https://arxiv.org/abs/math/0506079
Repository Open Access

Anna Wienhard: Zwischen Flexibilität und Starrheit : Gruppenhomomorphismen und geometrische Strukturen
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 13 (2005) 2, p. 80-83
Bibtex DOI: 10.1515/dmvm-2005-0034 LINK: https://doc.rero.ch/record/300064
Repository Open Access

Anna Wienhard: A generalisation of Teichmüller space in the hermitian context
In: Actes du séminaire de théorie spectrale et géometrie, 22 (2004), p. 103-123
Bibtex LINK: http://www.numdam.org/item?id=TSG_2003-2004__22__103_0
Journal Open Access

Marc Burger ; Alessandra Iozzi and Anna Wienhard: Surface group representations with maximal Toledo invariant
In: Comptes rendus mathematique, 336 (2003) 5, p. 387-390
Bibtex DOI: 10.1016/S1631-073X(03)00065-7 ARXIV: https://arxiv.org/abs/math/0605656
Repository Open Access

Publications in Books and Conference Proceedings

Federico López ; Beatrice Pozzetti ; Steve Trettel ; Michael Strube and Anna Wienhard: Vector-valued distance and gyrocalculus on the space of symmetric positive definite matrices
In: Advances in neural information processing systems 34 : NeurIPS 2021 ; annual conference on neural information processing systems 2021, December 6-14, 2021, virtual / Marc'Aurelio Ranzato (ed.)
2021. - P. 18350-18366
Bibtex ARXIV: https://arxiv.org/abs/2110.13475 LINK: https://proceedings.neurips.cc/paper/2021/hash/98c39996bf1543e974747a2549b3107c-Abstract.html
Repository Open Access

Federico López ; Beatrice Pozzetti ; Steve Trettel ; Michael Strube and Anna Wienhard: Symmetric spaces for graph embeddings : a Finsler-Riemannian approach
In: ICML 2021 : Proceedings of the 38th international conference on machine learning ; 18-24 July 2021
[s. l.] : PMLR, 2021. - P. 7090-7101
(Proceedings of machine learning research ; 139)
Bibtex ARXIV: https://arxiv.org/abs/2106.04941 LINK: https://proceedings.mlr.press/v139/lopez21a.html
Journal Open Access

Anna Wienhard: An invitation to higher Teichmüller theory
In: Proceedings of the international congress of mathematicians 2018 : Rio de Janeiro, Brazil, 1-9 August 2018 / Boyan Sirakov... (eds.)
Hackensack, NJ : World Scientific, 2018. - P. 1013-1039
Bibtex DOI: 10.1142/9789813272880_0086 ARXIV: https://arxiv.org/abs/1803.06870
Repository Open Access

Olivier Guichard and Anna Wienhard: Positivity and higher Teichmüller theory
In: European congress of mathematics : proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18-22, 2016 / Volker Mehrmann (ed.)
Zürich : European Mathematical Society, 2018. - P. 289-310
Bibtex DOI: 10.4171/176-1/13 ARXIV: https://arxiv.org/abs/1802.02833
Repository Open Access

Anna Wienhard: An invitation to higher Teichmüller theory
In: Proceedings of the international congress of mathematicians 2018 : Rio de Janeiro, Brazil, 1-9 August 2018 / Boyan Sirakov... (eds.)
Hackensack, NJ : World Scientific, 2018. - P. 1013-1039
Bibtex DOI: 10.1142/9789813272880_0086 ARXIV: https://arxiv.org/abs/1803.06870
Repository Open Access

Marc Burger ; Alessandra Iozzi and Anna Wienhard: Higher Teichmüller spaces : from \(SL(2,\mathbf R)\) to other Lie groups
In: Handbook of Teichmüller theory : volume 4 / Athanase Papadopoulos (ed.)
Zürich : European Mathematical Society, 2014. - P. 539-618
(IRMA lectures in mathematics and theoretical physics ; 19)
Bibtex DOI: 10.4171/117-1/14 ARXIV: https://arxiv.org/abs/1004.2894
Repository Open Access

Preprints

León Carvajales ; Xian Dai ; Beatrice Pozzetti and Anna Wienhard: Thurston's asymmetric metrics for Anosov representations
Repository Open Access

Olivier Guichard and Anna Wienhard: Generalizing Lusztig's total positivity
Repository Open Access

Olivier Guichard ; François Labourie and Anna Wienhard: Positivity and representations of surface groups
Repository Open Access

Federico López ; Beatrice Pozzetti ; Steve Trettel and Anna Wienhard: Hermitian symmetric spaces for graph embeddings
Repository Open Access

Daniel Spitz and Anna Wienhard: The self-similar evolution of stationary point processes via persistent homology
Repository Open Access

Daniele Alessandrini ; Olivier Guichard ; Eugen Rogozinnikov and Anna Wienhard: Noncommutative coordinates for symplectic representations
Repository Open Access

Beatrice Pozzetti ; Andrés Sambarino and Anna Wienhard: Anosov representations with Lipschitz limit set
Repository Open Access

Thomas Haettel ; Anna-Sofie Schilling and Anna Wienhard: Horofunction compactifications of symmetric spaces
Repository Open Access

Anna Wienhard: Representations and geometric structures
Repository Open Access

Olivier Guichard ; Fanny Kassel and Anna Wienhard: Tameness of Riemannian locally symmetric spaces arising from Anosov representations
Repository Open Access

Gabi Ben Simon ; Marc Burger ; Tobias Hartnick ; Alessandra Iozzi and Anna Wienhard: Weakly maximal representations of surface groups
Repository Open Access

Anna Wienhard: Bounded cohomology and representations of surface groups [Mathematischen Arbeitstagung 2007, MPIM Bonn]
Repository Open Access

Academic Theses

Anna Wienhard: Bounded cohomology and geometry
Dissertation, Universität Bonn, 2004
(Bonner mathematische Schriften ; 368)
Bibtex ARXIV: https://arxiv.org/abs/math/0501258
Repository Open Access
27.11.2022, 05:48