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Fakultät für Mathematik

Karlsruher Institut für Technologie
D-76128 Karlsruhe
Tel.: +49 721 608-43800

Heidelberg-Karlsruhe-Strasbourg Geometry Day XI

Ort: SR 1.067 (20.30)
Termin: 22.6.2018, 10:30 - 16:30 Uhr
Gastgeber: Prof. Dr. Roman Sauer


Schedule


Time SpeakerTitleRoom
10:30 - 11:00 coffee and tea 1.058 (20.30)
11:00 - 12:00 Charles Frances Conformal Immersions, Singularities and Kleinian Groups 1.067 (20.30)
University of Strasbourg Abstract: We study the conformal immersions between Riemannian manifolds of dimension at least 3, which are defined off a singular set. We will present some sufficient conditions for the singularities to be removable. In the other direction, we will explore the geometrical consequences of the essentiality of the singularities, and make the link with the theory of Kleinian groups.
12:00 - 13:30 lunch break
13:30 - 14:00 coffee and tea 1.058 (20.30)
14:00 - 15:00 Uri Bader From Automorphisms to Quasi-Isometries and Back: A Round Tour with a Few Sightseeing Stops. 1.067 (20.30)
Weizmann Institute Abstract: I will survey the landscape of Automorphism Groups, Commensurability Groups, Quasi-Isometry Groups and alike, focusing on various rigidity results. We will then take a global viewpoint, describing a new perspective on the subject. Based on a joint work with Roman Sauer and Alex Furman.
15:00 - 15:30 coffee and tea 1.058 (20.30)
15:30 - 16:30 Beatrice Pozzetti Critical Exponent and Hausdorff Dimension for Anosov Representations 1.067 (20.30)
University of Heidelberg Abstract: Whenever $\Gamma$ is a convex cocompact subgroup of the group of isometries of the hyperbolic space, Patterson-Sullivan theory allows to relate the asymptotic growth rate of orbit points for the action of $\Gamma$ on $\mathbb H^n$ and the Hausdorff dimension of the limit set of $\Gamma$ in $\partial \mathbb H^n$. Anosov representations form a robust generalization of convex cocompactness for subgroups of higher rank Lie groups. However the relation between Hausdorff dimension of limit set and orbit growth rate is much more elusive since, on the one hand, the action of $\Gamma$ on the boundary is not conformal, and, on the other, many different orbit growth functions can be considered. After describing all the needed background, I'll report on joint work with A. Sambarino and A. Wienhard in which we find large classes of Anosov representations for which we can obtain such a relation.


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Location



KIT | Campus Süd
Kaiserstr. 12 | 76128 Karlsruhe
Campusplan


The talks will take place in room 1.067 (20.30)
Englerstr. 2 | 76131 Karlsruhe



Contact



If you are interested, please contact us by e-mail.




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