Departement Mathematik

Geometry seminar

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Herbstsemester 2014

Datum / Zeit Referent:in Titel Ort
1. Oktober 2014
15:45-16:45 		Domingo Toledo
University of Utah, Salt Lake City
Details

Geometry Seminar

Titel Self-interesections of closed complex geodesics in complex hyperbolic surfaces
Referent:in, Affiliation Domingo Toledo, University of Utah, Salt Lake City
Datum, Zeit 1. Oktober 2014, 15:45-16:45
Ort HG G 43
Abstract A complex hyperbolic surface is a compact, smooth complex surface covered by the unit ball. A closed complex geodesic is a compact (immersed) complex curve that is totally geodesic in the invariant metric. Complex hyperbolic surfaces with arithmetic fundamental group are divided into two classes: those that have no closed complex geodesics, and those that have infinitely many. In the latter case, only finitely many complex geodesics are embedded, in fact the number of self-intesections must grow with the area. A proof of this fact will be presented, as a consequence of an equidistribution for theorem for complex geodesics derived from Ratner’s theorem. This is joint work with Martin Möller.
Self-interesections of closed complex geodesics in complex hyperbolic surfacesread_more
HG G 43
15. Oktober 2014
15:45-16:45 		David Hume
UC Louvain
Details

Geometry Seminar

Titel Acylindrical hyperbolicity for groups acting on buildings
Referent:in, Affiliation David Hume, UC Louvain
Datum, Zeit 15. Oktober 2014, 15:45-16:45
Ort HG G 43
Abstract We give a sufficient condition to detect acylindrical hyperbolicity of a group from a specified action on a non-spherical building and use it to deduce the above property for arbitrary graph products and orthogonal forms of Kac-Moody groups. This is joint work with Pierre-Emmanuel Caprace.
Acylindrical hyperbolicity for groups acting on buildingsread_more
HG G 43
22. Oktober 2014
15:45-16:45 		Oskar Hamlet
Chalmers University of Technology (Sweden)
Details

Geometry Seminar

Titel Tight maps and homomorphisms
Referent:in, Affiliation Oskar Hamlet, Chalmers University of Technology (Sweden)
Datum, Zeit 22. Oktober 2014, 15:45-16:45
Ort HG G 43
Abstract Tight homomorphisms/maps were introduced as a tool for studying certain aspects of representations with maximal Toledo invariant. In this talk I will give a brief introduction to these maps and present an overview of my work classifying them.
Tight maps and homomorphismsread_more
HG G 43
29. Oktober 2014
15:45-16:45 		Andrea Schioppa
ETH Zürich
Details

Geometry Seminar

Titel Vector fields on metric mesure spaces, and 1-rectifiable structure
Referent:in, Affiliation Andrea Schioppa, ETH Zürich
Datum, Zeit 29. Oktober 2014, 15:45-16:45
Ort HG G 43
Abstract In this talk I will describe a general approach to differentiaton of real-valued Lipschitz functions defined on metric measure spaces. As an application, I will discuss a quantitative characterization of differentiability spaces in the sense of Cheeger and Keith.
Vector fields on metric mesure spaces, and 1-rectifiable structureread_more
HG G 43
5. November 2014
15:45-16:45 		Thomas Mettler
ETH Zurich
Details

Geometry Seminar

Titel Projective surfaces, holomorphic curves and the SL(3,R)-Hitchin component
Referent:in, Affiliation Thomas Mettler, ETH Zurich
Datum, Zeit 5. November 2014, 15:45-16:45
Ort HG G 43
Abstract A projective structure P on a surface M is an equivalence class of affine torsion-free connections on M where two connections are called projectively equivalent if they share the same geodesics up to parametrisation. An oriented projective surface (M,P) defines a complex surface Z together with a projection to M whose fibres are holomorphically embedded disks. Moreover, a conformal connection in the projective equivalence class corresponds to a section whose image is a holomorphic curve in Z. Findig a section of Z->M whose image is "as close as possible" to a holomorphic curve turns out to be related to the parametrisation of the SL(3,R)-Hitchin component in terms of holomorphic cubic differentials.
Projective surfaces, holomorphic curves and the SL(3,R)-Hitchin componentread_more
HG G 43
12. November 2014
15:45-16:45 		Andrea Mondino
ETH Zürich
Details

Geometry Seminar

Titel Some analytic and geometric properties of non smooth spaces with lower Ricci curvature bounds
Referent:in, Affiliation Andrea Mondino, ETH Zürich
Datum, Zeit 12. November 2014, 15:45-16:45
Ort HG G 43
Abstract In the talk I will introduce and discuss geometric/analytic properties of non smooth spaces with Ricci curvature lower bounds. Such class contains the Gromov-Hausdorff limits of Riemannian manifolds satisfying Ricci curvature lower bounds and it is a very active field in contemporary research.
Some analytic and geometric properties of non smooth spaces with lower Ricci curvature boundsread_more
HG G 43
26. November 2014
15:45-16:45 		Pierre-Emmanuel Caprace
Université catholique de Louvain
Details

Geometry Seminar

Titel Sharply multiply transitive locally compact groups
Referent:in, Affiliation Pierre-Emmanuel Caprace, Université catholique de Louvain
Datum, Zeit 26. November 2014, 15:45-16:45
Ort HG G 43
Abstract A permutation group is called sharply n-transitive if it acts freely and transitively on the set of ordered n-tuples of distinct points. The investigation of such permutation groups is a classical branch of group theory; it led Emile Mathieu to the discovery of the smallest finite simple sporadic groups in the 1860's. In this talk I will discuss the case where the permutation group is assumed to be a locally compact transformation group, and explain how this set-up is related to Gromov hyperbolicity and to arithmetic lattices in products of trees.
Sharply multiply transitive locally compact groupsread_more
HG G 43
3. Dezember 2014
15:45-16:45 		Binoy Raveendran
Université de Neuchâtel
Details

Geometry Seminar

Titel On geodesic conjugacies
Referent:in, Affiliation Binoy Raveendran, Université de Neuchâtel
Datum, Zeit 3. Dezember 2014, 15:45-16:45
Ort HG G 43
Abstract The question of whether a time-preserving geodesic conjugacy determines a closed, negatively curved Riemannian manifold up to an isometry is one of the central problems in Riemannian geometry. While an answer to the question in this generality has yet remained elusive, we discuss some available affirmative results.
On geodesic conjugaciesread_more
HG G 43

Organisatoren:innen: Marc Burger, Manfred Einsiedler, Alessandra Iozzi, Urs Lang, Viktor Schröder

Archiv: FS 24 HS 23 FS 23 HS 22 FS 22 HS 21 HS 20 FS 20 HS 19 FS 19 HS 18 FS 18 HS 17 FS 17 HS 16 FS 16 HS 15 FS 15 HS 14 FS 14 HS 13 FS 13 HS 12 FS 12 HS 11 FS 11 HS 10 FS 10 HS 09 FS 09

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