Geometry seminar

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Spring Semester 2020

Date / Time Speaker Title Location
4 March 2020
15:45-16:45
Davide Spriano
ETH Zurich, Switzerland
Details

Geometry Seminar

Title Generalizing hyperbolicity via local-to-global behavior
Speaker, Affiliation Davide Spriano, ETH Zurich, Switzerland
Date, Time 4 March 2020, 15:45-16:45
Location HG G 43
Abstract An important property of a Gromov hyperbolic space is that every path that is locally a quasi-geodesic is globally a quasi-geodesic. A theorem of Gromov states that this is a characterization of hyperbolicity, which means that all the properties of hyperbolic spaces and groups can be traced back to this simple fact. In this talk we generalize this property by considering only Morse quasi-geodesic.  We show that not only this allows to consider a much larger class of examples, such as CAT(0) spaces, hierarchically hyperbolic spaces and fundamental groups of 3-manifolds, but also to effortlessly generalize several results from the theory of hyperbolic groups that were previously unknown in this generality.
Generalizing hyperbolicity via local-to-global behaviorread_more
HG G 43
11 March 2020
15:45-16:45
Gabriel Pallier
Università di Pisa
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Geometry Seminar

Title Invariants for sublinear bilipschitz equivalence
Speaker, Affiliation Gabriel Pallier, Università di Pisa
Date, Time 11 March 2020, 15:45-16:45
Location HG G 43
Abstract Sublinear bilipschitz equivalences between metric spaces are generalized quasiisometries. In this generalization, the large-scale Lipschitz behavior is kept, while the (uniformly) coarse behavior is not kept. These equivalences appear in the study of asymptotic cones of Lie groups by Cornulier. They occur especially between families of non-pairwise quasiisometric nilpotent or solvable connected Lie groups with close structure. In this talk, I will give an introduction to sublinear bilipschitz equivalences and report on my work on revisiting the classical quasiisometric invariants of groups to determine which of them can be turned into sublinear asymptotic invariants. This lies in continuation of Gromov's questions of classifying homogeneous spaces (e.g. Riemannian symmetric spaces and noncompact solvmanifolds) up to quasiisometry and investigate their quasiisometric rigidity. I will present a partial classification result for the Riemannian homogeneous spaces of negative curvature, and discuss the open problem of determining which groups are sublinearly bilipschitz equivalent to real hyperbolic spaces.
Invariants for sublinear bilipschitz equivalenceread_more (CANCELLED)
HG G 43
8 April 2020
15:45-16:45
Peter Haïssinski
Université d'Aix-Marseille
Details

Geometry Seminar

Title Title T.B.A.
Speaker, Affiliation Peter Haïssinski, Université d'Aix-Marseille
Date, Time 8 April 2020, 15:45-16:45
Location HG G 43
Title T.B.A. (CANCELLED)
HG G 43
15 April 2020
15:45-16:45
Details

Geometry Seminar

Title Easter Break
Speaker, Affiliation
Date, Time 15 April 2020, 15:45-16:45
Location HG G 43
Easter Break
HG G 43
29 April 2020
15:45-16:45
Gérard Besson
Institut Fourier, Université de Grenoble
Details

Geometry Seminar

Title Title T.B.A.
Speaker, Affiliation Gérard Besson, Institut Fourier, Université de Grenoble
Date, Time 29 April 2020, 15:45-16:45
Location HG G 43
Title T.B.A. (CANCELLED)
HG G 43
20 May 2020
15:45-16:45
Lisa Picrillo
Massachusetts Institute of Technology
Details

Geometry Seminar

Title Title T.B.A.
Speaker, Affiliation Lisa Picrillo, Massachusetts Institute of Technology
Date, Time 20 May 2020, 15:45-16:45
Location HG G 43
Title T.B.A. (CANCELLED)
HG G 43
20 May 2020
15:45-16:45
Dr. Bram Petri
Université Sorbonne
Details

Geometry Seminar

Title ONLINE Seminar - Statistics of finite degree covers of torus knot complements
Speaker, Affiliation Dr. Bram Petri, Université Sorbonne
Date, Time 20 May 2020, 15:45-16:45
Location ONLINE Seminar
Abstract A classical theorem due to Hempel states that the fundamental group of a compact three manifold is residually finite. In other words, the manifold has many finite degree covers. This leads to the question how many such covers there are of a given degree, what their typical properties are and what data of the manifold is encoded in these statistics. In this talk, I will speak about joint work with Elizabeth Baker in which we studied these questions for torus knot complements.
ONLINE Seminar - Statistics of finite degree covers of torus knot complementsread_more
ONLINE Seminar
27 May 2020
15:45-16:45
Bram Petri
Université Paris Diderot, Paris 7
Details

Geometry Seminar

Title Statistics of finite degree covers of torus knot complements
Speaker, Affiliation Bram Petri, Université Paris Diderot, Paris 7
Date, Time 27 May 2020, 15:45-16:45
Location ONLINE Seminar
Abstract A classical theorem due to Hempel states that the fundamental group of a compact three manifold is residually finite. In other words, the manifold has many finite degree covers. This leads to the question how many such covers there are of a given degree, what their typical properties are and what data of the manifold is encoded in these statistics. In this talk, I will speak about joint work with Elizabeth Baker in which we studied these questions for torus knot complements.
Statistics of finite degree covers of torus knot complementsread_more
ONLINE Seminar

Organisers: Marc Burger, Manfred Einsiedler, Peter Feller, Alessandra Iozzi, Urs Lang, Viktor Schröder, Alessandro Sisto

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