| Equipe(s) | Responsable(s) | Salle | Adresse |
|---|---|---|---|
| Analyse Algébrique Analyse Complexe et Géométrie |
P. Guihéneuf, V. Humilière, T. Lefeuvre, B. Petri, A. Sambarino |
15-25-502 et 15-16-413 |
Une journée avec trois exposé sur la dynamique et la soutenance HDR de Thibault Lefeuvre
| Orateur(s) | Titre | Date | Début | Salle | Adresse | ||
|---|---|---|---|---|---|---|---|
| + | Ursula Hamenstädt | The pressure metric on quasi-Fuchsian space | 07/12/2023 | 10:00 | 15-25-502 | ||
Thermodynamical formalism can be used to construct a Riemannian (pseudo)-metric on quasi-Fuchsian space. We show that this metric has finite diameter. The key point, of independent interest, is the study of positive eigenfunctions on hyperbolic 3-manifolds whose fundamental group is isomorphic to a surface group. This is based on joint work with Elia Fioravanti, Frieder Jaeckel and Yongquan Zhang. |
 | ||||||
| + | Mark Pollicott | Asymptotic properties of geodesics on flat surfaces | 07/12/2023 | 11:15 | 15-25-502 | ||
For closed surfaces of negative curvature ideas from ergodic theory can be used to count (closed) geodesics and to prove natural equidistribution and rigidity results (eg in the work of Margulis and Katok). We will discuss how some of the results have analogues for flat surfaces (with conical singularities). |
| ||||||
| + | Karen Butt | Closed geodesics and stability of negatively curved metrics | 07/12/2023 | 14:00 | 15-16-413 | ||
The marked length spectrum of a closed Riemannian manifold of negative curvature is a function on the free homotopy classes of closed curves which assigns to each class the length of its unique geodesic representative. It is known in certain cases that the marked length spectrum determines the metric up to isometry, and this is conjectured to be true in general. In this talk, we explore to what extent the marked length spectrum on a sufficiently large finite set approximately determines the metric. |
| ||||||
| + | Thibault Lefeuvre | Soutenance HDR | 07/12/2023 | 15:30 | 15-16-413 | ||
|
| |||||||