Na­chricht­en-Sys­tem

Sum­mer School on Ana­lyt­ic­al As­pects of Hy­per­bol­ic Flows

Nantes, from July 3rd to July 7th

Organization board: Sebastien Gouëzel, Laurent Guillopé, Samuel Tapie

Scientific board: Nalini Anantharaman, Viviane Baladi, Colin Guillarmou, Masato Tsujii

Hyperbolic flows are dynamical systems with strong chaotic properties, whose study has been started a long time ago, a crucial example being the geodesic flow on negatively curved manifolds. Whereas the qualitative properties of such flows are well understood, their fine quantitative properties (rate of mixing, spectrum...) require more sophisticated tools. They have been studied both from a dynamical point of view (Dolgopyat's techniques) and more analytically: semi-classical methods, initially introduced to study PDEs, have proven very valuable in this context.

The purpose of this summer school is to make these different techniques accessible to PhD students and young researchers, as well as to give an opportunity for specialists in dynamical systems to learn tools from semi-classical analysis, and conversely. Therefore, the core of this summer school will consist in three introductive mini-courses, completed by a few research talks and question sessions.

Three mini-courses presenting complementary aspects and techniques on hyperbolic flows will form the core of this Summer School. They will be given by S. Dyatlov (M.I.T.), L. Flaminio (U. Lille 1) and C. Liverani (U. Roma Tor Vergata).

Research talks will complete these mini-courses, given by:

A. Drouot (U. Berkeley), F. Faure (U. Grenoble Alpes), F. Naud (U. Avignon), G. Paternain (U. Cambridge), F. Pène (U. Brest), M. Tsujii (Kyushu U.), T. Weich (U. Paderborn), M. Zworski (U. Berkeley).

More details on the webpage <link http: www.lebesgue.fr content sem2017-dyn-hyp moz-txt-link-freetext>www.lebesgue.fr/content/sem2017-Dyn-Hyp.