School - Analytical aspects of hyperbolic flows

in partnership with ERC

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.

Conference brochure

Here are the files of the talks that the speakers have provided:

  • Livio Flaminio, Dynamics and Harmonic Analysis of SL(2,R), lecture 1

The talks have all been recorded, the videos are available here

DynHyp_photo

Partners

Irmar LMJL ENS Rennes LMBA LAREMA

Affiliation

ANR CNRS Rennes 1 Rennes 2 Nantes INSA Rennes INRIA ENSRennes UBO UBS Angers UBL