Geometry brings into play various spaces, such as Riemannian, Kähler or symplectic manifolds, graphs, and moduli spaces. By nature, it is intricately linked with many other mathematical fields, particularly Algebra, Topology and Group Theory. For more than a century, close interactions with dynamical systems have developed, as geometry has been providing examples such as billiards, geodesic flows, Hamiltonians, the Ricci flow, etc.
The study of such dynamical systems and their asymptotic properties has turned out to be a powerful tool in solving geometric problems, beautifully illustrated by the proof by Grigori Perlman of the Poincaré Conjecture using the Ricci flow on 3-dimensional manifolds.
The semestre "Dynamics and geometry", organized by the Centre Henri Lebesgue, will present recent progress around this interaction between dynamical systems and geometry, bringing together many international experts on the topic. It will also offer several conferences together with mini-courses, in order to make these topics accessible to a broad audience, including young researchers.
Scientific commitee: Angers : Laurent Meersseman, Brest : Carl Tipler, Nantes : Yann Rollin, Samuel Tapie, Rennes : Rémi Coulon, Françoise Dal’bo, Nizar Demni, Vannes : Gael Meigniez
Schools
Flows and Limits in Kähler Geometry (in partnership with Defimaths)
Nantes, from April 18th to April 22nd
Organization board: Sébastien Boucksom, Yann Rollin, Carl Tipler
Scientific board: Claudio Arezzo, Olivier Biquard, Paul Gauduchon, Michael Singer
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
Conferences
CAST - Contact and Symplectic Topology
Nantes, from January 26th to January 28th
Organization board: Baptiste Chantraine, Vincent Colin, Paolo Ghiggini
Scientific board: Jean-François Barraud, Baptiste Chantraine, Kai Cieliebak, Tobias Ekholm
Teichmüller Theory in Higher Dimension and Mirror Symmetry (in partnership with the CNRS)
Angers, from April 24th to April 28th
Organization board: Frédéric Mangolte, Etienne Mann, Laurent Meersseman, Alexis Roquefeuil
Brest, from June 6th to June 9th
Organization board: Yves Coudène, François Maucourant, Françoise Pène, Barbara Schapira, Samuel Tapie, Annick Nicolle
Scientific board: Jon Aaronson, Jean-Pierre Conze, Gilles Courtois, Domokos Szasz
Families of algebraic dynamical systems
Rennes, from June 12th to June 16th
Organization board: Serge Cantat, Christophe Dupont
Scientific board: Matthew Baker, Eric Bedford, Serge Cantat, Christophe Dupont, Mattias Jonsson
Random walks on algebraic structures-On honour of Yves Guivarc'h
Rennes, from June 19th to June 23rd
Organization board: Bachir Bekka, Nizar Demni
Scientific board: Bachir Bekka, Emmanuel Breuillard, Nizar Demni, Alex Lubotzky
Dynamics on representation varieties (in partnership with ERC, University of Luxembourg)
Rennes, from June 26th to June 30th
Organization board: Ian Biringer, Ludovic Marquis, Juan Souto
Scientific board: Uri Bader, Jeffrey F. Brock, Jean-Marc Schlenker
Young researcher meeting in dynamics and geometry (in partnership with GDR N° 3341 Platon)
Rennes, from September 6th to September 8th
Organization board: Françoise Dal'Bo, Frédéric Paulin, Barbara Schapira, Damien Thomine
Roscoff, from October 9th to October 13th
Organization board: Paul Baird, Gilles Carron, Ali Fardoun, Carl Tipler
Scientific board: Gérard Besson (CNRS, Institut Fourier), Olivier Biquard (ENS Paris), Ahmad El Soufi (Univ. Tours)