Organization board: Sébastien Boucksom, Yann Rollin, Carl Tipler
Scientific board: Claudio Arezzo, Olivier Biquard, Paul Gauduchon, Michael Singer
Kähler geometry is a very active research field, at the crossroads between algebraic and Riemannian geometry. Important breakthrough, that lead to solve the Yau-Tian-Donaldson conjecture in the Fano case, have been achieved recently. A spring school involving mini-lectures and talks around this thread of new ideas in Kähler geometry is organized at Nantes University. The goal of the school is to develop certain technical skills, useful to address a variety of important questions in algebraic geometry and global analysis on manifolds, aimed for PhD students and young researchers. Geometric flows, like the Kähler-Ricci flow for instance, and the associated quantification by the Donaldson dynamical system, will be among the essential tools dealt with during the school.
Conference - Teichmüller Theory in Higher Dimension and Mirror Symmetry
Teichmüller theory and mirror symmetry are very active domains. In this conference, we propose two series of lectures by two world leaders :
Misha Verbitsky on Teichmüller theory
Hirochi Iritani on mirror symmetry
Both will gave each morning an one hour lecture followed in the afternoon by more advanced results by internationnal mathematicians. The goal of this conference is to bring together matematicians from different backgrounds and also to give an overview of the subjetcs to young PhD and post-doc students.
Hiroshi Iritani, Kyoto University
Misha Verbitsky, HSE Moscow
Gaetan Borot, Max Planck Institut, Bonn
Fabrizio Catanese, University of Bayreuth
Amerik Ekaterina, University of Orsay (tbc)
Maxim Kontsevich, IHES (tbc)
Thomas Reichelt, University of Heidelberg
Claude Sabbah, Ecole polytechnique
Andrei Teleman, University of Aix-Marseille
Dimitri Zvonkine, University Pierre et Marie Curie
Organization board: Yves Coudène, François Maucourant, Françoise Pène, Barbara Schapira, Samuel Tapie
Scientific board: Jon Aaronson, Jean-Pierre Conze, Gilles Courtois, Domokos Szasz
This conference will focus on dynamical systems which naturally preserve a measure with infinite mass. These systems appear in a geometric or probabilistic context, or may come from natural sciences. When the invariant measure has infinite mass, recurrence is no longer automatic, usual mixing properties disappear and new asymptotical properties (such as rationnal ergodicity) may occur. Such systems may develop various and subtil behaviours, which could not exists in finite measure dynamics.
This conference will gather international experts on this topic, and will allow young researcher to have an easy access to the large recent developpment on such questions.
Conference - Dynamics of algebraic transformations
Organization board: Ian Biringer, Ludovic Marquis, Juan Souto
Scientific board: Uri Bader, Jeffrey F. Brock, Jean-Marc Schlenker
Numerous areas of mathematics are touched by what could be called Dynamics on representation varieties. For instance one could mention ergodic theory, Riemannian geometry, low-dimensional topology, Teichmüller theory, and so on... The aim of this workshop is to bring together graduate students, recent graduates and experts in these different areas, giving everybody ample time for discussions and collaborations. Next to a number of research talks, three mini-courses by Tsachik Gelander, Francois Labourie and Julien Marché will take place.
Summer schools - Normal forms and large time behavior for nonlinear PDE
This summer school took place at the Faculté des Sciences et Techniques, Université de Nantes, from June, 22nd to July, 3rd, 2015. The organization committee is the following : Erwan Faou, Benoît Grébert, Eric Paturel
Mini-courses and talks have been captured and are available
Presentation of the field
If normal forms were initially used in a finite dimensional setting, for a better understanding of the long time behavior of dynamical systems, their extension to partial differential equations, especially in the nonlinear case, have led to important progresses during this last decade. More than useful tools, they put in light some characteristic phenomena in complex situations where nonlinearity play a fondamental rôle. The aim of this summer school is to show their great adaptability in various fields (Hamiltonian PDEs, fluid mechanics, numerical analysis), and to explain how it works, in a manner accessible to starting researchers.