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.
Conference - Effective moduli spaces and applications to cryptography
Rennes, from June 10th to June 13th, 2014
Contact: D. Lubicz
Organisation board: M. Bolognesi, D. Lubicz, C. Ritzenthaler
Moduli spaces are parameter spaces for mathematical objects equipped (or
not) with extra structures. The cases of spaces classifying curves and
abelian varieties have been widely studied in their theoretical aspects
which entailed dramatic advances in arithmetic geometry. Nonetheless,
more effective aspects for instance related to rationality questions
or depending on the characteristic of the base field are less well
understood. Certain field of applications require tools and
algorithms to manipulate efficiently these moduli spaces. This is case
for instance of public key cryptography since certain cryptosystems
have public parameters which naturally live inside certain moduli
This conference aims at gathering specialists of moduli spaces of
curves and abelian varieties, algorithmic and cryptography so as to
explore the deep link and the possible interactions between
theoretical and practical aspects of moduli spaces.