Conférences

IMJ-PRG summer school : Microlocal and probabilistic methods in dynamics and geometry (JULY 3-7, 23, CAMPUS DE JUSSIEU)

Co-organized with Mihajlo Cekić, Oana Ivanovici, Frédéric Naud.

Microlocal analysis and probabilistic methods have encountered a large success in the past decade, both in hyperbolic dynamics and in geometry. These developments led to a number of spectacular results and, on one hand, this summer school aims to celebrate the success of such methods by bringing together the leading specialists as well as the young researchers starting their career in these fields. On the other hand, its goal is to serve as a fertile environment and to provide young participants with the state-of-the-art analytic and probabilistic techniques used in geometry and dynamics.

Deadline for registration: 28/02/2023


ANALYTIC TECHNIQUES IN DYNAMICS AND GEOMETRY (MAY 28 – JUNE 2, 23, LES DIABLERETS, SWITZERLAND)

Co-organized with Artur Avila, Mihajlo Cekić.

This workshop aims at bringing together mathematicians making use of analytic methods in their study of dynamics, geometry, PDEs, or inverse problems.

In the past twenty years, microlocal and functional analysis techniques have encountered a large success both in hyperbolic dynamics and geometry as they turned out to be ripe enough to tackle unsolved problems in these areas. This development was followed by a number of spectacular results and, on one hand, this workshop aims to celebrate the success of such methods by bringing together the leading specialists. On the other hand, its goal is to serve as a fertile environment for the advancement of analytic methods in more complicated dynamical systems, such as partially hyperbolic or parabolic, by gathering the pioneers in these areas at one place and spurring a novel exchange of ideas between experts in analysis and dynamics. Topics should include:

• the theory of Pollicott-Ruelle resonances and transfer operators in hyperbolic dynamics;

• analytic methods in non-hyperbolic dynamics (frame and horocycle flows, for instance);

• geometric inverse problems;

• scattering resonances, spectral rigidity, quantum ergodicity, or semiclassical phenomena.