Centre Henri Lebesgue
Université de Rennes 1 - Campus de Beaulieu
Since the pioneering work of K. Itô on the parallel transport along Brownian paths in the early 1960s, the study of interactions between probabilities and differential geometry has become a very rich branch of mathematics. The stochastic approach often proves powerful in (pseudo)-Riemannian Geometry (index formula of Atiyah-Singer, Greew-Wu conjecture) and back recent progress on the geometry of infinite dimensional manifolds help to understand the structure of paths spaces of stochastic processes. The purpose of this meeting is to provide an update on the latest developments at the interface between probability theory and geometry and to initiate new interactions.
The Lebesgue center chose to devote his first thematic semester, to be held in spring 2013, to the rich and close links between probability theory, analysis and the study of partial differential equations. The semester will highlight major recent advances in this broad field and will promote interactions between researchers from many different backgrounds and specialities. Among other events, an international Opening Conference, four thematic workshops and a Summer School will be held in Rennes and Nantes.