Dear all,
I would like to announce a second talk that Jacques Franchi (I.R.M.A. Strasbourg) will hold on Thursday, May 9th 2019, at 11 AM in Aula Dal Passo of the Department of Mathematics, University of Rome Tor Vergata.
Speaker: Jacques Franchi (I.R.M.A. Strasbourg)
Title: From Euclidian to Riemannian and Relativistic Diffusions
Abstract: Brownian Motion was first defined (in physics and in mathematics) in R and then in the Euclidian space.
Then it was constructed on a generic Riemannian manifold, and gained a more geometrical status,
which was intensively developed.
More recently, on the unit tangent bundle of the Minkowski space and then of a generic Lorentzian manifold,
was also constructed its analogue, called "relativistic diffusion". It keeps the geometric feature
of being covariant with isometries, but is associated with strictly hypoelliptic and non-self-adjoint generators and kernels.
Examples were studied : the Schwarzschild geometry, the G"odel universe, the Robertson-Walker manifolds.
However the use of relativistic diffusions to address geometrical questions about Lorentzian geometry
or analysis is much harder than in the elliptic (Riemannian) case.
Kind regards,