The program will feature participant presentations, a poster session, and a mini-lecture series on Stochastic Analysis on Manifolds by Elton Hsu (Northwestern University). In addition, El Hassan Essaky (Cadi Ayyad University) will deliver a 60-minute introductory lecture on Backward Stochastic Differential Equations.
We offer a soft skills workshop titled “Finish in Time”, led by Åsa Burman, focussing on effective time management.
The event will include a conference dinner and provide ample opportunities for both scientific and social interaction.
Elton Hsu's lecture series on Stochastic Analysis on Manifolds consists of five lectures. The lectures will be concerned with the following topics:
Lecture 1: Seminartingale, Brownian motion, SDE, and diffusion processes in euclidean space;
Lecture 2: SDE on manifolds, geometry of frame bundles, Brownian motion on Riemannian manifolds;
Lecture 3: Radial process, heat kernel, gradient estimates, comparison theorems and asymptotics;
Lecture 4: Tensor fields and their stochastic parallel translation, Brownian bridge asymptotics and index theorems (e.g., Gauss-Bonnet-Chern theorem);
Lecture 5: Analysis on the path space over a manifold, functional (Beckner, logarithmic Sobolev, Poincare) inequalities.