Lecture Series: Interactions of Geometry and Probability
March 24 - 27, 2025
Aimed at
For researchers and postgraduate students.
There will be certificate for those attending 100% of the lectures.
Abstract
The purpose of this minicourse is to introduce new approaches to, and applications of, some classical topics in stochastic differential geometry. Our primary example is a recently discovered unity between the construction of Brownian motion on Riemannian manifolds and the Nash embedding theorems.
We will introduce both the analytic and probabilistic approaches to critical exponent phenomena in these theorems, along with simplified models and scientific applications.