Gaussian Isoperimetry and Related Topics III

This course aims to teach students about the Gaussian isoperimetric inequality and its applications in probability and analysis. By exploring various consequences and connections, students will learn how to apply this inequality to prove concentration inequalities and understand its equivalence to a Sobolev-type inequality. The teaching method involves proving the Gaussian isoperimetric inequality using geometric measure theory. This course is intended for learners interested in advanced topics in mathematics, particularly in probability and analysis.