Author Archives: Fabrice Baudoin

Lecture 1: Semigroups and generators

Contents Preliminaries: Self-adjoint Operators Semigroups and generators Preliminaries: Self-adjoint Operators Let (H,⟨⋅,⋅⟩) be a Hilbert space with norm ‖f‖2=⟨f,f⟩ and let A be a H-valued densely defined operator on a domain 𝒟(A). We recall the following basic definitions. The operator … Continue reading

Posted in Dirichlet forms at NYU | Tagged , | Leave a comment

Dirichlet forms at NYU Abu Dhabi

On January 20, I will give a 4 hours mini course on the Dirichlet forms at the NYU campus of Abu Dhabi. Lectures will be posted on this blog and I will prepare an extended set of lecture notes. This … Continue reading

Posted in Dirichlet forms at NYU | Tagged , | 2 Comments

Stochastic areas

My new book written in collaboration with Nizar Demni and Jing Wang is now available. This book is a self-contained introduction to the theory of Brownian motions and heat kernels on matrix Lie groups and manifolds, with an emphasis on … Continue reading

Posted in Uncategorized | Leave a comment

Lecture 25, Einstein manifolds

Further topics, part 2

Posted in Einstein manifolds | Leave a comment

Lecture 24, Einstein manifolds

Further topics

Posted in Einstein manifolds | Leave a comment

Lecture 23, Einstein manifolds

In this lecture we prove that quaternion Kahler manifolds are Einstein.

Posted in Einstein manifolds | Leave a comment

Lecture 22, Einstein manifolds

In this lecture, we keep going over the Calabi-Yau theorem and start speaking about quaternion Kahler manifolds.

Posted in Einstein manifolds | Leave a comment

Lecture 21, Ricci form and Calabi-Yau theorem

Posted in Einstein manifolds | Leave a comment

Lecture 20, Einstein manifolds

In this lecture, we review some basics about Kahler manifolds.

Posted in Einstein manifolds | Leave a comment

Lecture 19, Einstein manifolds

In this lecture we prove that compact semisimple Lie groups are Einstein manifolds.

Posted in Einstein manifolds | Leave a comment