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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
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
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
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Lecture 23, Einstein manifolds
In this lecture we prove that quaternion Kahler manifolds are Einstein.
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Lecture 22, Einstein manifolds
In this lecture, we keep going over the Calabi-Yau theorem and start speaking about quaternion Kahler manifolds.
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Lecture 20, Einstein manifolds
In this lecture, we review some basics about Kahler manifolds.
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Lecture 19, Einstein manifolds
In this lecture we prove that compact semisimple Lie groups are Einstein manifolds.
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