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Anton Thalmaier (University of Luxembourg)

Abstract: We explain some new formulas for the Hessian of the heat semigroup generated by the Laplace-Beltrami operator on a Riemannian manifold and describe geometric applications related to Calderón-Zygmund type inequalities. Our approach relies on probabilistic methods from Stochastic Analysis.

If time permits we also describe new versions of log-Sobolev and transportation inequalities connecting relative entropy, Stein discrepancy and relative Fisher information on Riemannian manifolds.

Type
Colloquium
Target Audience
General Public
Admission
Free
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