Analysis Seminar

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Sharp commutator estimates for the variation of Coulomb and Riesz energies

Speaker: Sylvia Serfaty, Sorbonne Université, LJLL

Location: Warren Weaver Hall 1302

Date: Thursday, October 23, 2025, 11 a.m.

Synopsis:

We will discuss joint works, in particular with Matt Rosenzweig and with Elias Hess-Childs and Matt Rosenzweig that prove sharp functional inequalities of commutator nature for Coulomb and Riesz energies. These are useful for deriving mean-field limits or effective evolution equations for large systems of points in singular (Coulomb or Riesz type) interaction, and for studying fluctuations of such systems with noise at equilibrium.