Distinguished Lecture——Systems of points with Coulomb interactions
报告人：Sylvia Serfaty (Sorbonne Université, Courant Institute of New York University)
时间：2025-04-24 14:00-15:00
地点：智华楼王选报告厅
Abstract: Large ensembles of points with Coulomb interactions arise in various settings of condensed matter physics, classical and quantum mechanics, statistical mechanics, random matrices and even approximation theory, and they give rise to a variety of questions pertaining to analysis, Partial Differential Equations and probability.
We will first review these motivations, then present the ''mean-field'' derivation of effective models and equations describing the system at the macroscopic scale. We then explain how to analyze the next order behavior, giving information on the configurations at the microscopic level and connecting with crystallization questions, and finish with the description of the effect of temperature.
Short bio: Sylvia Serfaty received her PhD in 1999 from Université Paris Sud. She is currently Professeur at Sorbonne Université and Silver Professor at the Courant Institute of New York University. She works in the field of partial differential equations and mathematical physics. Her work has particularly focused on vortices in the Ginzburg-Landau model of superconductivity and on the statistical mechanics and dynamics of Coulomb-type systems.
In 2004, she was awarded the EMS Prize for her contributions to Ginzburg–Landau theory. Her other distinctions include the Henri Poincaré Prize in 2012, the Mergier–Bourdeix Prize of the French Academy of Sciences in 2013, and the Maryam Mirzakhani prize of the National Academy of Sciences in 2024. She was elected to the American Academy of Arts and Sciences in 2019.
