BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250712T133447EDT-67029shXML@132.216.98.100 DTSTAMP:20250712T173447Z DESCRIPTION:GEMSTONE mini-course: Harmonic maps\, minimal surfaces\, and sh ape optimization in spectral geometry.\n\nLecture 1\n April 25\n Introductio n to eigenvalue optimisation problems for surfaces. Hersch's theorem: roun d metric on the sphere maximizes the first eigenvalue. Li-Yau's conformal volume with an application to the sharp eigenvalue bounds on the projectiv e plane.\n \n Lecture 2April 27Min-max theory for the energy of sphere-value valued maps. Regularity of conformally maximizing metrics.Lecture 3April 29 Stability of maximizing metrics. Applications to the optimization of St eklov eigenvalues on surfaces with many boundary components.\n\n \n\n \n\n Visite the Web site: https://archimede.mat.ulaval.ca/agirouard/SpectralClo uds\n DTSTART:20220425T160000Z DTEND:20220425T170000Z SUMMARY:Mikhail Karpukhin\, Caltech\, Daniel Stern\, University of Chicago URL:/mathstat/channels/event/mikhail-karpukhin-caltech -daniel-stern-university-chicago-339118 END:VEVENT END:VCALENDAR