Geometric Variational Problems: Regularity vs Singularity Formation
Offered By: Stony Brook Mathematics via YouTube
Course Description
Overview
Explore geometric variational problems and their heat flows in this mathematics colloquium talk delivered by Yannick Sire from Johns Hopkins University. Delve into techniques for addressing existence, regularity, and singularity formation in various geometric problems inspired by harmonic map variations, Yang-Mills connections construction, and nematic liquid crystals. Discover recent advancements in constructing fine asymptotics of blow-up solutions through a novel gluing method designed for parabolic flows. Gain insights into open problems and potential generalizations in this field, emphasizing the flexibility of the discussed techniques.
Syllabus
Geometric variational problems: regularity vs singularity formation - Yannick Sire
Taught by
Stony Brook Mathematics
Related Courses
Harmonic Maps and RigidityFields Institute via YouTube Harmonic Maps Between Surfaces and Teichmüller Theory - Lecture 1
International Centre for Theoretical Sciences via YouTube Mapping Riemannian Manifolds in Metric Spaces
Stony Brook Mathematics via YouTube Continuous Time Bubbling for the Harmonic Map Heat Flow in Two Dimensions
Institut des Hautes Etudes Scientifiques (IHES) via YouTube Harmonic Maps and Random Walks on Countable Groups
Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube