Singularities of Teichmueller Harmonic Map Flow - Melanie Rupflin

Offered By: Institute for Advanced Study via YouTube

Course Description

Overview

Explore the intricacies of Teichmueller harmonic map flow in this 55-minute lecture by Melanie Rupflin from the University of Oxford. Delivered as part of the Workshop on Geometric Functionals: Analysis and Applications at the Institute for Advanced Study, delve into topics such as gradient flow, hop differential, conformity, and singularities. Examine the solution, symmetries, and generalization of the flow, with a focus on its behavior and degenerating parts. Investigate injectivity properties and theorems related to the rescaled flow, gaining insights into this complex mathematical concept.

Syllabus

Introduction
Gradient flow
Hop differential
Conformity
Singularities
Solution
Symmetries
Flow
Generalization
Behavior
Degenerating part
Injectivity
Properties
Theorem
Rescaled flow

Taught by

Institute for Advanced Study

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