Seminar Analysis: Melanie Rupflin (Leipzig University)

Global solutions and asymptotics of Teichmüller harmonic map flow

Teichmüller harmonic map flow is a gradient flow of the Dirichlet energy which is designed to evolve parametrized surfaces towards critical points of the area. In this talk we will discuss the construction and some new results for this flow and show in particular that for non-positively curved targets the flow changes or decomposes arbitrary closed initial surfaces into minimal immersions (possibly with branch points) through globally defined smooth solutions.

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