Generic full smooth convergence of the elastic energy flow in the 2-sphere

Abstract: The speaker is going to present his recent investigation of the ``Moebius invariant Willmore flow'' (MIWF) in the 3-sphere and of some particular version of the ``elastic energy flow'' (EEF) in the 2-sphere. We will discuss the interaction between these two geometric flows via the Hopf fibration and the resulting possibility to transfer particular insights about the ``EEF'' to the ``MIWF'', and vice versa special insights about the ``MIWF'' back to the ``EEF''. A big motivation for this parallel investigation is the announced proof (by the speaker) of the ''generic full smooth convergence'' of the ``EEF'' in the 2-sphere.

Mathematics

Audience: researchers in the topic

( paper )

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Online Seminar "Geometric Analysis"

Series comments: We discuss recent trends related to geometric analysis in a broad sense. The general idea is to solve geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals, discrete differential geometry, and numerical simulation.

Registration and links to videos available at blatt.sbg.ac.at/onlineseminar.php

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