Properties of the Half-Harmonic Gradient Flow

Abstract: In this talk, we discuss properties of the fractional harmonic gradient flow with values in $S^{n-1}$ and its generalisation to arbitrary target manifolds, as investigated by the speaker in . Particular attention is spent on comparing the non-local case with the local one, i.e. the harmonic map flow.

analysis of PDEsdifferential geometryfunctional analysis

Audience: researchers in the discipline

( paper )

---

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

---