CRM: Centro De Giorgi
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(Geometric Flows and Geometric Operators) GFO in Pisa

Geometric flows with rough initial data

speaker: Tobias Lamm (Department of Mathematics, University of British Columbia)

abstract: In a recent joint work with Herbert Koch (University of Bonn) we showed the existence of a global unique and analytic solution for the mean curvature flow (in arbitrary codimensions) and the Willmore flow of entire graphs for Lipschitz initial data with small Lipschitz norm. In this talk I will explain our construction and, if time permits, I will show how similar constructions can be used to obtain the existence of a global unique and analytic solution of the Ricci-DeTurck flow on Euclidean space for bounded initial metrics which are close to the Euclidean metric in Linfty, and of the harmonic map flow for initial maps whose image is contained in a small geodesic ball.


timetable:
Tue 30 Jun, 16:30 - 17:15, Aula Dini
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