AIMR Math Group Seminar #5

 

Date : July 28th (Fri.) 10:00-11:00
Place:3C, AIMR Main Bldg., Katahira campus, Tohoku University


SpeakerDr. Keita KUNIKAWA

Title: Translating solitons of mean curvature flow.

 

Abstract

Mean curvature flow is a natural geometric flow on a submanifold
because it is a negative gradient flow of the volume (nonlinear
parabolic PDE). Assuming a translation invariance to the flow,
we get some special solutions which are called translating
solitons (or traveling wave solutions). Complete classification
of such kind of solutions seem to be impossible.
In this talk, I will explain fundamental facts (geometry and
topology) about translating solitons, and propose some open
problems which I am interested in.

 

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 Advanced Institute for Materials Research Tohoku University Mathematical Group
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