Special Solutions to Mean Curvature Flow on Three-Manifolds with Lie Group Structure

Abstract: In this talk, I will describe the construction of special solutions to the Mean Curvature Flow on three-manifolds endowed with a Lie group structure. In the first part, I will focus on solutions arising from initial hypersurfaces determined by subgroups. In contrast to the Euclidean setting, this framework admits several nontrivial examples of such solutions. In the second part, I will discuss grim reaper–type solutions in the same geometric context and compare them with previously known examples. This is joint work with R. Arroyo and Gabriela Ovando.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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