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Homotopies of Sobolev maps between manifolds

Elefterios Soultanis
Institution: 
SISSA
Location: 
A-133
Schedule: 
Friday, July 13, 2018 - 14:00
Abstract: 

A homotopy between two continuous  maps (between given manifolds) is a continuous deformation of one into the other. However, to minimize a Dirichlet energy in a given homotopy class one has to consider Sobolev maps, which no longer need to be continuous. The notion of homotopy between such maps therefore needs to be revisited. I will present a couple of definitions for homotopy between sobolev maps and talk about how they are connected to each other. 

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