Tue, 2017-04-04 09:00 - 10:00
Evolution equations have been used to address successfully key questions in Differential Geometry
like isoperimetric inequalities, the Poincaré conjecture, Thurston’s geometrization conjecture, or
the differentiable sphere theorem.
During this series of lectures we will give a general introduction to geometric flows, which are sort of
non-linear versions of the heat equation for a relevant geometric quantity. These equations should be
understood as a tool to canonically deform a manifold into a manifold with nicer properties, for instance,