Pure Maths Colloquium: Geometric flows and their singularities
6 February 2012 16:00 in CM221
In this talk, we study geometric heat flows. First, we introduce the Mean Curvature Flow, an evolution equation for submanifolds of some Euclidean space. The goal is to obtain a good intuition for the formation of singularities along this flow, in particular, we will see many explicit examples and pictures (and only very few theorems).
In the second part of the talk, we discuss the Ricci Flow, which might be seen as the intrinsic analog of the Mean Curvature Flow for abstract Riemannian manifolds. We explain our (partially successful) attempts to adopt the results from the first part of the talk to the intrinsic setting.
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