Pure Maths Colloquium: Harnack inequalities for geometric flows
25 October 2010 17:15 in CM221
Harnack inequalities are typically elegant and simple statements about positive solutions of elliptic or parabolic PDE. I will go through some examples in detail without requiring any prerequisites. I will then explain how they show up in Ricci flow. Hamilton's Harnack inequality was a crucial ingredient in the Hamilton-Perelman proof of the Poincare conjecture. These days we understand much better the geometry of Hamilton's result, and can use that understanding to prove much more (joint with Esther Cabezas-Rivas).
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