Geometric Analysis and Topology Seminar

Fall 2016

PLEASE NOTE CHANGE OF REGULAR TIME AND LOCATION:The seminar's usual time is Wednesday at 11:00am in 1314 Warren Weaver Hall (Directions). Special times and dates are marked in red. Click on the title of a talk for the abstract (if available).

Sept 21,  11am
1314 WWH
Bruce Kleiner
Uniqueness of weak solutions to Ricci flow, and Perelman's convergence conjecture
Oct 5,  11am
1314 WWH
Sylvester Eriksson-Bique
Poincare inequalities via quantitative connectivity, and differentiability in metric measure spaces
Oct 14,  11am
1314 WWH
Yair Minsky
Nov 2,  11am
1314 WWH
Jeff Cheeger
Bounded Ricci curvature and the codimension 4 conjecture

Organizers: Sylvain Cappell, Jeff Cheeger, Bruce Kleiner, and Robert Young.


Uniqueness of weak solutions to Ricci flow, and Perelman's convergence conjecture, Bruce Kleiner.  In his proof of Thurston's geometrization conjecture, Perelman proved the existence of a Ricci flow with surgery starting from any given compact smooth Riemannian 3-manifold. In the same papers, he conjectured that when the surgery parameters are sent to zero, the flow with surgery converges to a limiting "flow through singularities", yielding a canonical generalized Ricci flow. The lecture will briefly cover some background on uniqueness questions for weak solutions to geometric evolution equations (Ricci flow, mean curvature flow and harmonic map heat flow), and then discuss recent joint work of Richard Bamler and myself, giving a proof of Perelman's convergence conjecture.

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