Speaker: Robert Haslhofer (University of Toronto) Title: Recent progress on mean curvature flow Abstract: A family of surfaces moves by mean curvature flow if the velocity at each point is given by the mean curvature vector. Mean curvature flow is the most natural evolution in extrinsic geometry and shares many features with Hamilton’s Ricci flow from intrinsic geometry. In the […]

Speaker: Robert McCann (University of Toronto) Title: Displacement convexity of Boltzmann's entropy characterizes positive energy in general relativity Abstract: Einstein's theory of gravity is based on assuming that the fluxes of a energy and momentum in a physical system are proportional to a certain variant of the Ricci curvature tensor on a smooth 3+1 dimensional spacetime. The fact that […]