Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
Explore the fundamental principles and cutting-edge developments in extrinsic curvature flows through this intensive international school featuring world-renowned experts from leading universities. Delve into the intersection of Analysis and Geometry, examining how these flows connect to minimal surface theory and diffusive partial differential equations. Master monotonicity formulae and non-collapsing estimates for mean curvature flow, investigate existence and regularity theories of Brakke flow, and analyze singularities in mean convex hypersurfaces. Study phase-field models for motion by mean curvature, examine the dynamics and symmetry of ancient solutions, and understand motion by curvature of networks in the plane. Learn about thresholding schemes as minimizing movement approaches and discover how these mathematical concepts apply to interface dynamics in physical and biological sciences. Gain insights into topological classification results, sharp geometric inequalities, and the fundamental problem of singularity formation. Engage with lectures from distinguished faculty including experts from University of Wisconsin-Madison, Columbia University, Universität Tübingen, Università di Napoli Federico II, MPI for Mathematics in the Sciences, Università di Roma Tor Vergata, University of Chicago, and Tokyo Institute of Technology, positioning yourself to tackle open problems in this rapidly evolving field.
