Pre-Lecture: Review of Curvature, Commutator Identities for Covariant Derivatives Date: June 20, 2022 No views • 11 months ago

Ricci Flow: Definition of Ricci Flow, Some Basic Examples, Self-Similar Solutions, Evolution of Curvature, Curvature Algebra in Three Dimensions Date: June 20, 2022 No views • 11 months ago

Pre-Lecture: Heat Equation on R^n and on Manifolds Date: June 20, 2022 No views • 11 months ago

Ancient Solutions to Parabolic Equations: Ancient Solutions to the Heat Equation and to the Semi-Linear Heat Equation Date: June 21, 2022 No views • 11 months ago

Pre-Lecture: Maximum Principle for Scalar Heat Equations, Interior Estimates Date: June 21, 2022 No views • 11 months ago

Ricci Flow: Hamilton’s Maximum Principle for Systems, Preservation of Nonnegative Ricci in Three Dimensions, Pinching and Convergence in Three Dimensions, Curvature Conditions in Higher Dimensions Date: June 22, 2022 No views • 11 months ago

Pre-Lecture: Log-Sobolev Entropy and Nash Entropy Date: June 22, 2022 No views • 11 months ago

Ricci Flow: Perelman’s Entropy, and Noncollapsing Date: June 23, 2022 No views • 11 months ago

Pre-Lecture: Extrinsic Curvature of Hypersurfaces, and Evolution Equations for Extrinsic Geometric Flows Date: June 23, 2022 No views • 11 months ago

Inverse Mean Curvature Flow: Properties of Smooth Solutions to IMCF Date: June 24, 2022 No views • 11 months ago

Pre-Lecture: Level Set Approach to Extrinsic Geometric Flows (and the Relation to the Parametrized Version of the Flow); Weak Mean Curvature Date: June 26, 2022 No views • 11 months ago

Inverse Mean Curvature Flow: Weak Solutions for Inverse Mean Curvature Flow Date: June 27, 2022 No views • 11 months ago

Ancient Solutions to Geometric Flows: Ancient Solutions to the 2-Dim Ricci Flow Date: June 28, 2022 No views • 11 months ago

The 2-Dimensional Ricci Flow Date: June 27, 2022 No views • 11 months ago

Ancient Solutions to Geometric Flows: Ancient Solutions to the Curve Shortening Flow Date: June 30, 2022 No views • 10 months ago

Pre-Lecture: Asymptotically Flat 3-Manifolds, their Role in General Relativity, the ADM-Mass and the Dominant Energy Condition Date: June 28, 2022 No views • 10 months ago

Inverse Mean Curvature Flow: Applications to General Relativity Date: June 29, 2022 No views • 10 months ago