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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 22-Jun-2022 01:15 AM PDT - 22-Jun-2022 02:30 AM PDT
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Welcome
Date: June 20, 2022
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Pre-Lecture: Review of Curvature, Commutator Identities for Covariant Derivatives
Date: June 20, 2022
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Ricci Flow: Definition of Ricci Flow, Some Basic Examples, Self-Similar Solutions, Evolution of Curvature, Curvature Algebra in Three Dimensions
Date: June 20, 2022
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Pre-Lecture: Heat Equation on R^n and on Manifolds
Date: June 20, 2022
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Ancient Solutions to Parabolic Equations: Ancient Solutions to the Heat Equation and to the Semi-Linear Heat Equation
Date: June 21, 2022
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Pre-Lecture: Maximum Principle for Scalar Heat Equations, Interior Estimates
Date: June 21, 2022
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Pre-Lecture: Log-Sobolev Entropy and Nash Entropy
Date: June 22, 2022
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Ricci Flow: Perelman’s Entropy, and Noncollapsing
Date: June 23, 2022
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Pre-Lecture: Extrinsic Curvature of Hypersurfaces, and Evolution Equations for Extrinsic Geometric Flows
Date: June 23, 2022
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Inverse Mean Curvature Flow: Properties of Smooth Solutions to IMCF
Date: June 24, 2022
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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
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Inverse Mean Curvature Flow: Weak Solutions for Inverse Mean Curvature Flow
Date: June 27, 2022
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Ancient Solutions to Geometric Flows: Ancient Solutions to the 2-Dim Ricci Flow
Date: June 28, 2022
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The 2-Dimensional Ricci Flow
Date: June 27, 2022
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Ancient Solutions to Geometric Flows: Ancient Solutions to the Curve Shortening Flow
Date: June 30, 2022
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Pre-Lecture: Asymptotically Flat 3-Manifolds, their Role in General Relativity, the ADM-Mass and the Dominant Energy Condition
Date: June 28, 2022
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Inverse Mean Curvature Flow: Applications to General Relativity
Date: June 29, 2022
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