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京东 11.11 红包
Vishnu Mangalath:Gradient Estimates in Mean Curvature Flow——2
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https://www.youtube.com/watch?v=WgCBIloKiys Australian Geometric PDE Seminar Season 04 - Mean Curvature Flow with Surgery Homepage:https://oz-geom-pde.github.io/season04/ Reading group on the Mean Curvature Flow with surgery. Special thanks to Ben Andrews for advice on the program. Gradient Estimates in MCF II Speaker: Vishnu Mangalath (ANU) Date: 11 August 2023 Abstract:Vishnu Mangalath completes the proof of a key gradient estimate in Mean Curvature Flow, and discusses some consequences. Felix Schulze——“Introduction to Mean Curvature Flow”——LSGNT course, fall 2017:https://www.felixschulze.eu/images/mcf_notes.pdf These are lecture notes from a 20 hour introductory course to mean curvature flow given in the framework of the London School of Geometry and Number Theory, an EPRSC Centre for Doctoral Training between Imperial College London, King’s College London and University College London. Robert Haslhofer——“Lectures on mean curvature flow of surfaces”:https://doi.org/10.48550/arXiv.2105.10485 Mean curvature flow is the most natural evolution equation in extrinsic geometry, and shares many features with Hamilton's Ricci flow from intrinsic geometry. In this lecture series, I will provide an introduction to the mean curvature flow of surfaces, with a focus on the analysis of singularities. We will see that the surfaces evolve uniquely through neck singularities and nonuniquely through conical singularities. Studying these questions, we will also learn many general concepts and methods, such as monotonicity formulas, epsilon-regularity, weak solutions, and blowup analysis that are of great importance in the analysis of a wide range of partial differential equations. These lecture notes are from summer schools at UT Austin and CRM Montreal, and also contain a detailed discussion of open problems and conjectures. Robert Haslhofer——“Lectures on mean curvature flow”:https://doi.org/10.48550/arXiv.1406.7765
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Vishnu Mangalath:The Haslhofer-Kleiner Gradient Estimate
Jack Thompson:Ricci solitons
Vishnu Mangalath:Scalar maximum principle for Ricci Flow
Adam Thompson:The Second Fundamental Form at Singularities of MCF
Devesh Rajpal:Asymptotic Convexity in MCF——2
Adam Thompson:Convexity and Huisken's Convergence Theorem
Vishnu Mangalath:Evolution of curvature for the Ricci Flow
Jack Thompson:Killing-Hopf Theorem
Devesh Rajpal:Asymptotic Convexity in MCF——1
【IHES】Tom Bridgeland:Geometry from Donaldson-Thomas Invariants
Vishnu Mangalath:Estimates for Mean Curvature Flow in R^3
Tim Buttsworth:Preserved curvature conditions for Ricci Flow——2
Ben Andrews:Ricci flow on surfaces
【CRM】Simon Brendle:Singularity models in 3D Ricci flow
【Fields Institute】Tobias Holck Colding:Connections between geometry and PDEs
Xintao Luo:Short Time Existence for the Ricci Flow——2
Camillo De Lellis:C^0 convex Integration for Incompressible Euler——4
Richard Schoen:特征值极值问题的几何
Max Hallgren:Tensor maximum principle——2
Max Hallgren:Tensor Maximum Principle——1
Timothy Buttsworth:An Introduction to Ancient Ricci Flows
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Kyle Broder:Kähler-Ricci flow and the Wu-Yau theorem——2
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