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京东 11.11 红包
Stepan Hudecek:Mean Curvature Flow with surgery——2
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https://www.youtube.com/watch?v=yTLQEXRf5L0 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. MCF with surgery part 2 Speaker: Stepan Hudecek (University of Queensland) Date: 22 September 2023 Abstract:Stepan Hudecek (UQ) continues examining the surgery of mean curvature flows in the Huisken-Sinestrari paper. 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
Vishnu Mangalath:Scalar maximum principle for Ricci Flow
Jack Thompson:Ricci solitons
Adam Thompson:Convexity and Huisken's Convergence Theorem
Adam Thompson:The Second Fundamental Form at Singularities of MCF
Tim Buttsworth:Preserved curvature conditions for Ricci Flow——2
Max Hallgren:Tensor maximum principle——2
Kyle Broder:Kähler-Ricci flow and the Wu-Yau theorem——1
Devesh Rajpal:Asymptotic Convexity in MCF——2
Vishnu Mangalath:Evolution of curvature for the Ricci Flow
Devesh Rajpal:Asymptotic Convexity in MCF——1
Max Hallgren:Tensor Maximum Principle——1
Ben Andrews:Ricci flow on surfaces
Xintao Luo:Short Time Existence for the Ricci Flow——2
Kyle Broder:Kähler-Ricci flow and the Wu-Yau theorem——2
Jack Thompson:Killing-Hopf Theorem
James Stanfield:Background on differential geometry——2
Timothy Buttsworth:An Introduction to Ancient Ricci Flows
James Stanfield:Necks in Mean Curvature Flow
Vishnu Mangalath:Gradient Estimates in Mean Curvature Flow——1
Mat Langford:Ancient Solutions of Geometric Flows
James Stanfield:Background on differential geometry——1
Vishnu Mangalath:Gradient Estimates in Mean Curvature Flow——2
Kyeongsu Choi:Ancient solutions of the heat equation of semi-linear equations
Ben Andrews:Ricci flow on the two-sphere——1
Richard Bamler:Mean curvature flow in R^3 and the Multiplicity One Conjecture——1
【Fields Institute】Tobias Holck Colding:Connections between geometry and PDEs
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Tobias Colding:Geometry of PDEs
Kyeongsu Choi:Ancient mean curvature flows and singularity analysis
【CRM】Simon Brendle:Singularity models in 3D Ricci flow
Kyeongsu Choi:Noncollpased ancient mean curvature flow——1
Richard Schoen:特征值极值问题的几何
Camillo De Lellis:Boundary regularity of minimal surfaces
Yong Wei:Curvature measures and volume preserving curvature flow——1
Glen Wheeler:Ancient solutions of the heat equation with polynomial growth——1
Felix Schulze:Mean curvature flow with generic initial data
Richard Schoen:The Einstein Constraint Equations(Positive Mass Theorem)
Anusha Krishnan:Positive sectional curvature and Ricci flow