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Mat Langford:Ancient Solutions of Geometric Flows
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https://www.youtube.com/watch?v=vdxRcWVg9fM Australian Geometric PDE Seminar Season 01-Ancient Solutions of Geometric Flows We study a variety of ancient solutions to geometric flows including the Heat Equation, the Curve Shortening Flow, the Ricci flow, the Mean Curvature Flow and Semi-Linear Paraoblic Equations 30 000 ft overview of ancient solutions Mat Langford (University of Newcastle, University of Tennessee Knoxville) 2 September 2020 Introduction to ancient solutions of heat type equations and flows of hypersurfaces, such as the curve shortening flow and the mean curvature flow Panagiota Daskalopoulos&Nataša Šešum——“Ruth Lyttle Satter Prize in Mathematics”:https://www.ams.org/journals/notices/202304/rnoti-p685.pdf Sigurd Angenent, Panagiota Daskalopoulos, Natasa Sesum——“Uniqueness of two-convex closed ancient solutions to the mean curvature flow”:https://doi.org/10.4007/annals.2020.192.2.2 Sigurd Angenent, Panagiota Daskalopoulos, Natasa Sesum——“Unique asymptotics of ancient convex mean curvature flow solutions”:https://doi.org/10.4310/jdg/1552442605 Simon Brendle——“Ancient solutions to the Ricci flow in dimension 3”:https://doi.org/10.4310/ACTA.2020.v225.n1.a1 Simon Brendle&K. Choi——“Uniqueness of convex ancient solutions to mean curvature flow in R^3”:https://doi.org/10.1007/s00222-019-00859-4 Simon Brendle&S. Angenent, P. Daskalopoulos, and N. Sesum——“Unique asymptotics of compact ancient solutions to three-dimensional Ricci flow”:https://doi.org/10.1002/cpa.21955 Simon Brendle&P. Daskalopoulos and N. Sesum——“Uniqueness of compact ancient solutions to three-dimensional Ricci flow”:https://doi.org/10.1007/s00222-021-01054-0 Felix Schulze——“Introduction to Mean Curvature Flow”——LSGNT course, fall 2017:https://www.felixschulze.eu/images/mcf_notes.pdf Robert Haslhofer——“Lectures on mean curvature flow of surfaces”:https://doi.org/10.48550/arXiv.2105.10485 Robert Haslhofer——“Lectures on mean curvature flow”:https://doi.org/10.48550/arXiv.1406.7765
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Timothy Buttsworth:An Introduction to Ancient Ricci Flows
Vishnu Mangalath:Scalar maximum principle for Ricci Flow
Kyle Broder:Kähler-Ricci flow and the Wu-Yau theorem——1
Max Hallgren:Tensor Maximum Principle——1
Kyeongsu Choi:Ancient solutions of the heat equation of semi-linear equations
Max Hallgren:Tensor maximum principle——2
Jack Thompson:Ricci solitons
James Stanfield:Background on differential geometry——1
Xintao Luo:Short Time Existence for the Ricci Flow——2
Vishnu Mangalath:Evolution of curvature for the Ricci Flow
Jack Thompson:Killing-Hopf Theorem
Vishnu Mangalath:Estimates for Mean Curvature Flow in R^3
Timothy Buttsworth:Preserved curvature conditions for Ricci Flow——1
Tim Buttsworth:Preserved curvature conditions for Ricci Flow——2
Kyle Broder:Kähler-Ricci flow and the Wu-Yau theorem——2
Ben Andrews:Ricci flow on surfaces
Devesh Rajpal:Asymptotic Convexity in MCF——2
James Stanfield:Background on differential geometry——2
James Stanfield:Necks in Mean Curvature Flow
Vishnu Mangalath:The Haslhofer-Kleiner Gradient Estimate
Glen Wheeler:Ancient solutions of the heat equation with polynomial growth——1
Stepan Hudecek:Mean Curvature Flow with surgery——2
Vishnu Mangalath:Gradient Estimates in Mean Curvature Flow——1
Ben Andrews:Ricci flow on the two-sphere——1
Glen Wheeler:Ancient solutions of the heat equation with polynomial growth——2
Vishnu Mangalath:Gradient Estimates in Mean Curvature Flow——2
Ben Andrews:Harmonic functions of polynomial growth——2
Adam Thompson:Convexity and Huisken's Convergence Theorem
Adam Thompson:The Second Fundamental Form at Singularities of MCF
Devesh Rajpal:Asymptotic Convexity in MCF——1
【CRM】Simon Brendle:Singularity models in 3D Ricci flow
Ben Andrews:Harmonic functions with polynomial growth——1
Glen Wheeler:Ancient solutions of the heat equation with polynomial growth——3
Pavel Etingof:local fields上的Hecke算子和Geometric Langlands correspondence的解析方法
Ben Andrews:Harmonic functions with polynomial growth——3
Jacques Distler:N=2 SCFTs and Families of Hitchin Systems
Orli Herscovici:Gaussian B-inequality stability and equality cases
Anusha Krishnan:Positive sectional curvature and Ricci flow
Richard Bamler:Mean curvature flow in R^3 and the Multiplicity One Conjecture——1
Gunhee Cho:Calabi conjecture的Kähler-Ricci flow方法和Kähler–Einstein metric的存在