V
主页
京东 11.11 红包
Max Hallgren:Tensor Maximum Principle——1
发布人
https://www.youtube.com/watch?v=ibupH396zJE Australian Geometric PDE Seminar Homepage:https://oz-geom-pde.github.io/season02/ Season 02 - 3d Ricci Flow Tensor maximum principle for Ricci Flow Speaker: Max Hallgren (Cornell) Date: 18 February 2022 Abstract:Max Hallgren introduces the tensor maximum principle with applications to the Ricci flow. Ben Andrews , Christopher Hopper——“The Ricci Flow in Riemannian Geometry——A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem”:https://doi.org/10.1007/978-3-642-16286-2 This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem. Peter Topping——“Lectures on the Ricci Flow”:https://doi.org/10.1017/CBO9780511721465 Simon Brendle——“Ricci Flow and the Sphere Theorem”——AMS——Graduate Studies in Mathematics This book provides a concise introduction to the subject as well as a comprehensive account of the convergence theory for the Ricci flow. The proofs rely mostly on maximum principle arguments. Special emphasis is placed on preserved curvature conditions, such as positive isotropic curvature. One of the major consequences of this theory is the Differentiable Sphere Theorem: a compact Riemannian manifold, whose sectional curvatures all lie in the interval (1,4], is diffeomorphic to a spherical space form. This question has a long history, dating back to a seminal paper by H. E. Rauch in 1951, and it was resolved in 2007 by the author and Richard Schoen. John W. Morgan, Gang Tian——“Ricci Flow and the Poincare Conjecture”——AMS&Clay Mathematics Monographs
打开封面
下载高清视频
观看高清视频
视频下载器
Vishnu Mangalath:Scalar maximum principle for Ricci Flow
Jack Thompson:Ricci solitons
Kyle Broder:Kähler-Ricci flow and the Wu-Yau theorem——1
Max Hallgren:Tensor maximum principle——2
Ben Andrews:Harmonic functions of polynomial growth——2
Timothy Buttsworth:An Introduction to Ancient Ricci Flows
James Stanfield:Background on differential geometry——1
Vishnu Mangalath:Evolution of curvature for the Ricci Flow
MIT《广义相对论|MIT 8.962 General Relativity, Spring 2020》中英字幕(豆包翻译
Ben Andrews:Ricci flow on the two-sphere——1
James Stanfield:Background on differential geometry——2
Xintao Luo:Short Time Existence for the Ricci Flow——2
Tim Buttsworth:Preserved curvature conditions for Ricci Flow——2
Jack Thompson:Killing-Hopf Theorem
Timothy Buttsworth:Preserved curvature conditions for Ricci Flow——1
Kyeongsu Choi:Ancient solutions of the heat equation of semi-linear equations
Ben Andrews:Ricci flow on surfaces
Kyle Broder:Kähler-Ricci flow and the Wu-Yau theorem——2
Vishnu Mangalath:Estimates for Mean Curvature Flow in R^3
【CRM】Simon Brendle:Singularity models in 3D Ricci flow
Vishnu Mangalath:The Haslhofer-Kleiner Gradient Estimate
Otis Chodosh:Minimizers in Gamow s liquid drop model
Adam Thompson:Convexity and Huisken's Convergence Theorem
Camillo De Lellis:C^0 convex Integration for Incompressible Euler——4
Richard Bamler:Mean curvature flow in R^3 and the Multiplicity One Conjecture——1
【The Abel lectures 2024】Assaf Naor:Michel Talagrand almost everywhere
Mat Langford:Ancient Solutions of Geometric Flows
Misha Bialy:Integrable billiards and rigidity——I
Ben Andrews:Harmonic functions with polynomial growth——1
Aaron Naber:Nonlinear Harmonic Maps and the Energy Identity
Devesh Rajpal:Asymptotic Convexity in MCF——1
【Fields Institute】Tobias Holck Colding:Connections between geometry and PDEs
Devesh Rajpal:Asymptotic Convexity in MCF——2
Ben Andrews:Harmonic functions with polynomial growth——3
Richard Schoen:特征值极值问题的几何
Aaron Naber:Structure and Regularity of Nonlinear Harmonic Maps
Boáz Klartag:Isoperimetric inequalities in high dimensional convex sets——1——1
Camillo De Lellis:The Onsager Theorem and Beyond——1
Pavel Etingof:local fields上的Hecke算子和Geometric Langlands correspondence的解析方法
【IHES】Tom Bridgeland:Geometry from Donaldson-Thomas Invariants