Comparison geometry for Ricci curvature I, Guofang Wei [2016]
Slides for this talk: https://drive.google.com/open?id=1d3IhMz2enIsBOuKRPA6JF80FPqbHSR9v Ricci curvature occurs in the Einstein equation, Ricci flow, optimal transport, and is important both in mathematics and physics. Comparison method is one of the key tools in studying the Ricci curvat
From playlist Mathematics
Comparison geometry for Ricci curvature II, Guofang Wei [2016]
Slides for this talk: https://drive.google.com/open?id=1HN8y4H6IxwxEfiVyQNg1r9024Uwg4auO Ricci curvature occurs in the Einstein equation, Ricci flow, optimal transport, and is important both in mathematics and physics. Comparison method is one of the key tools in studying the Ricci curvat
From playlist Mathematics
Areejit Samal (7/25/22): Forman-Ricci curvature: A geometry-inspired measure with wide applications
Abstract: In the last few years, we have been active in the development of geometry-inspired measures for the edge-based characterization of real-world complex networks. In particular, we were first to introduce a discretization of the classical Ricci curvature proposed by R. Forman to the
From playlist Applied Geometry for Data Sciences 2022
Artem Pulemotov -- The prescribed Ricci curvature problem on homogenous spaces
Lecture given by Professor Artem Pulemotov (University of Queensland) on the prescribed Ricci curvature problem on homogeneous spaces. This was recorded at the Banff International Research Station, the conference being Geometric Flows: Recent Developments and Applications (April 2015). Th
From playlist Research Lectures
Sun-Yung Alice Chang: Conformal Invariants and Differential Equations
This lecture was held at The University of Oslo, May 24, 2006 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2006 1. “A Scandinavian Chapter in Analysis” by Lennart Carleson, Kungliga Tekniska Högskolan, Swed
From playlist Abel Lectures
Alice Chang: Conformal Geometry on 4-manifolds
Abstract: In this talk, I will report on the study of integral conformal invariants on 4-manifolds and applications to the study of topology and diffeomorphism type of a class of 4-manifolds. The key ingredient is the study of the integral of 2 of the Schouten tensor which is the part of i
From playlist Abel in... [Lectures]
Emmy Noether Lecture: Conformal geometry on 4-manifolds — Sun-Yung Alice Chang — ICM2018
Conformal geometry on 4-manifolds Sun-Yung Alice Chang Abstract: In this talk, I will report on the study of a class of integral conformal invariants on 4-manifolds and applications to the study of topology and diffeomorphism type of a class of 4-manifolds. The key ingredient is the study
From playlist Special / Prizes Lectures
T. Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 2)
The goal of these lectures is to introduce some fundamental tools in the study of manifolds with a lower bound on Ricci curvature. We will first state and prove the laplacian comparison theorem for manifolds with a lower bound on the Ricci curvature, and derive some important consequences
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
T. Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 1)
The goal of these lectures is to introduce some fundamental tools in the study of manifolds with a lower bound on Ricci curvature. We will first state and prove the laplacian comparison theorem for manifolds with a lower bound on the Ricci curvature, and derive some important consequences
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
What is General Relativity? Lesson 59: Scalar Curvature Part 8: Interpretation of Scalar Curvature.
What is General Relativity? Lesson 59: Scalar Curvature Part 8: Interpretation of Scalar Curvature (note: this is a re-post of a video that was posted at 2x playback speed. Sorry!) We begin our examination of Section 4.4.6 of "A Simple Introduction to Particle Physics Part II - Geometric
From playlist What is General Relativity?
T. Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 4)
The goal of these lectures is to introduce some fundamental tools in the study of manifolds with a lower bound on Ricci curvature. We will first state and prove the laplacian comparison theorem for manifolds with a lower bound on the Ricci curvature, and derive some important consequences
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
Jan Maas : Gradient flows and Ricci cuevature in discrete and quantum probability
Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 28, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Geometry
T. Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 3)
The goal of these lectures is to introduce some fundamental tools in the study of manifolds with a lower bound on Ricci curvature. We will first state and prove the laplacian comparison theorem for manifolds with a lower bound on the Ricci curvature, and derive some important consequences
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
Degenerations and moduli spaces in Kähler geometry – Song Sun – ICM2018
Geometry Invited Lecture 5.10 Degenerations and moduli spaces in Kähler geometry Song Sun Abstract: We report some recent progress on studying degenerations and moduli spaces of canonical metrics in Kähler geometry, and the connection with algebraic geometry, with a particular emphasis o
From playlist Geometry
Paula Burkhardt-Guim - Lower scalar curvature bounds for $C^0$ metrics: a Ricci flow approach
We describe some recent work that has been done to generalize the notion of lower scalar curvature bounds to C^0 metrics, including a localized Ricci flow approach. In particular, we show the following: that there is a Ricci flow definition which is stable under greater-than-second-order p
From playlist Not Only Scalar Curvature Seminar
Spacetime positive mass theorem - Lan-Hsuan Huang
Workshop on Geometric Functionals: Analysis and Applications Topic: Spacetime positive mass theorem Speaker: Lan-Hsuan Huang Affiliation: University of Connecticut; von Neumann Fellow, School of Mathematics Date: March 5, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Monge-Ampere equations on complex manifolds - Ben Weinkove [2015]
Name: Ben Weinkove Event: Workshop 2012-2013ay - Graduate Workshop on Kahler Geometry Event URL: view webpage Title: Monge-Ampere equations on complex manifolds- 1 hr Date: 2013-06-24 @4:00 PM Location: 102 http://scgp.stonybrook.edu/video_portal/video.php?id=748
From playlist Mathematics
A. Mondino - Metric measure spaces satisfying Ricci curvature lower bounds 3
The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds goes back to Gromov in the '80ies and was pushed by Cheeger-Colding in the ‘90ies, who investigated the structure of spaces arising as Gromov-Hausdorff limits of smooth Riemannian manifolds
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
L^2 methods, projective embeddings and Kahler-Einstein metrics (Lecture 2)by Ved Datar
PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo
From playlist Cauchy-Riemann Equations in Higher Dimensions 2019