Structures on manifolds | Riemannian geometry | Symplectic geometry
In differential geometry, a Sasakian manifold (named after Shigeo Sasaki) is a contact manifold equipped with a special kind of Riemannian metric , called a Sasakian metric. (Wikipedia).
Homology Smale-Barden manifolds with K-contact and Sasakian structures by Aleksy Tralle
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
Manifolds 1.3 : More Examples (Animation Included)
In this video, I introduce the manifolds of product manifolds, tori/the torus, real vectorspaces, matrices, and linear map spaces. This video uses a math animation for visualization. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : http://docdro.id/5koj5
From playlist Manifolds
The Hilbert--Einstein functional and the Sasaki-Futaki invariant - Eveline Legendre [2016]
Abstract: I will show how the Hilbert--Einstein functional detects the Reeb vector fields having a vanishing transversal Futaki invariant and so that it is an obstruction to the existence of constant scalar curvature Sasaki metrics. I will also discuss the relation of this functional with
From playlist Mathematics
F. Baudoin - Uniform sub-Laplacian comparison theorems on Sasakian manifolds
We will discuss sharp estimates for the sub-Laplacian of a family of distances converging to the sub-Riemannian one. We will deduce results for the sub-Riemannian distance. Uniform measure contraction properties will also be discussed. This is joint work with Erlend Grong, Kazumasa Kuwada
From playlist Journées Sous-Riemanniennes 2018
A (slightly deeper) look into the restricted 3-body problem -Agustin Moreno
Joint IAS/Princeton University Symplectic Geometry Seminar Topic: A (slightly deeper) look into the restricted 3-body problem Speaker: Agustin Moreno Affiliation: Member, School of Mathematics Date: November 4, 2021 In this talk, as a continuation of my talk in the Members’ Colloquium b
From playlist Mathematics
Manifolds - Part 6 - Second-Countable Space
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From playlist Manifolds
Sasaki geometry and positive curvature - Song Sun [2012]
Abstract: We classify simply connected compact Sasaki manifolds with positive transverse bisectional curvature. In particular, the moduli space of all such manifolds can be contracted to a point—the standard round sphere. This provides an alternative proof of the Mori-Siu-Yau theorem on Fr
From playlist Mathematics
Today, we take a look at charts, their transition maps, and coordinate functions.
From playlist Manifolds
Today, we begin the manifolds series by introducing the idea of a topological manifold, a special type of topological space which is locally homeomorphic to Euclidean space.
From playlist Manifolds
Manifolds #5: Tangent Space (part 1)
Today, we introduce the notion of tangent vectors and the tangent vector space at a point on a manifold.
From playlist Manifolds
What is a Manifold? Lesson 6: Topological Manifolds
Topological manifolds! Finally! I had two false starts with this lesson, but now it is fine, I think.
From playlist What is a Manifold?
Haim Sompolinsky: "Statistical Mechanics of Deep Manifolds: Mean Field Geometry in High Dimension"
Machine Learning for Physics and the Physics of Learning 2019 Workshop IV: Using Physical Insights for Machine Learning "Statistical Mechanics of Deep Manifolds: Mean Field Geometry in High Dimension" Haim Sompolinsky - The Hebrew University of Jerusalem Abstract: Recent advances in sys
From playlist Machine Learning for Physics and the Physics of Learning 2019
Fitting a manifold to noisy data by Hariharan Narayanan
DISCUSSION MEETING THE THEORETICAL BASIS OF MACHINE LEARNING (ML) ORGANIZERS: Chiranjib Bhattacharya, Sunita Sarawagi, Ravi Sundaram and SVN Vishwanathan DATE : 27 December 2018 to 29 December 2018 VENUE : Ramanujan Lecture Hall, ICTS, Bangalore ML (Machine Learning) has enjoyed tr
From playlist The Theoretical Basis of Machine Learning 2018 (ML)
Rustam Sadykov (1/28/21): On the Lusternik-Schnirelmann theory of 4-manifolds
Title: On the Lusternik-Schnirelmann theory of 4-manifolds Abstract: I will discuss various versions of the Lusternik-Schnirelman category involving covers and fillings of 4-manifolds by various sets. In particular, I will discuss Gay-Kirby trisections, which are certain decompositions o
From playlist Topological Complexity Seminar
Jintian Zhu - Incompressible hypersurface, positive scalar curvature and positive mass theorem
In this talk, I will introduce a positive mass theorem for asymptotically flat manifolds with fibers (like ALF and ALG manifolds) under an additional but necessary incompressible condition. I will also make a discussion on its connection with surgery theory as well as quasi-local mass and
From playlist Not Only Scalar Curvature Seminar
Fitting manifolds to data - Charlie Fefferman
Workshop on Topology: Identifying Order in Complex Systems Topic: Fitting manifolds to data Speaker: Charlie Fefferman Affiliation: Princeton University Date: April 7, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Manifolds - Part 2 - Interior, Exterior, Boundary, Closure
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.
From playlist Manifolds
Brent Pym: Holomorphic Poisson structures - lecture 3
The notion of a Poisson manifold originated in mathematical physics, where it is used to describe the equations of motion of classical mechanical systems, but it is nowadays connected with many different parts of mathematics. A key feature of any Poisson manifold is that it carries a cano
From playlist Virtual Conference