- Видео 15
- Просмотров 4 490
Saman Habibi Esfahani
США
Добавлен 17 янв 2017
I’m a mathematician at Duke University, and I share some of our Geometry-Topology lectures here.
Introduction to differential geometry, session 2: Tangent spaces and derivatives.
Introduction to differential geometry, session 2: Tangent spaces and derivatives.
Instructor: Saman Habibi Esfahani
Today we discuss tangent spaces of smooth manifolds at given points and the derivatives of smooth maps between them. These concepts are essential for doing calculus on manifolds as we progress in the course.
Instructor: Saman Habibi Esfahani
Today we discuss tangent spaces of smooth manifolds at given points and the derivatives of smooth maps between them. These concepts are essential for doing calculus on manifolds as we progress in the course.
Просмотров: 0
Видео
Introduction to differential geometry, session 1: Smooth manifolds
Просмотров 8154 часа назад
Introduction to differential geometry, session 1: Smooth manifolds Instructor: Saman Habibi Esfahani Today we discuss the notion of smooth manifolds and review some examples.
Joshua Greene: Symplectic geometry and inscription problems
Просмотров 109Месяц назад
Speaker: Joshua Greene Title: Symplectic geometry and inscription problems Abstract: The Square Peg Problem was posed by Otto Toeplitz in 1911. It asks whether every Jordan curve in the plane contains the vertices of a square, and it is still open to this day. I will survey the approaches to this problem and its relatives using symplectic geometry. This talk is based on joint work with Andrew L...
Saman Habibi Esfahani: Non-Linear Dirac Operators
Просмотров 4872 месяца назад
Abstract: This talk is based on joint work with Yang Li. I will discuss non-linear Dirac operators and related regularity questions, which arise in various problems in gauge theory, categorification of Rozansky-Witten invariant, and counting special Lagrangians. Taubes proposed that counting harmonic spinors with respect to these operators on 3-manifolds could lead to new 3-manifold invariants,...
Luya Wang: Deformation inequivalent symplectic structures and Donaldson's 4-6 question
Просмотров 2273 месяца назад
Speaker: Luya Wang Titile: Deformation inequivalent symplectic structures and Donaldson's 4-6 question Abstract: Studying symplectic structures up to deformation equivalences is a fundamental question in symplectic geometry. Donaldson asked: given two homeomorphic closed symplectic four-manifolds, are they diffeomorphic if and only if their stabilized symplectic six-manifolds, obtained by takin...
Robert Bryant: A Weierstrass representation for affine Bonnet surfaces
Просмотров 1103 месяца назад
Speaker: Robert Bryant (Duke University) Title: A Weierstrass representation for affine Bonnet surfaces Abstract: Ossian Bonnet (1819-1892) classified the surfaces in Euclidean 3-space that can be isometrically deformed without changing the mean curvature function H, showing that there are two types: the surfaces of constant mean curvature and a 4-dimensional ‘exceptional family’ (with variable...
Yao Xiao: Equivariant Lagrangian Floer theory on compact toric manifolds
Просмотров 1,2 тыс.3 месяца назад
Speaker: Yao Xiao Title: Yao Xiao: Equivariant Lagrangian Floer theory on compact toric manifolds Abstract: We define an equivariant Lagrangian Floer theory on compact symplectic toric manifolds for the subtorus actions. We prove that the set of Lagrangian torus fibers (with weak bounding cochain data) with non-vanishing equivariant Lagrangian Floer cohomology forms a rigid analytic space. We c...
Yang Li: On the Donaldson-Scaduto conjecture
Просмотров 3493 месяца назад
Yang Li (MIT) Title: On the Donaldson-Scaduto conjecture Abstract: This is joint work in progress with Saman Habibi Esfahani. Motivated by G2-manifolds with coassociative fibrations in the adiabatic limit, Donaldson and Scaduto conjectured the existence of associative submanifolds homeomorphic to a three-holed 3-sphere with three asymptotically cylindrical ends in X \times R^3, where X is an A2...
Mark Stern: Introduction to p-harmonic forms Lp Hodge theory and and Lp cohomology
Просмотров 2013 месяца назад
Mark Stern (Duke University) Title: Introduction to p-harmonic forms Lp Hodge theory and and Lp cohomology Abstract: In this talk I will lay the foundations of the geometry of p-harmonic forms and Lp-Hodge theory. As an application, I will give strong evidence for (half of) a conjecture of Gromov on the Lp cohomology of negatively curved symmetric spaces. April 15, 2024 at Duke University
Sergey Cherkis: Gravitational Instantons, the Tesseron Landscape
Просмотров 713 месяца назад
Sergey Cherkis (University of Arizona) Title: Gravitational Instantons: the Tesseron Landscape Abstract: Since their introduction in Euclidean quantum gravity in mid-70’s, hyperkahler Gravitational Instantons found their use in string theory and in supersymmetric quantum field theory. Their classification was recently completed and now their parameter space is being explored. We propose a syste...
Singular monopoles on closed 3-manifolds and monopole Fueter Floer homology (MSRI conference)
Просмотров 255Год назад
Part 1: Singular Monopoles on Closed 3-Manifolds We prove the existence of non-trivial irreducible SU(2)-monopoles with Dirac singularities on any rational homology 3-sphere, equipped with any Riemannian metric, using a gluing construction. Part 2: Monopole Fueter Floer homology Motivated by a conjecture of Donaldson and Segal, we take a first step towards defining a new 3-manifold Floer theory...
Monopole Fueter Floer Homology
Просмотров 91Год назад
Monopole Fueter Floer Homology (Saman Habibi Esfahani) AMS Special Session on Gauge Theory, Geometric Analysis, and Low-Dimensional Topology Motivated by a conjecture of Donaldson and Segal, I propose a new 3-manifold Floer homology defined by a count of Fueter sections of a hyperkähler bundle over the 3-manifold, where the fibers of the bundle are modeled on the moduli space of centered monopo...
Towards a Monopole Fueter Floer Homology
Просмотров 167Год назад
Conference: SCSHGAP23, Physics and Special Holonomy at UC Santa Barbara Speaker: Saman Habibi Esfahani Title: Towards a Monopole Fueter Floer Homology Chair: Jason Lotay (March 16, 2023) ABSTRACT: Monopoles appear as the dimensional reduction of instantons to 3-manifolds. An interesting feature of the monopole equation is that it can be generalized to certain higher-dimensional spaces. The most...
Gauge theory, from low dimensions to higher dimensions and back
Просмотров 233Год назад
We start by recalling gauge theory and its applications in low-dimensional topology. We briefly discuss Donaldson-Thomas program to extend the methods of gauge theory to study higher-dimensional manifolds, specially Calabi-Yau 3-folds and G2-manifolds. Finally, we will see that the study of gauge theories in higher dimensions motivates new ideas and questions in low-dimensional topology.
Thank you
Does one need to be good at hyperbolic geometry to be able to understand these as well?
No, it's not required.
Dr saman habib , thank you for this
Thanks for putting these up though it's. many levels above me.
Lost
Huh
Why youtube, why would you show me this ? I'm 88 IQ
On an average day I consider myself to be fairly intelligent. Then I see people like this and I realise how much of a retard I am in comparison.
Davis Maria Johnson Sarah Johnson Scott
As an aspiring mathematician in my second year of undergraduate studies, I found this sooooo fascinating! Can't wait for what the future may hold!
Glad you're enjoying it!