Complex manifolds

Stein manifold

In mathematics, in the theory of several complex variables and complex manifolds, a Stein manifold is a complex submanifold of the vector space of n complex dimensions. They were introduced by and named after Karl Stein. A Stein space is similar to a Stein manifold but is allowed to have singularities. Stein spaces are the analogues of affine varieties or affine schemes in algebraic geometry. (Wikipedia).

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Kai Cieliebak - Stein and Weinstein manifolds

Stein manifolds arise naturally in the theory of several complex variables. This talk will give an informal introduction to some of their topological and symplectic aspects such as: handlebody construction of Stein manifolds; their symplectic counterparts; Weinstein manifolds; flexibility

From playlist Not Only Scalar Curvature Seminar

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Manifolds 1.2 : Examples of Manifolds

In this video, I describe basic examples of manifolds. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : http://docdro.id/IZO0G25

From playlist Manifolds

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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

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The h-principle in symplectic geometry - Emmy Murphy

Members' Seminar Topic: The h-principle in symplectic geometry Speaker: Emmy Murphy Affiliation: Northwestern University; von Neumann Fellow, School of Mathematics Date: December 9, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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Stein fillings of cotangent bundles of surfaces - Jeremy van Horn Morris

Princeton/IAS Symplectic Geometry Seminar Topic: Stein fillings of cotangent bundles of surfaces Speaker: Jeremy van Horn Morris Affiliation: University of Arkansas Date: Thursday, April 7 I'll outline recent results with Steven Sivek classifying the Stein fillings, up to topological

From playlist Mathematics

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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?

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What is a manifold? #SHORTS

In this #SHORTS video, we offer a brief idea of what a (smooth) manifold is. Smooth manifolds, topological manifolds, Riemannian manifolds, complex manifolds, are some of the main objects in the vast field of geometry. These spaces are (topological) spaces that are locally Euclidean. 👍 To

From playlist All Videos

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What is a Manifold? Lesson 2: Elementary Definitions

This lesson covers the basic definitions used in topology to describe subsets of topological spaces.

From playlist What is a Manifold?

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Positive loops and orderability in contact geometry - Peter Weigel

Peter Weigel Purdue University October 4, 2013 Orderability of contact manifolds is related in some non-obvious ways to the topology of a contact manifold Σ. We know, for instance, that if Σ admits a 2-subcritical Stein filling, it must be non-orderable. By way of contrast, in this talk I

From playlist Mathematics

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Flexibility in symplectic and contact geometry – Emmy Murphy – ICM2018

Geometry | Topology Invited Lecture 5.6 | 6.2 Flexibility in symplectic and contact geometry Emmy Murphy Abstract: Symplectic and contact structures are geometric structures on manifolds, with relationships to algebraic geometry, geometric topology, and mathematical physics. We discuss a

From playlist Geometry

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2022 10 Dan Coman: Extension of quasiplurisubharmonic functions

CONFERENCE Recording during the thematic meeting : "Complex Geometry, Dynamical Sytems and Foliation Theory" the October 20, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathemat

From playlist Analysis and its Applications

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Mohan Ramachandran

https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu

From playlist Mathematics

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Dror Varolin - Minicourse - Lecture 3

Dror Varolin Variations of Holomorphic Hilbert spaces Traditional complex analysis focuses on a single space, like a domain in Euclidean space, or more generally a complex manifold, and studies holomorphic maps on that space, into some target space. The typical target space for a domain i

From playlist Maryland Analysis and Geometry Atelier

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Kähler–Einstein metrics on Fano manifolds: variational and algebro-geometric – S. Boucksom – ICM2018

Algebraic and Complex Geometry | Analysis and Operator Algebras Invited Lecture 4.1 | 8.1 Kähler–Einstein metrics on Fano manifolds: variational and algebro-geometric aspects Sébastien Boucksom Abstract: I will describe a variational approach to the existence of Kähler–Einstein metrics o

From playlist Algebraic & Complex Geometry

Related pages

Plurisubharmonic function | If and only if | Proper map | Vector space | Cousin problems | Sheaf cohomology | Fibrant object | Ambient space | Complex manifold | Behnke–Stein theorem on Stein manifolds | Hans Grauert | Morse theory | Domain of holomorphy | Affine variety | Riemann surface | Submanifold | Contact geometry | Exponential sheaf sequence | Holomorphic function | Eugenio Elia Levi | Compact space | Analytic continuation | Cartan's theorems A and B | Thurston–Bennequin number | Analytic function | Complex number | Holomorphic vector bundle | Symplectic filling | Function of several complex variables