Meromorphic functions

Ahlfors theory

Ahlfors theory is a mathematical theory invented by Lars Ahlfors as a geometric counterpart of the Nevanlinna theory. Ahlfors was awarded one of the two very first Fields Medals for this theory in 1936. It can be considered as a generalization of the basic properties of covering maps to themaps which are "almost coverings" in some well defined sense. It applies to bordered Riemann surfaces equipped with conformal Riemannian metrics. (Wikipedia).

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Magnetic Vortices, Nielsen-Olesen-Nambu Strings and Theta Functions - Israel M. Sigal

Israel M. Sigal University of Toronto November 30, 2012 The Ginzburg-Landau theory was first developed to explain magnetic and other properties of superconductors, but had a profound influence on physics well beyond its original area. It had the first demonstration of the Higgs mechanism

From playlist Mathematics

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C73 Introducing the theorem of Frobenius

The theorem of Frobenius allows us to calculate a solution around a regular singular point.

From playlist Differential Equations

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Physics - E&M: Maxwell's Equations (1 of 30) What are the Maxwell equations? Introduction

Visit http://ilectureonline.com for more math and science lectures! In this video I will introduction to Maxwell's equations.

From playlist PHYSICS - ELECTRICITY AND MAGNETISM 3

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the ljungstroms radial steam turbine

Here is an animation of Ljungstroms steam turbine

From playlist Turbines

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Physics - E&M: Maxwell's Equations (18 of 30) Differential Form of Gauss' Law: 10

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the differential form of Gauss' Law for magnetic field.

From playlist PHYSICS 46 MAXWELL'S EQUATIONS

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Abel formula

This is one of my all-time favorite differential equation videos!!! :D Here I'm actually using the Wronskian to actually find a nontrivial solution to a second-order differential equation. This is amazing because it brings the concept of the Wronskian back to life! And as they say, you won

From playlist Differential equations

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Math People Are Elitist

Are math people elitist? Do you think this is true? I discuss this and I also talk about four famous math books which are considered extremely rigorous. The books are Real and Complex Analysis by Rudin which is also known as "Papa Rudin", Principles of Mathematical Analysis by Rudin which

From playlist Book Reviews

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Complex Analysis by Ahlfors #shorts

Complex Analysis by Ahlfors #shorts This is the book on amazon: https://amzn.to/3egHOxJ (note this is my affiliate link) Book Review #shorts: https://www.youtube.com/playlist?list=PLO1y6V1SXjjPqMhU21NyGnwVnlF0UIheP Full Book Reviews: https://www.youtube.com/playlist?list=PLO1y6V1SXjjM-1

From playlist Book Reviews #shorts

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Galois theory: Introduction

This lecture is part of an online course on Galois theory. This is an introductory lecture, giving an informal overview of Galois theory. We discuss some historical examples of problems that it was used to solve, such as the Abel-Ruffini theorem that degree 5 polynomials cannot in genera

From playlist Galois theory

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Ahlfors-Bers 2014 "The Circle and the Cardioid"

Nick Makarov (Caltech): The talk will be about conformal dynamics of Schwarz reflections. Typical simple example: consider a cardioid sitting inside a closed disc; the dynamical system is generated by the reflection in the cardioid and the reflection in the circle, the boundary of the disc

From playlist The Ahlfors-Bers Colloquium 2014 at Yale

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Ahlfors Bers 2014 "The complex geometry of Teichmüller space and symmetric domains"

Stergios Antonakoudis (Cambridge University): From a complex analytic perspective, Teichmüller spaces can be realized as contractible bounded domains in complex vector spaces by the Bers embeddings. Bounded Symmetric domains constitute another class of bounded domains that has been extensi

From playlist The Ahlfors-Bers Colloquium 2014 at Yale

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Ulrich Berger: On the Computational content of Brouwer's Theorem

The lecture was held within the framework of the Hausdorff Trimester Program: Constructive Mathematics. Abstract: The usual formulation of Brouwer's Theorem ('every bar is inductive')involves quantification over infinite sequences of natural numbers. We propose an alternative formulation

From playlist Workshop: "Constructive Mathematics"

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Jean-Pierre Demailly - Kobayashi pseudo-metrics, entire curves and hyperbolicity of ... (Part 3)

We will first introduce the basic concepts pertaining to Kobayashi pseudo-distances and hyperbolic complex spaces, including Brody’s theorem and the Ahlfors-Schwarz lemma. One of the main goals of the theory is to understand conditions under which a given algebraic variety is Kobayashi hyp

From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications

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Jean-Pierre Demailly - Kobayashi pseudo-metrics, entire curves and hyperbolicity of ... (Part 4)

We will first introduce the basic concepts pertaining to Kobayashi pseudo-distances and hyperbolic complex spaces, including Brody’s theorem and the Ahlfors-Schwarz lemma. One of the main goals of the theory is to understand conditions under which a given algebraic variety is Kobayashi hyp

From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications

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Jean-Pierre Demailly - Kobayashi pseudo-metrics, entire curves and hyperbolicity of ... (Part 1)

We will first introduce the basic concepts pertaining to Kobayashi pseudo-distances and hyperbolic complex spaces, including Brody’s theorem and the Ahlfors-Schwarz lemma. One of the main goals of the theory is to understand conditions under which a given algebraic variety is Kobayashi hyp

From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications

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Ahlfors-Bers 2014 "Teichmüller theory in Outer space"

Mladen Bestvina (University of Utah): I will survey recent progress on the geometry of Outer space, and compare similarities and differences with Teichmüller space.

From playlist The Ahlfors-Bers Colloquium 2014 at Yale

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Ahlfors-Bers 2014 "Quasi-isometric rigidity of the class of convex-cocompact Kleinian groups"

Peter Haïssinsky (Toulouse): The talk will be devoted to discussing background and ingredients for the proof of the following theorem: a finitely generated group quasi-isometric to a convex-cocompact Kleinian group contains a finite index subgroup isomorphic to a convex-cocompact Kleinian

From playlist The Ahlfors-Bers Colloquium 2014 at Yale

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Lipschitz Lecture II: Expansion in collision histories and Lanford’s theorem

Speaker: Herbert Spohn (TU München) Abstract: Kinetic equations are of wide usage. A standing challenge is their derivation from an underlying mechanical model. The focus of my lectures will be on hard spheres at low density, as prime example of a particle model, and on the weakly nonlin

From playlist HIM Lectures: Lipschitz Lecture

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Want to Be a Complex Analysis Master? Read This.

In this video I go over a very famous book on complex analysis. This is not a beginner book on complex analysis. This is the kind of book you read very slowly:) I hope you enjoy this video. The book is called Complex Analysis and it was written by the very famous mathematician Lars Ahlfor

From playlist Book Reviews

Related pages

André Bloch (mathematician) | Riemann surface | Nevanlinna theory | Elliptic function | Riemann–Hurwitz formula | Lars Ahlfors | Euler characteristic