Differential equations

Fuchsian theory

The Fuchsian theory of linear differential equations, which is named after Lazarus Immanuel Fuchs, provides a characterization of various types of singularities and the relations among them. At any ordinary point of a homogeneous linear differential equation of order there exists a fundamental system of linearly independent power series solutions. A non-ordinary point is called a singularity. At a singularity the maximal number of linearly independent power series solutions may be less than the order of the differential equation. (Wikipedia).

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(PP 6.3) Gaussian coordinates does not imply (multivariate) Gaussian

An example illustrating the fact that a vector of Gaussian random variables is not necessarily (multivariate) Gaussian.

From playlist Probability Theory

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Hegel and his Heirs

Robert Harrison and Adrian Daub discuss Georg Wilhelm Friedrich Hegel and his heirs a few years back in an episode of Entitled Opinions, a KZSU Stanford University program. http://french-italian.stanford.edu/op... Hegel was one of the most important and influential 19th century German phi

From playlist Hegel

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(PP 6.1) Multivariate Gaussian - definition

Introduction to the multivariate Gaussian (or multivariate Normal) distribution.

From playlist Probability Theory

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Hegel & Marx - Bryan Magee & Peter Singer (1987)

Peter Singer discusses the thought of Hegel and Marx with Bryan Magee in this 1987 television series. Hegel was an important and influential 19th century German philosopher, best known for his dialectic, absolute idealism, and historicism, among various other things. The Hegelian dialectic

From playlist Hegel

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(PP 6.2) Multivariate Gaussian - examples and independence

Degenerate multivariate Gaussians. Some sketches of examples and non-examples of Gaussians. The components of a Gaussian are independent if and only if they are uncorrelated.

From playlist Probability Theory

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James Freitag

Strong minimality for Painleve equations and Fuchsian equations Strong minimality is a central notion in model theory which has an interpretation in differential algebra as a functional transcendence statement. We will talk about some new proofs of strong minimality for differential equat

From playlist DART X

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Parahoric Torsors and Degeneration of Moduli Spaces by Vikraman Balaji

Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi

From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)

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Einstein's Theory Of Relativity Made Easy

http://facebook.com/ScienceReason ... Albert Einstein's Theory of Relativity (Chapter 1): Introduction. The theory of relativity, or simply relativity, encompasses two theories of Albert Einstein: special relativity and general relativity. However, the word "relativity" is sometimes used

From playlist Science

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Towards Strong Minimality and the Fuchsian Triangle Groups - J. Nagloo - Workshop 3 - CEB T1 2018

Joel Nagloo (City University of New York) / 29.03.2018 Towards Strong Minimality and the Fuchsian Triangle Groups From the work of Freitag and Scanlon, we have that the ODEs satisfied by the Hauptmoduls of arithmetic subgroups of SL2(Z) are strongly minimal and geometrically trivial. A c

From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

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Boundaries of quasi-Fuchsian spaces and continuous/discontinuous (Lecture -1) by Ken'ichi Ohshika

Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b

From playlist Geometry, Groups and Dynamics (GGD) - 2017

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Ax-Lindemann-Weierstrass Theorem (ALW) for Fuchsian automorphic functions - Joel Nagloo

Joint IAS/Princeton University Number Theory Seminar Topic: Ax-Lindemann-Weierstrass Theorem (ALW) for Fuchsian automorphic functions Speaker: Joel Nagloo Affiliation: City University of New York Date: January 21, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

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Representations of Fuchsian groups, parahoric group schemes by Vikraman Balaji

DISCUSSION MEETING : MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE : 10 February 2020 to 14 February 2020 VENUE : Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classif

From playlist Moduli Of Bundles And Related Structures 2020

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Alan Reid: Distinguishing certain triangle groups by their finite quotients

The lecture was held within the framework of the Hausdorff Trimester Program: Logic and Algorithms in Group Theory. Abstract: We prove that certain arithmetic Fuchsian triangle groups are profinitely rigid in the sense that they are determined by their set of finite quotients amongst all

From playlist HIM Lectures: Trimester Program "Logic and Algorithms in Group Theory"

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G. McShane - Volumes of hyperbolics manifolds and translation distances

Schlenker and Krasnov have established a remarkable Schlaffli-type formula for the (renormalized) volume of a quasi-Fuchsian manifold. Using this, some classical results in complex analysis and Gromov-Hausdorff convergence for sequences of open 3-manifolds due to Brock-Bromberg one obtain

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

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Hegel's Absolute Idealism

A few introductory clips about Hegel's thought. #Philosophy #Hegel

From playlist Hegel

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Boundaries of quasi-Fuchsian spaces and continuous/discontinuous (Lecture - 2) by Ken'ichi Ohshika

Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b

From playlist Geometry, Groups and Dynamics (GGD) - 2017

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Nicholas Wolterstorff on Liberal Democracy and Absolutism

Nicholas Wolterstorff, Emeritus Professor of Philosophical Theology at Yale Divinity School, discusses the nature of liberal democracy, a structure which favors no ideology above another.

From playlist Faith and Globalization

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Richard Feynman: Quantum Mechanical View of Reality 1

In this series of 4 lectures, Richard Feynman introduces the basic ideas of quantum mechanics. The main topics include: the basics, the Heisenberg’s uncertainty principle, Bell’s theorem and the Einstein-Podolsky-Rosen paradox.

From playlist Feynman's Lectures

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Relativity's key concept: Lorentz gamma

Einstein’s theory of special relativity is one of the most counterintuitive ideas in physics, for instance, moving clocks record time differently than stationary ones. Central to all of the equations of relativity is the Lorentz factor, also known as gamma. In this video, Fermilab’s Dr. D

From playlist Relativity

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Finding cocompact Fuchsian groups of given trace field and quaternian algebra - Jeremy Kahn

Jeremy Kahn, IAS October 7, 2015 http://www.math.ias.edu/wgso3m/agenda 2015-2016 Monday, October 5, 2015 - 08:00 to Friday, October 9, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 academic year

From playlist Workshop on Geometric Structures on 3-Manifolds

Related pages

Linear differential equation | Regular singular point | Fuchs relation | Frobenius method