Hyperbolic manifold

Julien Duval - Kobayashi pseudo-metrics, entire curves and hyperbolicity of algebraic varieties 2/2

An almost complex manifold is hyperbolic if it does not contain any entire curve. We start characterizing hyperbolic compact almost complex manifolds. These are the ones whose holomorphic discs satisfy a linear isoperimetric inequality. Then we prove the almost complex version of the Greee

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

Julien Duval - Kobayashi pseudo-metrics, entire curves and hyperbolicity of algebraic varieties 1/2

An almost complex manifold is hyperbolic if it does not contain any entire curve. We start characterizing hyperbolic compact almost complex manifolds. These are the ones whose holomorphic discs satisfy a linear isoperimetric inequality. Then we prove the almost complex version of the Greee

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

Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning

Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an

From playlist Maths Topics

The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b

Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine

From playlist Universal Hyperbolic Geometry

Jessica Purcell: Structure of hyperbolic manifolds - Lecture 3

Abstract: In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions

From playlist Topology

Jessica Purcell: Structure of hyperbolic manifolds - Lecture 2

Abstract: In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions

From playlist Topology

Jessica Purcell: Structure of hyperbolic manifolds - Lecture 1

Abstract: In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions

From playlist Topology

The circle and projective homogeneous coordinates | Universal Hyperbolic Geometry 7a | NJ Wildberger

Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine

From playlist Universal Hyperbolic Geometry

Hyperbolic Geometry is Projective Relativistic Geometry (full lecture)

This is the full lecture of a seminar on a new way of thinking about Hyperbolic Geometry, basically viewing it as relativistic geometry projectivized, that I gave a few years ago at UNSW. We discuss three dimensional relativistic space and its quadratic/bilinear form, particularly the uppe

From playlist MathSeminars

Jessica Purcell - Lecture 3 - Knots in infinite volume 3-manifolds

Jessica Purcell, Monash University Title: Knots in infinite volume 3-manifolds Classically, knots have been studied in the 3-sphere. However, many examples of knots arising in applications lie in broader classes of 3-manifolds. These include virtual knots, which lie within thickened surfa

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

Ian Agol, Lecture 3: Applications of Kleinian Groups to 3-Manifold Topology

24th Workshop in Geometric Topology, Calvin College, June 30, 2007

From playlist Ian Agol: 24th Workshop in Geometric Topology

Robust dynamics, invariant structures and topological classification – Rafael Potrie – ICM2018

Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.11 Robust dynamics, invariant structures and topological classification Rafael Potrie Abstract: Robust dynamical properties imply invariant geometric structures. We will survey the recent advances on topological clas

From playlist Dynamical Systems and ODE

Anna Sakovich: On the mass of asymptotically hyperbolic manifolds and initial data set

HYBRID EVENT A complete Riemannian manifold is called asymptotically hyperbolic if its ends are modeled on neighborhoods of infinity in hyperbolic space. There is a notion of mass for this class of manifolds defined as a coordinate invariant computed in a fixed asymptotically hyperbolic en

From playlist Analysis and its Applications

Fun with finite covers of 3-manifolds - Nathan Dunfield

https://www.math.ias.edu/seminars/abstract?event=47565

From playlist Members Seminar

Spectra in locally symmetric spaces by Alan Reid

PROGRAM ZARISKI-DENSE SUBGROUPS AND NUMBER-THEORETIC TECHNIQUES IN LIE GROUPS AND GEOMETRY (ONLINE) ORGANIZERS: Gopal Prasad, Andrei Rapinchuk, B. Sury and Aleksy Tralle DATE: 30 July 2020 VENUE: Online Unfortunately, the program was cancelled due to the COVID-19 situation but it will

From playlist Zariski-dense Subgroups and Number-theoretic Techniques in Lie Groups and Geometry (Online)

Boris Apanasov: Non-rigidity for Hyperbolic Lattices and Geometric Analysis

Boris Apanasov, University of Oklahoma Title: Non-rigidity for Hyperbolic Lattices and Geometric Analysis We create a conformal analogue of the M. Gromov-I. Piatetski-Shapiro interbreeding construction to obtain non-faithful representations of uniform hyperbolic 3-lattices with arbitrarily

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

Lizhi Chen: Triangulation Complexity of Hyperbolic Manifolds and Asymptotic Geometry

Lizhi Chen, Lanzhou University Title: Triangulation Complexity of Hyperbolic Manifolds and Asymptotic Geometry The triangulation complexity is related to volume of hyperbolic manifolds via simplicial volume. On the other hand, Gromov showed that simplicial volume is related to topological

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

What is the definition of a hyperbola

Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two foci. Some of the characteristics of a hyperbola includ

From playlist The Hyperbola in Conic Sections

Minerva Lectures 2012 - Ian Agol Talk 2: The virtual Haken conjecture & geometric group theory

Talk two of the second Minerva lecture series, by Prof. Ian Agol on October 23rd, 2012 at the Mathematics Department, Princeton University. More information available at: http://www.math.princeton.edu/events/seminars/minerva-lectures/minerva-lecture-ii-virtual-haken-conjecture-what-geomet

From playlist Minerva Lectures - Ian Agol