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
Volume and Homology for Hyperbolic 3-Orbifolds...Arithmetic Groups - Peter Shalen
Peter Shalen December 1, 2015 https://www.math.ias.edu/seminars/abstract?event=83284 A theorem of Borel's asserts that for any positive real number V, there are at most finitely many arithmetic lattices in PSL2(ℂ) of covolume at most V, or equivalently at most finitely many arithmetic hy
From playlist Mathematics
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
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
NonLERFness of groups of certain mixed 3-manifolds and arithmetic hyperbolic n-manifolds - Sun
Geometric Structures on 3-manifolds Topic: NonLERFness of groups of certain mixed 3-manifolds and arithmetic hyperbolic nn-manifolds Speaker: Hongbin Sun Affiliation: University of California, Berkeley Date: Tuesday, May 3 I will show that the groups of mixed 3-manifolds containing a
From playlist Mathematics
Arithmetic hyperbolic 3-manifolds, perfectoid spaces, and Galois representations II - Peter Scholze
Peter Scholze University of Bonn February 12, 2014 One of the most studied objects in mathematics is the modular curve, which is the quotient of hyperbolic 2-space by the action of SL2z. It is naturally the home of modular forms, but it also admits an algebraic structure. The interplay of
From playlist Mathematics
Fun with finite covers of 3-manifolds - Nathan Dunfield
https://www.math.ias.edu/seminars/abstract?event=47565
From playlist Members Seminar
Nathan Dunfield, Lecture 1: Fun with Finite Covers of 3-Manifolds
33rd Workshop in Geometric Topology, Colorado College, June 9, 2016
From playlist Nathan Dunfield: 33rd Workshop in Geometric Topology
Analysis and topology on locally symmetric spaces - Akshay Venkatesh
Members' Seminar Topic: Analysis and topology on locally symmetric spaces Speaker: Akshay Venkatesh Affiliation: Stanford University; Distinguished Visiting Professor, School of Mathematics Date: October 9, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Hodge theory and cycle theory of locally symmetric spaces – Nicolas Bergeron – ICM2018
Geometry Invited Lecture 5.1 Hodge theory and cycle theory of locally symmetric spaces Nicolas Bergeron Abstract: We discuss several results pertaining to the Hodge and cycle theories of locally symmetric spaces. The unity behind these results is motivated by a vague but fruitful analogy
From playlist Geometry
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)
STPM - The Cohomology of Arithmetic Groups - Simon Marshall
Simon Marshall Institute for Advanced Study September 27, 2010 For more videos, visit http://video.ias.edu
From playlist Mathematics
Profinite rigidity – Alan Reid – ICM2018
Topology Invited Lecture 6.7 Profinite rigidity Alan Reid Abstract: We survey recent work on profinite rigidity of residually finite groups. © International Congress of Mathematicians – ICM www.icm2018.org Os direitos sobre todo o material deste canal pertencem ao Instituto de Mat
From playlist Topology
Complex hyperbolic representations of triangle groups by John Parker
SURFACE GROUP REPRESENTATIONS AND GEOMETRIC STRUCTURES DATE: 27 November 2017 to 30 November 2017 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups into semi-simple Lie groups. Classi
From playlist Surface Group Representations and Geometric Structures
Michelle Chu: Virtual torsion in the homology of 3-manifolds
Hongbin Sun showed that a closed real hyperbolic 3-manifold virtually contains any prescribed torsion subgroup as a direct factor in homology. In this talk we will discuss joint work with Daniel Groves generalizing Sun's result. CONFERENCE Recorded during the meeting "Complex Hyperbolic
From playlist Topology
Tetrahedral hyperbolic 3-manifolds and links by Andrei Vesnin
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl
From playlist Knots Through Web (Online)
Low-dimensional dynamics and hyperbolic 3-manifolds - Carvalho
Geometric Structures on 3-manifolds Topic: Low-dimensional dynamics and hyperbolic 3-manifolds Speaker: André de Carvalho Date: Tuesday, January 19 Thurston's hyperbolization of fibered 3-manifolds is based on his classification theorem for isotopy classes of surface homeomorphisms. This
From playlist Mathematics