J. Aramayona - MCG and infinite MCG (Part 2)
The first part of the course will be devoted to some of the classical results about mapping class groups of finite-type surfaces. Topics may include: generation by twists, Nielsen-Thurston classification, abelianization, isomorphic rigidity, geometry of combinatorial models. In the second
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Danny Calegari: Big Mapping Class Groups - lecture 1
Part I - Theory : In the "theory" part of this mini-course, we will present recent objects and phenomena related to the study of big mapping class groups. In particular, we will define two faithful actions of some big mapping class groups. The first is an action by isometries on a Gromov-h
From playlist Topology
Danny Calegari: Big Mapping Class Groups - lecture 5
Part I - Theory : In the "theory" part of this mini-course, we will present recent objects and phenomena related to the study of big mapping class groups. In particular, we will define two faithful actions of some big mapping class groups. The first is an action by isometries on a Gromov-h
From playlist Topology
Danny Calegari: Big Mapping Class Groups - lecture 2
Part I - Theory : In the "theory" part of this mini-course, we will present recent objects and phenomena related to the study of big mapping class groups. In particular, we will define two faithful actions of some big mapping class groups. The first is an action by isometries on a Gromov-h
From playlist Topology
Danny Calegari: Big Mapping Class Groups - lecture 4
Part I - Theory : In the "theory" part of this mini-course, we will present recent objects and phenomena related to the study of big mapping class groups. In particular, we will define two faithful actions of some big mapping class groups. The first is an action by isometries on a Gromov-h
From playlist Topology
Danny Calegari: Big Mapping Class Groups - lecture 3
Part I - Theory : In the "theory" part of this mini-course, we will present recent objects and phenomena related to the study of big mapping class groups. In particular, we will define two faithful actions of some big mapping class groups. The first is an action by isometries on a Gromov-h
From playlist Topology
AlgTop24: The fundamental group
This lecture introduces the fundamental group of a surface. We begin by discussing when two paths on a surface are homotopic, then defining multiplication of paths, and then multiplication of equivalence classes or types of loops based at a fixed point of the surface. The fundamental grou
From playlist Algebraic Topology: a beginner's course - N J Wildberger
J. Aramayona - MCG and infinite MCG (Part 1)
The first part of the course will be devoted to some of the classical results about mapping class groups of finite-type surfaces. Topics may include: generation by twists, Nielsen-Thurston classification, abelianization, isomorphic rigidity, geometry of combinatorial models. In the second
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Group Actions and Group Representations in Low Dimensional Topology
Speakers; Anda Tenie Iris Rosenblum-Sellers Destine Lee Jakwanul Safin Group leader: Nick Salter (Faculty). Graduate Student Assistant: Maithreya Sitaraman. The classification of surfaces theorem can give the misleading impression that the topology of surfaces is a finished project. W
From playlist 2020 Summer REU Presentations
J. Aramayona - MCG and infinite MCG (Part 3)
The first part of the course will be devoted to some of the classical results about mapping class groups of finite-type surfaces. Topics may include: generation by twists, Nielsen-Thurston classification, abelianization, isomorphic rigidity, geometry of combinatorial models. In the secon
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Hyperbolic surfaces and their Teichmüller spaces (Lecture – 03) by Subhojoy Gupta
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
Benson Farb, Part 2: Surface bundles, mapping class groups, moduli spaces, and cohomology
29th Workshop in Geometric Topology, Oregon State University, June 29, 2012
From playlist Benson Farb: 29th Workshop in Geometric Topology
Sebastian Hensel: Fine curve graphs and surface homeomorphisms
CONFERENCE Recording during the thematic meeting : "Big Mapping Class Group and Diffeomorphism Groups " the October 10, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mat
From playlist Dynamical Systems and Ordinary Differential Equations
Ian Runnels: Effectively Generating RAAGs in MCGs
Abstract : Given a (mostly arbitrary) collection of mapping classes on a surface S, we find an explicit constant N such that their Nth powers generate a right-angled Artin subgroup of the mapping class group MCG(S). CIRM VIRTUAL EVENT Recorded during the meeting"Virtual Geometric Group
From playlist Virtual Conference
Stability conditions in symplectic topology – Ivan Smith – ICM2018
Geometry Invited Lecture 5.8 Stability conditions in symplectic topology Ivan Smith Abstract: We discuss potential (largely speculative) applications of Bridgeland’s theory of stability conditions to symplectic mapping class groups. ICM 2018 – International Congress of Mathematicians
From playlist Geometry
Ursula Hamenstädt: Spin mapping class groups and curve graphs
CIRM VIRTUAL EVENT Recorded during the meeting"Virtual Geometric Group Theory conference " the May 21, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM
From playlist Virtual Conference
Effective mapping class group dynamics - Francisco Andres Arana Herrera
Motivated by counting problems for closed geodesics on hyperbolic surfaces, I will present a family of new results describing the dynamics of mapping class groups on Teichmüller spaces and spaces of closed curves of closed surfaces.
From playlist Mathematics