Geometric topology | Geometric group theory
In mathematics, the Thurston boundary of Teichmüller space of a surface is obtained as the boundary of its closure in the projective space of functionals on simple closed curves on the surface. The Thurston boundary can be interpreted as the space of projective measured foliations on the surface. The Thurston boundary of the Teichmüller space of a closed surface of genus is homeomorphic to a sphere of dimension . The action of the mapping class group on the Teichmüller space extends continuously over the union with the boundary. (Wikipedia).
What Is the 'Gray Zone' Border Between the U.S. and Canada? | National Geographic
When the U.S. Border Patrol stopped fishing boats along the border between the U.S. and Canada, it reheated centuries-old tensions between the two countries in the Gulf of Maine. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premi
From playlist News | National Geographic
What are parallel lines and a transversal
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
GeoBee: Geography | National Geographic
What is a border? What is a peninsula? A look into why geography is important to understand as students around the country prepare for the 2013 National Geographic Bee. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destina
From playlist National Geographic Bee 2013
America's Greatest Border Dispute: The Story of the Mason-Dixon Line
The Mason Dixon line is the product of a famous border dispute. although it does not extend west of the Ohio River, The Mason Dixon Line is a disagreement between Maryland, Pennsylvania, Delaware, and Virginia, which resulted in the political and social divide between the North and the Sou
From playlist Pennsylvania History
Gaboon Adder vs. Rat | National Geographic
When you're six feet long, venomous, and you blend in with the forest floor, sometimes all you have to do is sit and wait for your next meal. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, explorati
From playlist Vs. | National Geographic
In Flight Scenery - Northwest Territories Canada and Alaska USA
The Northwest Territories (NWT; French: les Territoires du Nord-Ouest, TNO) is a territory of Canada. With a population of 41,462 in 2011 and an estimated population of 43,537 in 2013, the Northwest Territories is the most populous territory in Northern Canada.[6][8] Yellowknife became the
From playlist Planes
Consecutive Angles Theorem with Parallel Lines
👉 Learn about parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated in both lines
From playlist Parallel Lines and a Transversal Theorems
Geometry - Identifying Consecutive Interior Angles from a Figure
👉 Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral
From playlist Parallel Lines and a Transversal
Emily Stark: The visual boundary of hyperbolic free-by-cyclic groups
Abstract: Given an automorphism of the free group, we consider the mapping torus defined with respect to the automorphism. If the automorphism is atoroidal, then the resulting free-by-cyclic group is hyperbolic by work of Brinkmann. In addition, if the automorphism is fully irreducible, th
From playlist Topology
Cannon-Thurston maps: naturally occurring space-filling curves
Saul Schleimer and I attempt to explain what a Cannon-Thurston map is. Thanks to my brother Will Segerman for making the carvings, and to Daniel Piker for making the figure-eight knot animations. I made the animation of the (super crinkly) surface using our app (with Dave Bachman) for coh
From playlist GPU shaders
Gaboon Adder vs. Rat | National Geographic
When you're six foot long, venomous, and blend in with the forest floor, sometimes all you have to do is sit and wait for your next meal. See all National Geographic videos: http://video.nationalgeographic.com/?source=4001 ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geograp
From playlist Vs. | National Geographic
Iteration in Schottky space - Ian Biringer
Ian Biringer, Boston College October 5, 2015 http://www.math.ias.edu/wgso3m/agenda 015-2016 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 aca
From playlist Workshop on Geometric Structures on 3-Manifolds
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
A Controlled Mather Thurston Theorem - Mike Freedman
Workshop on the h-principle and beyond Topic: A Controlled Mather Thurston Theorem Speaker: Mike Freedman Affiliation: Microsoft Date: November 03, 2021 Abstract: The "c-principle" is a cousin of Gromov's h-principle in which cobordism rather than homotopy is required to (canonically) s
From playlist Mathematics
Mather-Thurston’s theory, non abelian Poincare duality and diffeomorphism groups - Sam Nariman
Workshop on the h-principle and beyond Topic: Mather-Thurston’s theory, non abelian Poincare duality and diffeomorphism groups Speaker: Sam Nariman Affiliation: Purdue University Date: November 1, 2021 Abstract: I will discuss a remarkable generalization of Mather’s theorem by Thurston
From playlist Mathematics
Hyperbolic groups, Cannon-Thurston maps, and hydra - Timothy Riley
Timothy Riley Cornell University; Member, School of Mathematics November 17, 2014 Groups are Gromov-hyperbolic when all geodesic triangles in their Cayley graphs are close to being tripods. Despite being tree-like in this manner, they can harbour extreme wildness in their subgroups. I wil
From playlist Mathematics
A. Zorich - Counting simple closed geodesics and volumes of moduli spaces (Part 2)
In the first two lectures I will try to tell (or, rather, to give an idea) of how Maryam Mirzakhani has counted simple closed geodesics on hyperbolic surfaces. I plan to briefly mention her count of Weil-Peterson volumes and her proof of Witten's conjecture, but only on the leve
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
The Mathematics of Clothing Design - Etienne Ghys
Public lecture
From playlist Mathematics Research Center
Queensland East Coast Aerial View
Aerial view of the Queensland East Coast on my plane ride back to Brisbane from Proserpine. Started at Proserpine river and got to Rabbit Island / Newry Islands national park before clouds started appearing :(
From playlist Travel in Australia
Algebraic Ending Laminations and Quasiconvexity by Mahan Mj
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