In geometric topology, McShane's identity for a once punctured torus with a complete, finite-volume hyperbolic structure is given by where * the sum is over all simple closed geodesics γ on the torus; and * ℓ(γ) denotes the hyperbolic length of γ. This identity was generalized by Maryam Mirzakhani on her PhD thesis (Wikipedia).
Jørgen E Andersen - Geometric Recursion with a View Towards Resurgence
We shall review the geometric recursion and its relation to topological recursion. In particular, we shall consider the target theory of continuous functions on Teichmüller spaces and we shall exhibit a number of classes of mapping class group invariant f
From playlist Resurgence in Mathematics and Physics
Jørgen Ellegaard Andersen: Geometric Recursion
Abstract: Geometric Recursion is a very general machinery for constructing mapping class group invariants objects associated to two dimensional surfaces. After presenting the general abstract definition we shall see how a number of constructions in low dimensional geometry and topology fit
From playlist Topology
Electrical Engineering: Ch 9: 2nd Order Circuits (15 of 76) Source Free RCL Circuit-The Inductor
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain tackle with the most difficult, the inductor, of the source free (no voltage or current source) RCL (resistor, capacitor, inductor) circuit. http://www.ilectureonline.com/donate https://www.p
From playlist ELECTRICAL ENGINEERING 9: SECOND ORDER CIRCUITS
RailsConf 2016 - Will It Inject? A Look at SQL injections and ActiveRecord by Jessica Rudder
If you've struggled through writing complex queries in raw SQL, ActiveRecord methods are a helpful breath of fresh air. If you're not careful though, those methods could potentially leave your site open to a nasty SQL Injection attack. We'll take a look at the most common ActiveRecord meth
From playlist RailsConf 2016
Rémi Boutonnet: Character rigidity and non-commutative ergodic theory
I will present a recent result in the theory of unitary representations of lattices in semi-simple Lie groups, which can be viewed as simultaneous generalization of Margulis normal subgroup theorem and C*-simplicity and the unique trace property for such lattices. The strategy of proof gat
From playlist Analysis and its Applications
Jonah Gaster - Vertical arcs and the Markov Uniqueness Conjecture
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Jonah Gaster, University of Wisconsin-Milwaukee Title: Vertical arcs and the Markov Uniqueness Conjecture Abstract: The Markov Uniqueness Conjecture concerns a correspondence on the modular torus that ties together geometr
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
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
Who IS Sherlock Holmes - Neil McCaw
View full lesson: http://ed.ted.com/lessons/who-is-sherlock-holmes-neil-mccaw More than a century after first emerging into the fogbound, gaslit streets of Victorian London, Sherlock Holmes is universally recognizable. And yet many of his most recognizable features don't appear in Arthur
From playlist New TED-Ed Originals
Did Pirates REALLY Do That? | The Real History of Pirates
Virtually everything we think we know about pirates is historically inaccurate. From buried treasure to the much-beloved "Arrrrr!", most of our pirate lore comes from 20th-century film. Fly your white flag and separate fact from fiction today. Savvy? This video is episode two from the ser
From playlist Latest Uploads
Effective short conjugators and volumes....pants complexes - Tarik Aougab
Tarik Aougab, Yale 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 academic year
From playlist Workshop on Geometric Structures on 3-Manifolds
Infinite solutions of the singular Yamabe problem in spheres via Teichmüller theory - Paolo Piccione
Variational Methods in Geometry Seminar Topic: Infinite solutions of the singular Yamabe problem in spheres via Teichmüller theory Speaker: Paolo Piccione Affiliation: University of Sao Paulo Date: April 25, 2019 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Birth of a nickname - John McWhorter
View full lesson: http://ed.ted.com/lessons/birth-of-a-nickname-john-mcwhorter Where do nicknames come from? Why are Ellens called Nellie and Edwards Ned? It's all a big misunderstanding from the early days of the English language, a misunderstanding that even the word nickname itself der
From playlist More TED-Ed Originals