Ahlfors-Bers 2014 "Surface Subgroups, Cube Complexes, and the Virtual Haken Theorem"
Jeremy Kahn (CUNY Graduate Center): In a largely expository talk, I will summarize the results leading up to the Virtual Haken and Virtual Fibered Theorem for three manifolds, including 1. The Geometrization Theorem of Thurston and Perelman 2. The Surface Subgroup Theorem of the speaker an
From playlist The Ahlfors-Bers Colloquium 2014 at Yale
The Campbell-Baker-Hausdorff and Dynkin formula and its finite nature
In this video explain, implement and numerically validate all the nice formulas popping up from math behind the theorem of Campbell, Baker, Hausdorff and Dynkin, usually a.k.a. Baker-Campbell-Hausdorff formula. Here's the TeX and python code: https://gist.github.com/Nikolaj-K/8e9a345e4c932
From playlist Algebra
Minerva Lectures 2012 - Ian Agol Talk 1: The virtual Haken conjecture: 3-manifold topology
Talk one of the second Minerva lecture series, by Prof. Ian Agol on October 22rd, 2012 at the Mathematics Department, Princeton University. More information available at: http://www.math.princeton.edu/events/seminars/minerva-lectures/minerva-lectures-i-virtual-haken-conjecture-overview-3-
From playlist Minerva Lectures - Ian Agol
What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
Minerva Lectures 2012 - Ian Agol Talk 3: Geometric group theory and the virtual Haken conjecture
Talk three of the second Minerva lecture series, by Prof. Ian Agol on October 25rd, 2012 at the Mathematics Department, Princeton University. More information available at: http://www.math.princeton.edu/events/seminars/minerva-lectures/minerva-lecture-iii-geometric-group-theory-and-virtua
From playlist Minerva Lectures - Ian Agol
Cornelia Drutu - Connections between hyperbolic geometry and median geometry
The interest of median geometry comes from its connections with property (T) and a-T-menability and, in its discrete version, with the solution to the virtual Haken conjecture. In this talk I shall explain how groups endowed with various forms of hyperbolic geometry, from lattices in rank
From playlist Geometry in non-positive curvature and Kähler groups
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
Interview at Cirm: Genevieve WALSH
Genevieve Walsh - Mathematician Department of Mathematics - Tufts University Spring 2018 Chaire Jean-Morlet CIRM Expertise: Hyperbolic manifolds and orbifolds, low-dimensional topology, group actions Research: 'I am a geometric topologist, and I'm interested in problems in both geometr
From playlist Topology
Number Theory | A very special case of Fermat's Last Theorem
We prove a very simple case of Fermat's Last Theorem. Interestingly, this case is fairly easy to prove which highlights the allure of the theorem as a whole -- especially given the fact that much of modern number theory was developed as part of the program that ended in the full proof. ht
From playlist Number Theory
Graph list-coloring and Thomassen's theorem #SoME2
Some videos on topics that appear on the video: Induction: https://www.youtube.com/watch?v=5Hn8vUE3cBQ Planar graphs & four color theorem: https://www.youtube.com/watch?v=xBkTIp6ajAg https://www.youtube.com/watch?v=NgbK43jB4rQ Image credit: Francis Guthrie: Unknown author, Public domain,
From playlist Summer of Math Exposition 2 videos
Physicist Explains Wikipedia Page: The Schrodinger Equation
Why are Wikipedia Physics pages so difficult to understand? Hey guys, I'm back with a new video! This time, I'm looking at how certain Wikipedia pages can be so complicated to understand, and so here's a Wikipedia page made easy! Now I can totally understand that a wiki page is meant to p
From playlist Quantum Physics by Parth G
906,150,257 and the Pólya conjecture (MegaFavNumbers)
#MegaFavNumbers "Most numbers have an odd number of prime factors!" ...or do they...? Ben chats about the large counterexample to Polya's conjecture, for Matt Parker and James Grime's MegaFavNumbers project. Ben is @SparksMaths on twitter and at http://www.bensparks.co.uk on the web
From playlist MegaFavNumbers
Ptolemy's theorem and generalizations | Rational Geometry Math Foundations 131 | NJ Wildberger
The other famous classical theorem about cyclic quadrilaterals is due to the great Greek astronomer and mathematician, Claudius Ptolemy. Adopting a rational point of view, we need to rethink this theorem to state it in a purely algebraic way, without resort to `distances' and the correspon
From playlist Math Foundations
Lec 1 | MIT 6.042J Mathematics for Computer Science, Fall 2010
Lecture 1: Introduction and Proofs Instructor: Tom Leighton View the complete course: http://ocw.mit.edu/6-042JF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Fall 2010
MAST30026 Lecture 11: Hausdorff spaces (Part 3)
This lecture contains the second half of the proof that a finite CW-complex is a Hausdorff space. Lecture notes: http://therisingsea.org/notes/mast30026/lecture11.pdf The class webpage: http://therisingsea.org/post/mast30026/ Have questions? I hold free public online office hours for thi
From playlist MAST30026 Metric and Hilbert spaces
Knots, three-manifolds and instantons – Peter Kronheimer & Tomasz Mrowka – ICM2018
Plenary Lecture 11 Knots, three-manifolds and instantons Peter Kronheimer & Tomasz Mrowka Abstract: Over the past four decades, input from geometry and analysis has been central to progress in the field of low-dimensional topology. This talk will focus on one aspect of these developments
From playlist Plenary Lectures
Smashing a Glass with Sound – 2015 CHRISTMAS LECTURES
Can you smash a wine glass with your voice? Dr Kevin Fong finds out. Subscribe for regular science videos: http://bit.ly/RiSubscRibe In the first of the three annual CHRISTMAS LECTURES space doctor, Kevin Fong, explores and probes second by second what it takes to ‘Lift off’ into space. W
From playlist Ri Shorts
Topology 1.7 : More Examples of Topologies
In this video, I introduce important examples of topologies I didn't get the chance to get to. This includes The discrete and trivial topologies, subspace topology, the lower-bound and K topologies on the reals, the dictionary order, and the line with two origins. I also introduce (again)
From playlist Topology