Differential geometry of surfaces
In differential geometry, a Wente torus is an immersed torus in of constant mean curvature, discovered by Henry C. Wente. It is a counterexample to the conjecture of Heinz Hopf that every closed, compact, constant-mean-curvature surface is a sphere (though this is true if the surface is embedded). There are similar examples known for every positive genus. (Wikipedia).
Buy at http://www.shapeways.com/shops/GeometricToy Torus Magic is a transformable torus. This torus object is constructed with many rings,and transforms flat,spherical etc. Also you can turn inside out the torus. Copyright (c) 2014,AkiraNishihara
From playlist 3D printed toys
necklace,two way,Torus by Villarceau circles,mobius ball
From playlist Handmade geometric toys
The torus magic is constructed with many rings. It transforms flat,spherical,etc. Farther more you can turn it inside out.
From playlist Handmade geometric toys
Buy at http://www.shapeways.com/shops/GeometricToy "Torus Magic" can eat another torus.This torus object is constructed with 30 large rings(70mm diameter) and many small rings. Copyright (c) 2015,AkiraNishihara
From playlist 3D printed toys
Buy at http://www.shapeways.com/shops/GeometricToy "Torus Magic" can eat another torus.This torus object is constructed with 30 large rings(70mm diameter) and many small rings. Copyright (c) 2015,AkiraNishihara
From playlist 3D printed toys
Buy at http://www.shapeways.com/shops/GeometricToy Torus Magic is a transformable torus. This torus object is constructed with 20 large rings(50mm diameter) and many small rings.It transforms flat,spherical etc. Also you can turn inside out the torus. Copyright (c) 2015,AkiraNishihara
From playlist 3D printed toys
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/KiL
From playlist 3D printing
Two fractals walk into a rodent...
Two fractals walk into a rodent... Two fractal layers. One generated in Mandelbulber, one in HitFilm. Smash them together Nerdy Rodent style, and what do you get? #Fractal #Maths #Art
From playlist AI Animations
The Poincaré Conjecture (special lecture) John W. Morgan [ICM 2006]
slides for this talk: https://www.mathunion.org/fileadmin/IMU/Videos/ICM2006/tars/morgan2006.pdf The Poincaré Conjecture (special lecture) John W. Morgan Columbia University, USA https://www.mathunion.org/icm/icm-videos/icm-2006-videos-madrid-spain/icm-madrid-videos-24082006
From playlist Mathematics
Parahoric Subgroups and Supercuspidal Representations of p-Adic groups - Dick Gross
Dick Gross Harvard University December 9, 2010 This is a report on some joint work with Mark Reeder and Jiu-Kang Yu. I will review the theory of parahoric subgroups and consider the induced representation of a one-dimensional character of the pro-unipotent radical. A surprising fact is th
From playlist Mathematics
Rob Kusner: Willmore stability and conformal rigidity of minimal surfaces in S^n
A minimal surface M in the round sphere S^n is critical for area, as well as for the Willmore bending energy W=∫∫(1+H^2)da. Willmore stability of M is equivalent to a gap between −2 and 0 in its area-Jacobi operator spectrum. We show the W-stability of M persists in all higher dimensional
From playlist Geometry
Topology, Geometry and Life in Three Dimensions - with Caroline Series
If you imagine a three dimensional maze from which there is no escape, how can you map it? Is there a way to describe what all possible mazes look like, and how do mathematicians set about investigating them? Subscribe for regular science videos: http://bit.ly/RiSubscRibe Caroline Series
From playlist Mathematics
CAT(0) cube complexes and group theory (Lecture - 1) by Michah Sageev
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
Topology of a Twisted Torus - Numberphile
Featuring Professor Carlo Séquin - see more from him at: http://bit.ly/carlosequin More links & stuff in full description below ↓↓↓ More on this topic soon... Animation by Pete McPartlan: http://bit.ly/PeteMcPartlan Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE
From playlist Carlo Séquin on Numberphile
Gluing is a good method to construct new topological spaces from known ones. Here a rectangles is glued along the edges to form a torus. Often the fundamental group of the glued object can be calculated from the pieces (here a rectangles) and the glue (here two intersecting circles). Th
From playlist Algebraic Topology
Congruence Subgroup Problem by M. S. Raghunathan
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Taut co-oriented foliations - Rachel Roberts
Rachel Roberts, WUSTL Workshop on Flows, Foliations and Contact Structures 2015-2016 Monday, December 7, 2015 - 08:00 to Friday, December 11, 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
From playlist Workshop on Flows, Foliations and Contact Structures
AlgTop17: Classification of combinatorial surfaces I
This lecture introduces the central theorem in Algebraic Topology: the classification of two dimensional combinatorial surfaces. We use cut and paste operations to reduce any combinatorial surface into a standard form, and also introduce an algebraic expression to encode this standard form
From playlist Algebraic Topology: a beginner's course - N J Wildberger
How to make mathematical candy by Jean-Luc Thiffeault
ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATES: Monday 23 May, 2016 - Saturday 23 Jul, 2016 VENUE: Madhava Lecture Hall, ICTS, Bangalore This program is first-of-its-kind in India with a specific focus to p
From playlist Summer Research Program on Dynamics of Complex Systems