A number of processes of surface growth in areas ranging from mechanics of growing gravitational bodies through propagating fronts of phase transitions, epitaxial growth of nanostructures and 3D printing, growth of plants, and cell mobility require non-Euclidean description because of incompatibility of boundary conditions and different mechanisms of developing stresses at interfaces. Indeed, these mechanisms result in the curving of initially flat elements of the body and changing separation between different elements of it (especially in the soft matter). Gradual accumulation of deformations under the influx of accumulating mass results in the memory-conscious grows of the body and makes strains the subject of long-range forces. As a result of all above factors, generic non-Euclidean growth is described in terms of Riemannian geometry with a space- and time-dependent curvature. (Wikipedia).
Surface Area of Cuboids and Non-Curved Solids
"Find the surface area of a cuboid or other non-curved solids."
From playlist Shape: Volume & Surface Area
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/2toQ.
From playlist 3D printing
Sometimes The Shortest Distance Between Two Points is NOT a Straight Line: GEODESICS by Parth G
What happens when the shortest distance between two points is NOT a straight line, and exactly what is a geodesic? Hey everyone, in this video we'll be looking at how the surface we happen to be studying impacts the definition of the "shortest" distance between two points on that surface.
From playlist Relativity by Parth G
Complex surfaces 2: Minimal surfaces
This talk is part of a series about complex surfaces, and explains what minimal surfaces are. A minimial surfaces is one that cannot be obtained by blowing up a nonsingular surfaces at a point. We explain why every surface is birational to a minimal nonsingular projective surface. We disc
From playlist Algebraic geometry: extra topics
This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
Energy-Momentum Tensor on the Lattice by Masakiyo Kitazawa
DISCUSSION MEETING EXTREME NONEQUILIBRIUM QCD (ONLINE) ORGANIZERS: Ayan Mukhopadhyay (IIT Madras) and Sayantan Sharma (IMSc Chennai) DATE & TIME: 05 October 2020 to 09 October 2020 VENUE: Online Understanding quantum gauge theories is one of the remarkable challenges of the millennium
From playlist Extreme Nonequilibrium QCD (Online)
Surface Integral of a Vector Field - Part 1
http://mathispower4u.wordpress.com/
From playlist Surface Integrals
Mean curvature flow in high co-dimension - William Minicozzi
Analysis Seminar Topic: Mean curvature flow in high co-dimension Speaker: William Minicozzi Affiliation: Massachusetts Institute of Technology Date: April 26, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
J-B Bost - Theta series, infinite rank Hermitian vector bundles, Diophantine algebraization (Part2)
In the classical analogy between number fields and function fields, an Euclidean lattice (E,∥.∥) may be seen as the counterpart of a vector bundle V on a smooth projective curve C over some field k. Then the arithmetic counterpart of the dimension h0(C,V)=dimkΓ(C,V) of the space of section
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes
Colloquium MathAlp 2019 - Claude Lebrun
Claude Lebrun - Mass, Scalar Curvature, Kähler Geometry, and All That Given a complete Riemannian manifold that looks enough like Euclidean space at infinity, physicists have defined a quantity called the “mass” that measures the asymptotic deviation of the geometry from the Euclidean mod
From playlist Colloquiums MathAlp
Stefan Wenger - 21 September 2016
Wenger, Stefan "“Plateau’s problem in metric spaces and applications”"
From playlist A Mathematical Tribute to Ennio De Giorgi
Christina Sormani: A Course on Intrinsic Flat Convergence part 1
Intrinsic Flat Convergence was first introduced in joint work with Stefan Wenger building upon work of Ambrosio-Kirchheim to address a question proposed by Tom Ilmanen. In this talk, I will present an overview of the initial paper on the topic [JDG 2011]. I will briefly describe key examp
From playlist HIM Lectures 2015
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
Minimal surface stability in higher codimension - Richard Schoen
Glimpses of Mathematics, Now and Then: A Celebration of Karen Uhlenbeck's 80th Birthday Topic: Minimal surface stability in higher codimension Speaker: Richard Schoen Affiliation: University of California, Irvine Date: September 16, 2022
From playlist Mathematics
Bobo Hua (7/27/22): Curvature conditions on graphs
Abstract: We will introduce various curvature notions on graphs, including combinatorial curvature for planar graphs, Bakry-Emery curvature, and Ollivier curvature. Under curvature conditions, we prove some analytic and geometric results for graphs with nonnegative curvature. This is based
From playlist Applied Geometry for Data Sciences 2022
A bound on chaos: Douglas Stanford
https://strings2015.icts.res.in/talkTitles.php
From playlist Strings 2015 conference
Introduction to Projective Geometry (Part 1)
The first video in a series on projective geometry. We discuss the motivation for studying projective planes, and list the axioms of affine planes.
From playlist Introduction to Projective Geometry