Mathematical problems | Differential geometry | Unsolved problems in geometry
The spherical Bernstein's problem is a possible generalization of the original Bernstein's problem in the field of global differential geometry, first proposed by Shiing-Shen Chern in 1969, and then later in 1970, during his plenary address at the International Congress of Mathematicians in Nice. (Wikipedia).
Here’s a neat phenomenon that takes place in the context of a circle & a line drawn tangent to it. How can we prove one segment to be the geometric mean of the other two? 🤔 Source: Antonio Gutierrez. geogebra.org/m/DERWQcdF #GeoGebra
From playlist Geometry: Challenge Problems
The corner cube problem is interesting because it initially looks difficult. When the problem was first posed to me, for example, it didn't know how to solve it. Still, my intuition bells were ringing, telling me there was a nice solution. In this video, I cover two of these solutions, in
From playlist Fun
Here's the solution to http://www.youtube.com/watch?v=h3sAg-TlwRo Next puzzle: http://www.youtube.com/watch?v=RQL0KT0AAVE Music by Bertrand Laurence http://www.bertrandlaurence.com used with permission. Find me on FaceBook: https://www.facebook.com/YouTubeTyYann
From playlist Tricks and Math Puzzles answers
The Balloon Problem (Calculus)
This problem is a basic introduction into related rates in calculus. #math #science #tiktok #NicholasGKK #shorts
From playlist Calculus
Square and Regular Hexagon Action: Challenge Problem
Link: https://www.geogebra.org/m/dxsNFYWQ
From playlist Geometry: Challenge Problems
Bertrand Lemaire - Transfert géométrique et blocs de Bernstein...
Transfert géométrique et blocs de Bernstein des séries principales de niveau zéro (avec Manish Mishra) On s'intéresse ici à une situation endoscopique très particulière, issue du travail de Roche sur les séries principales de niveau zéro d'un groupe réductif connexe déployé
From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.
Introduction to Spherical Harmonics
Using separation of variables in spherical coordinates, we arrive at spherical harmonics.
From playlist Quantum Mechanics Uploads
Circles and bisector phenomenon: How to prove? 🤔 geogebra.org/m/ET2ZkXcD Source: Antonio Gutierrez. #GeoGebra #math #geometry #proof
From playlist Geometry: Challenge Problems
Morley's Theorem: Dynamic Illustration (w/o Words)
Link: https://www.geogebra.org/m/wwhDgwJd
From playlist Geometry: Challenge Problems
Dipendra Prasad - Branching laws: homological aspects
By this time in the summer school, the audience will have seen the question about decomposing a representation of a group when restricted to a subgroup which is referred to as the branching law. In this lecture, we focus attention on homological aspects of the branching law. The lecture
From playlist 2022 Summer School on the Langlands program
Hartmut Prautzsch: Spherical Splines
Abstract: The BĂ©zier representation of homogenous polynomials has little and not the usual geometric meaning if we consider the graph of these polynomials over the sphere. However the graph can be seen as a rational surface and has an ordinary rational BĂ©zier representation. As I will show
From playlist Numerical Analysis and Scientific Computing
How To Solve SPHERICAL Conductor Problems!! #Electrical #Engineering #Physics #Charge #NicholasGKK #Shorts
From playlist Electrical Engineering
Shimura Varieties and the Bernstein Center - Tom Haines
Shimura Varieties and the Bernstein Center - Tom Haines University of Maryland; von Neumann Fellow, School of Mathematics December 6, 2010 The local Langlands conjecture (LLC) seeks to parametrize irreducible smooth representations of a p-adic group G in terms of Weil-Deligne parameters. B
From playlist Mathematics
Lecture 09: Introduction to Geometry (CMU 15-462/662)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/
From playlist Computer Graphics (CMU 15-462/662)
Laura Rider: Modular Perverse Sheaves on the affine Flag Variety
There are two categorical realizations of the affine Hecke algebra: constructible sheaves on the affine flag variety and coherent sheaves on the Langlands dual Steinberg variety. A fundamental problem in geometric representation theory is to relate these two categories by a category equiva
From playlist Workshop: Monoidal and 2-categories in representation theory and categorification
Ramla Abdellatif - Iwahori - Hecke algebras and hovels for split Kac - Moody groups
Let F be a non-archimedean local field and G be the group of F-rational points of a connected reductive group defined over F. The study of (complex smooth) representations of G imply various tools coming from different nature. These include in particular induction functors, Hecke al
From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.
Spherical Transverse M5-branes from the Plane Wave Matrix Model by Goro Ishiki
Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography
Branching laws: homological aspects - Dipendra Prasad
Joint IAS/Princeton University Number Theory Seminar Topic: Branching laws: homological aspects Speaker: Dipendra Prasad Affiliation: Indian Institute of Technology Date: May 19, 2022 This lecture will partly survey branching laws for real and p-adic groups which often is related to peri
From playlist Mathematics
William Minicozzi: Singularities and diffeomorphisms Lecture One
Speaker info: William P. Minicozzi II is the Singer Professor of Mathematics at MIT. Throughout an enduring collaboration with Tobias H. Colding, he has resolved a number of major open problems in several areas of geometric analysis. Colding and Minicozzi received jointly the AMS Oswald Ve
From playlist MATRIX-SMRI Symposium: Singularities in Geometric Flows
Definition of spherical coordinates | Lecture 33 | Vector Calculus for Engineers
We define the relationship between Cartesian coordinates and spherical coordinates; the position vector in spherical coordinates; the volume element in spherical coordinates; the unit vectors; and how to differentiate the spherical coordinate unit vectors. Join me on Coursera: https://www
From playlist Vector Calculus for Engineers