Geometric topology | Triangulation (geometry) | Structures on manifolds | Topology | Algebraic topology
In mathematics, triangulation describes the replacement of topological spaces by piecewise linear spaces, i.e. the choice of a homeomorphism in a suitable simplicial complex. Spaces being homeomorphic to a simplicial complex are called triangulable. Triangulation has various uses in different branches of mathematics, for instance in algebraic topology, in complex analysis or in modeling. (Wikipedia).
Adding Vectors Geometrically: Dynamic Illustration
Link: https://www.geogebra.org/m/tsBer5An
From playlist Trigonometry: Dynamic Interactives!
Projection of One Vector onto Another Vector
Link: https://www.geogebra.org/m/wjG2RjjZ
From playlist Trigonometry: Dynamic Interactives!
Images in Math - Polygon Triangulations
This video is about triangulations of polygons.
From playlist Images in Math
Trigonometry 4 The Area of a Triangle
Various ways of using trigonometry to determine the area of a triangle.
From playlist Trigonometry
3 Squares Problem: Trigonometric Identity (Proof Without Words)
Link: https://www.geogebra.org/m/w8r7rn9Q
From playlist Trigonometry: Dynamic Interactives!
Open Middle: Creating Trig Equations (Demo)
#OpenMiddle tasks serve as GREAT formative & summative items during this unfortunate time of more remote & hybrid learning. COVID or NO COVID, better for Ss to wrestle & reason with creating vs. giving them a set of Qs they’ll just quickly Google or PhotoMath. Here, an entire compilation
From playlist Trigonometry: Dynamic Interactives!
Evaluating Trigonometric Functions of Angles Given a Point on its Terminal Ray
Math Ts: SAVE TIME & have your Trigonometry Ss (formatively) assess their own work! After solving a problem or 2 (like this), send them here: https://www.geogebra.org/m/hK5QfXah .
From playlist Trigonometry: Dynamic Interactives!
Ditch the Tricks: Estimating Trig Ratios: Conceptual Quiz Questions
Link: https://www.geogebra.org/m/F5a9GDd6
From playlist Trigonometry: Dynamic Interactives!
Trigonometry 8 The Tangent and Cotangent of the Sum and Difference of Two Angles.mov
Derive the tangent and cotangent trigonometric identities.
From playlist Trigonometry
Timothy Gowers on the works of John Milnor
Sir William Timothy Gowers is a British mathematician and a Royal Society Research Professor at the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. This video is a clip from the Abel Prize Announcement 2011.
From playlist Popular presentations
[BOURBAKI 2019] Manolescu’s work on the triangulation conjecture - Stipsicz - 15/06/19
András STIPSICZ Manolescu’s work on the triangulation conjecture The triangulation conjecture (asking whether a manifold is necessarily a simplicial complex) has been recently resolved in the negative by Ciprian Manolescu. His proof is based on work of Galweski–Stern and Matumoto, reduci
From playlist BOURBAKI - 2019
Kristof Huszar: On the Pathwidth of Hyperbolic 3-Manifolds
Kristof Huszar, Inria Sophia Antipolis - Mediterranee, France Title: On the Pathwidth of Hyperbolic 3-Manifolds Abstract: In recent years there has been an emergence of fixed-parameter tractable (FPT) algorithms that efficiently solve hard problems for triangulated 3-manifolds as soon as t
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Periodic Foams and Manifolds - Frank Lutz
Frank Lutz Technische Universitat Berlin March 2, 2011 WORKSHOP ON TOPOLOGY: IDENTIFYING ORDER IN COMPLEX SYSTEMS For more videos, visit http://video.ias.edu
From playlist Mathematics
Jessica Purcell: Triangulations, geometry and knots
In this research profile, upcoming SMRI visitor Jessica Purcell describes the open questions in the study of 3-manifolds and how her fascination with mathematical knots began. Jessica Purcell is a Professor in the School of Mathematical Sciences and Associate Dean of Research (Faculty of
From playlist SMRI Interviews
Edward Witten: "What's (Relatively) New in Two-Dimensional Gravity”
Green Family Lecture Series 2017 "What's (Relatively) New in Two-Dimensional Gravity” Edward Witten, Institute for Advanced Study Abstract: The talk will be devoted to explaining two relatively recent mathematical developments involving what physicists know as topological gravity in two
From playlist Public Lectures
Homology cobordism and triangulations – Ciprian Manolescu – ICM2018
Geometry | Topology Invited Lecture 5.5 | 6.1 Homology cobordism and triangulations Ciprian Manolescu Abstract: The study of triangulations on manifolds is closely related to understanding the three-dimensional homology cobordism group. We review here what is known about this group, with
From playlist Geometry
Hyperbolic Knot Theory (Lecture - 2) by Abhijit Champanerkar
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl
From playlist Knots Through Web (Online)
Boris Springborn: Discrete Uniformization and Ideal Hyperbolic Polyhedra
CATS 2021 Online Seminar Boris Springborn, Technical University of Berlin Abstract: This talk will be about two seemingly unrelated problems: 00:46:00 A discrete version of the uniformization problem for piecewise flat surfaces, and 00:35:48 Constructing ideal hyperbolic polyhedra with p
From playlist Computational & Algorithmic Topology (CATS 2021)
Tejas Kalelkar: An Algorithm to Identify Hyperbolic Manifolds from Their Geometric Triangulations
Tejas Kalelkar, Indian Institute of Science Education and Research Pune Title: An Algorithm to Identify Hyperbolic Manifolds from Their Geometric Triangulations Abstract: A geometric triangulation of a Riemannian manifold is a triangulation by totally geodesic simplexes. Any two triangulat
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022