In the theory of smooth manifolds, a congruence is the set of integral curves defined by a nonvanishing vector field defined on the manifold. Congruences are an important concept in general relativity, and are also important in parts of Riemannian geometry. (Wikipedia).
In this video we continue discussing congruences and, in particular, we discuss solutions of linear congruences. The content of this video corresponds to Section 4.4 of my book "Number Theory and Geometry" which you can find here: https://alozano.clas.uconn.edu/number-theory-and-geometry/
From playlist Number Theory and Geometry
Triangle Congruence (quick review)
More resources available at www.misterwootube.com
From playlist Further Properties of Geometrical Figures
What is the Definition of Congruent Triangles - Congruent Triangles
๐ Learn about congruent triangles theorems. Two or more triangles (or polygons) are said to be congruent if they have the same shape and size. There are many methods to determine whether two triangles are congruent. Some of the methods include: (1) The SSS (Side Side Side) congruency the
From playlist Congruent Triangles
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer 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, Spring 2015
What are congruent polygons - Congruent Triangles
๐ Learn about congruent triangles theorems. Two or more triangles (or polygons) are said to be congruent if they have the same shape and size. There are many methods to determine whether two triangles are congruent. Some of the methods include: (1) The SSS (Side Side Side) congruency the
From playlist Congruent Triangles
Number Theory | Congruence Modulo n -- Definition and Examples
We define the notion of congruence modulo n among the integers. http://www.michael-penn.net
From playlist Modular Arithmetic and Linear Congruences
Theory of numbers: Congruences: Introduction
This lecture is part of an online undergraduate course on the theory of numbers. This lecture introduces congruences. We give some examples of using congruences to study the problem of which integers can be written as a sum of 2 or 3 squares or 3 cubes. For the other lectures in the
From playlist Theory of numbers
Fun with finite covers of 3-manifolds - Nathan Dunfield
https://www.math.ias.edu/seminars/abstract?event=47565
From playlist Members Seminar
Number Theory - Basics of Congruences
From playlist โumber Theory
What is a Tensor? Lesson 21: The Lie derivative
What is a Tensor? Lesson 21: The Lie derivative We reconstruct the notion of a vector space at a point in spacetime using the more fundamental exposition of tangent vectors to curves. Then we define a congruence of curves associated with a vector field and then we define the Lie derivativ
From playlist What is a Tensor?
Hodge theory and cycle theory of locally symmetric spaces โ Nicolas Bergeron โ ICM2018
Geometry Invited Lecture 5.1 Hodge theory and cycle theory of locally symmetric spaces Nicolas Bergeron Abstract: We discuss several results pertaining to the Hodge and cycle theories of locally symmetric spaces. The unity behind these results is motivated by a vague but fruitful analogy
From playlist Geometry
Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri (L6) by Sunil Mukhi
Seminar Lecture Series - Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri Speaker: Sunil Mukhi (IISER Pune) Date : Mon, 20 March 2023 to Fri, 21 April 2023 Venue: Online (Zoom & Youtube) ICTS is pleased to announce special lecture series by Prof. Sunil Mukh
From playlist Lecture Series- Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri -2023
Thin Matrix Groups - a brief survey of some aspects - Peter Sarnak
Speaker: Peter Sarnak (Princeton/IAS) Title: Thin Matrix Groups - a brief survey of some aspects More videos on http://video.ias.edu
From playlist Mathematics
Growth of cohomology in towers of manifolds: a topological applica... - Mathilde Gerbelli-Gauthier
Membersโ Colloquium Topic: Growth of cohomology in towers of manifolds: a topological application of the Langlands program Speaker: Mathilde Gerbelli-Gauthier Affiliation: Member, School of Mathematics Date: November 15, 2021 How does the dimension of the first cohomology grow in a tower
From playlist Mathematics
Panorama of Mathematics: Peter Scholze
Panorama of Mathematics To celebrate the tenth year of successful progression of our cluster of excellence we organized the conference "Panorama of Mathematics" from October 21-23, 2015. It outlined new trends, results, and challenges in mathematical sciences. Peter Scholze: "Locally sym
From playlist Panorama of Mathematics
Algorithms for the topology of arithmetic groups and Hecke actions - Michael Lipnowski
Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: Algorithms for the topology of arithmetic groups and Hecke actions Speaker: Michael Lipnowski Affiliation: Member, School of Mathematics Date: November 6, 2017 For more videos, please visit htt
From playlist Mathematics
What is the SSS Congruence Theorem for Triangles - Congruent Triangles
๐ Learn about congruent triangles theorems. Two or more triangles (or polygons) are said to be congruent if they have the same shape and size. There are many methods to determine whether two triangles are congruent. Some of the methods include: (1) The SSS (Side Side Side) congruency the
From playlist Congruent Triangles
Denis Osin: Acylindrically hyperbolic groups (part 2)
The lecture was held within the framework of Follow-up Workshop TP Rigidity. 30.4.2015
From playlist HIM Lectures 2015
What is the SSS and SAS Congruence Theorems - Congruent Triangles
๐ Learn about congruent triangles theorems. Two or more triangles (or polygons) are said to be congruent if they have the same shape and size. There are many methods to determine whether two triangles are congruent. Some of the methods include: (1) The SSS (Side Side Side) congruency the
From playlist Congruent Triangles
Peter Scholze - Locally symmetric spaces, and Galois representations (3)
Lecture: Locally symmetric spaces, and Galois representations Speaker: Peter Scholze (The University of Bonn, Germany) Date: 25 Mar 2014, 11:30 AM Venue: AG 66, TIFR, Mumbai One of the most studied objects in mathematics is the modular curve, given as the locally symmetric space whic
From playlist Locally symmetric spaces, and Galois representations