Modular arithmetic | Theorems in number theory
In mathematics, Kummer's congruences are some congruences involving Bernoulli numbers, found by Ernst Eduard Kummer. used Kummer's congruences to define the p-adic zeta function. (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
👉 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
Francesca Balestrieri, The arithmetic of zero-cycles on products of K3 surfaces and Kummer varieties
VaNTAGe seminar, March 9, 2021
From playlist Arithmetic of K3 Surfaces
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
Congruence Modulo n Arithmetic Properties: Equivalent Relation
This video explains the properties of congruence modulo which makes it an equivalent relation. mathispower4u.com
From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)
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
👉 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
Congruent and Similar Triangles
working with similiar triangles, determining similar triangles http://mathispower4u.wordpress.com/
From playlist Geometry Basics
Bianca Viray, The Brauer group and the Brauer-Manin obstruction on K3 surfaces
VaNTAGe seminar, February 23, 2021
From playlist Arithmetic of K3 Surfaces
Alessandra Sarti, Old and new on the symmetry groups of K3 surfaces
VaNTAGe Seminar, Feb 9, 2021
From playlist Arithmetic of K3 Surfaces
Toy Ind3 - Part 04 - Log Kummer Correspondences
We introduce the definition of the Log-Kummer Correspondence. While there is not direct definition we can point to this is used throughout IUT3 and is what gives rise to Ind3. This is actually quite tricky. For example, a Log-Kummer correspondence doesn't exist for tensor packets but is i
From playlist Toy Ind3
Andrew Wiles - The Abel Prize interview 2016
0:35 The history behind Wiles’ proof of Fermat’s last theorem 1:08 An historical account of Fermat’s last theorem by Dundas 2:40 Wiles takes us through the first attempts to solve the theorem 5:33 Kummer’s new number systems 8:30 Lamé, Kummer and Fermat’s theorem 9:10 Wiles tried to so
From playlist Sir Andrew J. Wiles
Heegner Points 3 by Francesc Castella
PROGRAM : ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (ONLINE) ORGANIZERS : Ashay Burungale (California Institute of Technology, USA), Haruzo Hida (University of California, Los Angeles, USA), Somnath Jha (IIT - Kanpur, India) and Ye Tian (Chinese Academy of Sciences, China) DA
From playlist Elliptic Curves and the Special Values of L-functions (ONLINE)
Nori uniformization of algebraic stacks by Niels Borne
20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially
From playlist Complex Geometry
Alessandra Sarti: Topics on K3 surfaces - Lecture 2: Kummer surfaces
Abstract: Aim of the lecture is to give an introduction to K3 surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex three-dimensional space. The name K3 was given by André Weil in 1958 in hono
From playlist Algebraic and Complex Geometry
Kummer Interpretation of Units
This is the basic isomorphism H^1(G_K,ZZ(1) ) = \widehat{K^{\times}} for K a local field. This is part of the Kummer Interpretation of K.
From playlist Anabelian Geometry
Introduction to Congruent Triangles
Complete videos list: http://mathispower4u.yolasite.com/ This video will define congruent triangles and state the ways to prove two triangles are congruent.
From playlist Triangles and Congruence
Jean-Pierre Ramis - The Mano Decompositions...
The Mano Decompositions and the Space of Monodromy Data of the q-Painlevé V I Equation The talk is based upon a joint work with Y. OHYAMA and J. SAULOY. Classically the space of Monodromy data (or character variety) of PV I (the sixth Painlevé differential equation) is the space of linear
From playlist Resurgence in Mathematics and Physics
Geometry Crash Course - Theorems for Congruent Triangles
Covers: - SSS - SAS - AAS - ASA - HL
From playlist Geometry Crash Course