Arithmetic statistics over number fields and function fields - Alexei Entin
Alexei Entin Member, School of Mathematics September 23, 2014 More videos on http://video.ias.edu
From playlist Mathematics
Theory of numbers: Multiplicative functions
This lecture is part of an online undergraduate course on the theory of numbers. Multiplicative functions are functions such that f(mn)=f(m)f(n) whenever m and n are coprime. We discuss some examples, such as the number of divisors, the sum of the divisors, and Euler's totient function.
From playlist Theory of numbers
Number theory Full Course [A to Z]
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio
From playlist Number Theory
Using Clocks to Solve Fractions String 8
A fun string dealing with subtraction that leads to sixths and twelfths
From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents
Description of natural, counting, whole, integer, rational and irrational numbers.
From playlist Arithmetic and Pre-Algebra: Number Sense and Properties
Calculus, 11 9 #3, Power Series Representation
Calculus, Algebra and more at www.blackpenredpen.com Differential equation, factoring, linear equation, quadratic equation, derivatives, integrals, stewart calculus 7th edition, algebra.
From playlist Calculus, Sect 11.9, Power Series Representations of Functions
As part of the college algebra series, this Center of Math video will teach you the basics of functions, including how they're written and what they do.
From playlist Basics: College Algebra
What are the Types of Numbers? Real vs. Imaginary, Rational vs. Irrational
We've mentioned in passing some different ways to classify numbers, like rational, irrational, real, imaginary, integers, fractions, and more. If this is confusing, then take a look at this handy-dandy guide to the taxonomy of numbers! It turns out we can use a hierarchical scheme just lik
From playlist Algebra 1 & 2
Ariyan Javanpeykar: Arithmetic and algebraic hyperbolicity
Abstract: The Green-Griffiths-Lang-Vojta conjectures relate the hyperbolicity of an algebraic variety to the finiteness of sets of “rational points”. For instance, it suggests a striking answer to the fundamental question “Why do some polynomial equations with integer coefficients have onl
From playlist Algebraic and Complex Geometry
Arithmetic theta series - Stephan Kudla
Workshop on Representation Theory and Analysis on Locally Symmetric Spaces Topic: Arithmetic theta series Speaker: Stephan Kudla Affiliation: University of Toronto Date: March 8, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Fields Medal Lecture: Cohomology of arithmetic groups — Akshay Venkatesh — ICM2018
Cohomology of arithmetic groups Akshay Venkatesh Abstract: The topology of “arithmetic manifolds”, such as the space of lattices in Rn modulo rotations, encodes subtle arithmetic features of algebraic varieties. In some cases, this can be explained because the arithmetic manifold itself c
From playlist Special / Prizes Lectures
Complex dynamics and arithmetic equidistribution – Laura DeMarco – ICM2018
Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.5 Complex dynamics and arithmetic equidistribution Laura DeMarco Abstract: I will explain a notion of arithmetic equidistribution that has found application in the study of complex dynamical systems. It was first int
From playlist Dynamical Systems and ODE
Carlo Gasbarri: Arithmetic of algebraic points on varieties over function fields - Part 1
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Robert Kucharczyk: The geometry and arithmetic of triangular modular curves
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: In this talk I will take a closer look at triangle groups acting on the upper half plane. Except for finitely many special cases, which are hig
From playlist HIM Lectures: Trimester Program "Periods in Number Theory, Algebraic Geometry and Physics"
Functional transcendence and arithmetic applications – Jacob Tsimerman – ICM2018
Number Theory Invited Lecture 3.13 Functional transcendence and arithmetic applications Jacob Tsimerman Abstract: We survey recent results in functional transcendence theory, and give arithmetic applications to the André–Oort conjecture and other unlikely-intersection problems. © Int
From playlist Number Theory
A. Chambert-Loir - Equidistribution theorems in Arakelov geometry and Bogomolov conjecture (part1)
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conjecture (proved by Raynaud) asserts that X contains only finitely many points of finite order. When X is defined over a number field, Bogomolov conjectured a refinement of this statement, name
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes
Arithmetic applications of automorphic forms - Andrew Wiles
Automorphic Forms Andrew Wiles Institute for Advanced Study April 7, 2001 Concepts, Techniques, Applications and Influence April 4, 2001 - April 7, 2001 Support for this conference was provided by the National Science Foundation Conference Page: https://www.math.ias.edu/conf-automorph
From playlist Mathematics
Calculus, 11 9 #13 a, Power Series Representation
Calculus, Algebra and more at www.blackpenredpen.com Differential equation, factoring, linear equation, quadratic equation, derivatives, integrals, stewart calculus 7th edition, algebra.
From playlist Calculus, Sect 11.9, Power Series Representations of Functions
