Robbins' formulas, the Bellows conjecture + polyhedra volumes|Rational Geometry Math Foundations 128
We discuss modern developments in the direction of our latest videos, namely formulas for areas of polygons in terms of the quadrances of the sides. We discuss work of Moebius, Bowman and Robbins on the areas of cyclic pentagons. There is also a rich story about 3 dimensional generalizati
From playlist Math Foundations
Hardy-Littlewood and Chowla Type Conjectures in the Presence of a Siegel Zero - Terence Tao
Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: Hardy-Littlewood and Chowla Type Conjectures in the Presence of a Siegel Zero Speaker: Terence Tao Affiliation: Member, School of Mathematics Date: February 27 2023 We discuss some consequences of the existen
From playlist Mathematics
Geometers Abandoned 2,000 Year-Old Math. This Million-Dollar Problem was Born - Hodge Conjecture
The Hodge Conjecture is one of the deepest problems in analytic geometry and one of the seven Millennium Prize Problems worth a million dollars, offered by the Clay Mathematical Institute in 2000. It consists of drawing shapes known topological cycles on special surfaces called projective
From playlist Math
Divisibility, Prime Numbers, and Prime Factorization
Now that we understand division, we can talk about divisibility. A number is divisible by another if their quotient is a whole number. The smaller number is a factor of the larger one, but are there numbers with no factors at all? There's some pretty surprising stuff in this one! Watch th
From playlist Mathematics (All Of It)
The sporadic nature of big numbers | Data Structures in Mathematics Math Foundations 176
In this video we derive a fundamental but destabilizing fact about natural numbers: that almost everything we know about arithmetic with natural numbers starts to break down as we proceed to investigate bigger and bigger numbers. By studying complexity and making some estimates using count
From playlist Math Foundations
The Prime Number Theorem, an introduction ← Number Theory
An introduction to the meaning and history of the prime number theorem - a fundamental result from analytic number theory. Narrated by Cissy Jones Artwork by Kim Parkhurst, Katrina de Dios and Olga Reukova Written & Produced by Michael Harrison & Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways t
From playlist Number Theory
Opening Remarks and History of the math talks - Peter Sarnak, Hugh Montgomery and Jon Keating
50 Years of Number Theory and Random Matrix Theory Conference Topic: Opening Remarks and History of the math talks Speakers: Peter Sarnak, Hugh Montgomery and Jon Keating Date: June 21 2022
From playlist Mathematics
906,150,257 and the Pólya conjecture (MegaFavNumbers)
#MegaFavNumbers "Most numbers have an odd number of prime factors!" ...or do they...? Ben chats about the large counterexample to Polya's conjecture, for Matt Parker and James Grime's MegaFavNumbers project. Ben is @SparksMaths on twitter and at http://www.bensparks.co.uk on the web
From playlist MegaFavNumbers
In this video we introduce Fermat's little theorem and give a proof using congruences. The content of this video corresponds to Section 7.2 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
[BOURBAKI 2017] 17/06/2017 - 2/4 - Lillian PIERCE
The Vinogradov Mean Value Theorem [after Bourgain, Demeter and Guth, and Wooley] ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/InHe
From playlist BOURBAKI - 2017
Converse Pythagorean Theorem & Pythagorean Triples
I explain the Converse Pythagorean Theorem and what Pythagorean Triples are. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage www.YouTube.com/Profro
From playlist Geometry
From playlist Contributed talks One World Symposium 2020
Damir Yeliussizov: "Bounds and inequalities for the Littlewood-Richardson coefficients"
Asymptotic Algebraic Combinatorics 2020 "Bounds and inequalities for the Littlewood-Richardson coefficients" Damir Yeliussizov - Kazakh-British Technical University Abstract: I will talk about various bounds, inequalities, and asymptotic estimates for the Littlewood-Richardson (LR) coeff
From playlist Asymptotic Algebraic Combinatorics 2020
Andreas Thom: Asymptotics of Cheeger constants and unitarisability of groups
Talk by Andreas Thom in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on January 26, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
How often does a polynomial take squarefree values? by Manjul Bhargava
ICTS at Ten ORGANIZERS: Rajesh Gopakumar and Spenta R. Wadia DATE: 04 January 2018 to 06 January 2018 VENUE: International Centre for Theoretical Sciences, Bengaluru This is the tenth year of ICTS-TIFR since it came into existence on 2nd August 2007. ICTS has now grown to have more tha
From playlist ICTS at Ten
Kolmogorov, Onsager and a stochastic model for turbulence - Susan Friedlander
Analysis Seminar Topic: Kolmogorov, Onsager and a stochastic model for turbulence Speaker: Susan Friedlander Affiliation: University of Southern California; Member, School of Mathematics Date: October 26, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
A New Approach to the Inverse Littlewood-Offord Problem - Hoi H. Nguyen
Hoi H. Nguyen Rutgers, The State University of New Jersey February 1, 2010 Let η1, . . . , ηn be iid Bernoulli random variables, taking values 1, −1 with probability 1/2. Given a multiset V of n integers v1, . . . , vn, we define the concentration probability as ρ(V ) := supx P(v1η1 + · ·
From playlist Mathematics
The problem with `functions' | Arithmetic and Geometry Math Foundations 42a
[First of two parts] Here we address a core logical problem with modern mathematics--the usual definition of a `function' does not contain precise enough bounds on the nature of the rules or procedures (or computer programs) allowed. Here we discuss the difficulty in the context of funct
From playlist Math Foundations