Freydoon Shahidi: On equality of arithmetic and analytic exterior square root numbers
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 Number Theory
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
Laurent Polynumbers and Leibniz's Formula for pi/4 | Algebraic Calculus One | Wild Egg
We can use the Fundamental Theorem of the Algebraic Calculus to give a new and simplified derivation of Leibniz's famous alternating series for "pi/4". To set this up, we take an applied point of view, going beyond the polynumber framework established so far, to more general quotient polyn
From playlist Old Algebraic Calculus Videos
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
Yuri Tschinkel, Height zeta functions
VaNTAGe seminar May 11, 2021 License: CC-BY-NC-SA
From playlist Manin conjectures and rational points
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
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
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)
Proof of Lemma and Lagrange's Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div
From playlist Abstract Algebra
Jacob Lurie: 1/5 Tamagawa numbers in the function field case [2019]
Slides for this talk: http://swc-alpha.math.arizona.edu/video/2019/2019LurieLecture1Slides.pdf Lecture notes: http://swc.math.arizona.edu/aws/2019/2019LurieNotes.pdf Let G be a semisimple algebraic group defined over the field Q of rational numbers and let G(Q) denote the group of ration
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
Xu Zhendong - From the Littlewood-Paley-Stein Inequality to the Burkholder-Gundy Inequality
We solve a question asked by Xu about the order of optimal constants in the Littlewood-Paley-Stein inequality. This relies on a construction of a special diffusion semi-group associated with a martingale which relates the Littlewood G-function with the martingale square function pointwise.
From playlist Annual meeting “Arbre de Noël du GDR Géométrie non-commutative”
[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
Gérard Kerkyacharian: Wavelet: from statistic to geometry
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 30 years of wavelets
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
Introduction to number theory lecture 47. The prime number theorem
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We give an overview of the prime number theorem, stating that the number of primes less tha
From playlist Introduction to number theory (Berkeley Math 115)
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
Jonathan Hickman: The helical maximal function
The circular maximal function is a singular variant of the familiar Hardy--Littlewood maximal function. Rather than take maximal averages over concentric balls, we take maximal averages over concentric circles in the plane. The study of this operator is closely related to certain GMT packi
From playlist Seminar Series "Harmonic Analysis from the Edge"
Fermat's Little Theorem ← Number Theory
Fermat's Little Theorem was observed by Fermat and proven by Euler, who generalized the theorem significantly. This theorem aids in dividing extremely large numbers and can aid in testing numbers to see if they are prime. For more advanced students, this theorem can be easily proven usin
From playlist Number Theory