Automorphic Density Theorems - Valentin Blomer
Special Year Learning Seminar [REC DO NOT POST PUBLICLY] 10:30am|Simonyi 101 and Remote Access Topic: Automorphic Density Theorems Speaker: Valentin Blomer Affiliation: Universität Bonn Date: February 22, 2023 A density theorem for L-functions is quantitative measure of the possible fail
From playlist Mathematics
Monotonicity of the Riemann zeta function and related functions - P Zvengrowski [2012]
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences May 17, 2012 14:00, St. Petersburg, POMI, room 311 (27 Fontanka) Monotonicity of the Riemann zeta function and related functions P. Zvengrowski University o
From playlist Number Theory
Differential Equations | Application of Abel's Theorem Example 2
We give an example of applying Abel's Theorem to construct a second solution to a differential equation given one solution. www.michael-penn.net
From playlist Differential Equations
Robert Seiringer: The local density approximation in density functional theory
We present a mathematically rigorous justification of the Local Density Approximation in density functional theory. We provide a quantitative estimate on the difference between the grand-canonical Levy-Lieb energy of a given density (the lowest possible energy of all quantum st
From playlist Mathematical Physics
Chp9Pr41: Probability Density Functions
A continuous random variable can be described using a function called the probability density function. This video shows us how to prove that a function is a probability density function. This is Chapter 9 Problem 41 from the MATH1231/1241 algebra notes. Presented by Dr Diana Combe from th
From playlist Mathematics 1B (Algebra)
Giles Gardam - Kaplansky's conjectures
Kaplansky made various related conjectures about group rings, especially for torsion-free groups. For example, the zero divisors conjecture predicts that if K is a field and G is a torsion-free group, then the group ring K[G] has no zero divisors. I will survey what is known about the conj
From playlist Talks of Mathematics Münster's reseachers
A survey of quandle theory by Mohamed Elhamdadi
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onli
From playlist Knots Through Web (Online)
Sanaz Pooya: Higher Kazhdan projections, L²-Betti numbers, and the Coarse Baum-Connes conjecture
Talk by Sanaz Pooya in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on April 21, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Giles Gardam: Kaplansky's conjectures
Talk by Giles Gardam in the Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/3580/ on September 17, 2021.
From playlist Global Noncommutative Geometry Seminar (Americas)
Weil conjectures 1 Introduction
This talk is the first of a series of talks on the Weil conejctures. We recall properties of the Riemann zeta function, and describe how Artin used these to motivate the definition of the zeta function of a curve over a finite field. We then describe Weil's generalization of this to varie
From playlist Algebraic geometry: extra topics
Benjamin Steinberg: Cartan pairs of algebras
Talk by Benjamin Steinberg in Global Noncommutative Geometry Seminar (Americas), https://globalncgseminar.org/talks/tba-15/ on Oct. 8, 2021
From playlist Global Noncommutative Geometry Seminar (Americas)
Stability, Non-approximate Groups and High Dimensional Expanders by Alex Lubotzky
Webpage for this talk: https://sites.google.com/view/distinguishedlectureseries/alex-lubotzky A live interactive session with the speaker will be hosted online on January 27, 2021, at 18:00 Indian Standard Time. Viewers can send in their questions for the speaker in advance of the live in
From playlist ICTS Colloquia
Johnathan Hanke - Computer-Assisted Proofs in the Arithmetic of Quadratic Forms - IPAM at UCLA
Recorded 17 February 2023. Johnathan Hanke of Princeton University presents "Computer-Assisted Proofs in the Arithmetic of Quadratic Forms" at IPAM's Machine Assisted Proofs Workshop. Abstract: Since its early history, the ideas and results in arithmetic of quadratic forms have been inspir
From playlist 2023 Machine Assisted Proofs Workshop
(PP 6.4) Density for a multivariate Gaussian - definition and intuition
The density of a (multivariate) non-degenerate Gaussian. Suggestions for how to remember the formula. Mathematical intuition for how to think about the formula.
From playlist Probability Theory
Pere Ara: Crossed products and the Atiyah problem
Talk by Pere Are in Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/crossed-products-and-the-atiyah-problem/ on March 19, 2021.
From playlist Global Noncommutative Geometry Seminar (Americas)
Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem
In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Giles Gardam: Solving semidecidable problems in group theory
Giles Gardam, University of Münster Abstract: Group theory is littered with undecidable problems. A classic example is the word problem: there are groups for which there exists no algorithm that can decide if a product of generators represents the trivial element or not. Many problems (th
From playlist SMRI Algebra and Geometry Online
Topics in Combinatorics lecture 13.8 --- The slice rank of a diagonal 3-tensor
A result that has played a central role in additive combinatorics is the statement that for every positive c there exists n such that every subset of F_3^n of density at least c contains three distinct vectors x, y and z such that x + y + z = 0. For a long time, a major open problem was to
From playlist Topics in Combinatorics (Cambridge Part III course)
Peter Stevenhagen: The Chebotarev density theorem
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 Jean-Morlet Chair - Shparlinski/Kohel
Commutative algebra 42 Projective modules
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We discuss the relation between locally free things (vector bundles) and projective things. In commutative algebra and differe
From playlist Commutative algebra