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
What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
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)
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)
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)
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
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
Mertens Conjecture Disproof and the Riemann Hypothesis | MegaFavNumbers
#MegaFavNumbers The Mertens conjecture is a conjecture is a conjecture about the distribution of the prime numbers. It can be seen as a stronger version of the Riemann hypothesis. It says that the Mertens function is bounded by sqrt(n). The Riemann hypothesis on the other hand only require
From playlist MegaFavNumbers
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
Weil conjectures 4 Fermat hypersurfaces
This talk is part of a series on the Weil conjectures. We give a summary of Weil's paper where he introduced the Weil conjectures by calculating the zeta function of a Fermat hypersurface. We give an overview of how Weil expressed the number of points of a variety in terms of Gauss sums. T
From playlist Algebraic geometry: extra topics
A (compelling?) reason for the Riemann Hypothesis to be true #SOME2
A visual walkthrough of the Riemann Zeta function and a claim of a good reason for the truth of the Riemann Hypothesis. This is not a formal proof but I believe the line of argument could lead to a formal proof.
From playlist Summer of Math Exposition 2 videos
Ptolemy's theorem and generalizations | Rational Geometry Math Foundations 131 | NJ Wildberger
The other famous classical theorem about cyclic quadrilaterals is due to the great Greek astronomer and mathematician, Claudius Ptolemy. Adopting a rational point of view, we need to rethink this theorem to state it in a purely algebraic way, without resort to `distances' and the correspon
From playlist Math Foundations
Zero dimensional valuations on equicharacteristic (...) - B. Teissier - Workshop 2 - CEB T1 2018
Bernard Teissier (IMJ-PRG) / 06.03.2018 Zero dimensional valuations on equicharacteristic noetherian local domains. A study of those valuations based, in the case where the domain is complete, on the relations between the elements of a minimal system of generators of the value semigroup o
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Voevodsky proof of Milnor and Bloch-Kato conjectures - Alexander Merkurjev
Vladimir Voevodsky Memorial Conference Topic: Voevodsky proof of Milnor and Bloch-Kato conjectures Speaker: Alexander Merkurjev Affiliation: University of California, Los Angeles Date: September 12, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
“Gauss sums and the Weil Conjectures,” by Bin Zhao (Part 7 of 8)
“Gauss sums and the Weil Conjectures,” by Bin Zhao. The topics include will Gauss sums, Jacobi sums, and Weil’s original argument for diagonal hypersurfaces when he raised his conjectures. Further developments towards the Langlands program and the modularity theorem will be mentioned at th
From playlist CTNT 2016 - ``Gauss sums and the Weil Conjectures" by Bin Zhao
A Proof in the Drawer (with David Eisenbud) - Numberphile Podcast
David Eisenbud's entertaining stories about mathematics are a fascinating glimpse into how math works - how it really works. MSRI - where David is director - https://www.msri.org David Eisenbud's MSRI page with some links to publications and other material - https://www.msri.org/m/people
From playlist David Eisenbud on Numberphile
Advice for prospective research mathematicians | Rational Trigonometry and spread polynomials 1
Here is a quick introduction / review of the essentials of Rational Trigonometry, with an aim to explaining the important spread polynomials / polynumbers which are more pleasant variants of the Chebyshev polynomials of the first kind. Our treatment here is quite concise, relying on a pri
From playlist Maxel inverses and orthogonal polynomials (non-Members)