Finding and Solving the Hadamard Population Conjecture
We describe our process for finding and solving the Hadamard Population conjecture. This conjecture is for all v, for all w, fht(v) dot-product fht(w) = n * population(v intersect w), where v and w are binary vectors and n is the length of all vectors. This is a submission to the #SoME2 co
From playlist Summer of Math Exposition 2 videos
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
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
Sir Michael Atiyah | The Riemann Hypothesis | 2018
Slides for this talk: https://drive.google.com/file/d/1DNHG9TDXiVslO-oqDud9f-9JzaFCrHxl/view?usp=sharing Sir Michael Francis Atiyah: "The Riemann Hypothesis" Monday September 24, 2018 9:45 Abstract: The Riemann Hypothesis is a famous unsolved problem dating from 1859. I will present a
From playlist Number Theory
On the BSD conjecture for certain families of abelian varieties with ration...- Emmanuel Lecouturier
Joint IAS/Princeton University Number Theory Seminar Topic: On the BSD conjecture for certain families of abelian varieties with rational torsion. Speaker: Emmanuel Lecouturier Affiliation: Member, School of Mathematics Date: March 24, 2022 Let N and p greater than or equal to 5 be prime
From playlist Mathematics
Peter Scholze - 5/6 On the local Langlands conjectures for reductive groups over p-adic fields
Hadamard Lectures 2017 Abstract: Consider a reductive group G over a p-adic field F. The local Langlands conjecture relates the irreducible smooth representations of G(F) with the set of (local) L-parameters, which are maps from the Weil group of F to the L-group of G; refinements of the
From playlist Hadamard Lectures 2017 - Peter Scholze - On the local Langlands conjectures for reductive groups over p-adic fields
Peter Scholze - 6/6 On the local Langlands conjectures for reductive groups over p-adic fields
Hadamard Lectures 2017 Abstract: Consider a reductive group G over a p-adic field F. The local Langlands conjecture relates the irreducible smooth representations of G(F) with the set of (local) L-parameters, which are maps from the Weil group of F to the L-group of G; refinements of the
From playlist Hadamard Lectures 2017 - Peter Scholze - On the local Langlands conjectures for reductive groups over p-adic fields
Peter Scholze - 4/6 On the local Langlands conjectures for reductive groups over p-adic fields
Hadamard Lectures 2017 Abstract: Consider a reductive group G over a p-adic field F. The local Langlands conjecture relates the irreducible smooth representations of G(F) with the set of (local) L-parameters, which are maps from the Weil group of F to the L-group of G; refinements of the
From playlist Hadamard Lectures 2017 - Peter Scholze - On the local Langlands conjectures for reductive groups over p-adic fields
Peter Scholze - 3/6 On the local Langlands conjectures for reductive groups over p-adic fields
Hadamard Lectures 2017 Abstract: Consider a reductive group G over a p-adic field F. The local Langlands conjecture relates the irreducible smooth representations of G(F) with the set of (local) L-parameters, which are maps from the Weil group of F to the L-group of G; refinements of the
From playlist Hadamard Lectures 2017 - Peter Scholze - On the local Langlands conjectures for reductive groups over p-adic fields
Peter Scholze - 2/6 On the local Langlands conjectures for reductive groups over p-adic fields
Hadamard Lectures 2017 Abstract: Consider a reductive group G over a p-adic field F. The local Langlands conjecture relates the irreducible smooth representations of G(F) with the set of (local) L-parameters, which are maps from the Weil group of F to the L-group of G; refinements of the
From playlist Hadamard Lectures 2017 - Peter Scholze - On the local Langlands conjectures for reductive groups over p-adic fields
Peter Scholze - 1/6 On the local Langlands conjectures for reductive groups over p-adic fields
Hadamard Lectures 2017 Abstract: Consider a reductive group G over a p-adic field F. The local Langlands conjecture relates the irreducible smooth representations of G(F) with the set of (local) L-parameters, which are maps from the Weil group of F to the L-group of G; refinements of the
From playlist Hadamard Lectures 2017 - Peter Scholze - On the local Langlands conjectures for reductive groups over p-adic fields
“Gauss sums and the Weil Conjectures,” by Bin Zhao (Part 4 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
“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
The GM-MDS conjecture - Shachar Lovett
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From playlist Mathematics
On Zaremba's Conjecture on Continued Fractions - Jean Bourgain
Jean Bourgain Institute for Advanced Study February 14, 2012 Zaremba's 1971 conjecture predicts that every integer appears as the denominator of a finite continued fraction whose partial quotients are bounded by an absolute constant. We confirm this conjecture for a set of density one. Fo
From playlist Mathematics
Thomas Weighill - Coarse homotopy groups of warped cones
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Thomas Weighill, University of North Carolina at Greensboro Title: Coarse homotopy groups of warped cones Abstract: Various versions of coarse homotopy theory have been around since the beginning of coarse geometry, and s
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
A Tutorial on Gaussian Elimination - John C Urschel
Computer Science/Discrete Mathematics Seminar II Topic: A Tutorial on Gaussian Elimination Speaker: John C Urschel Affiliation: Member, School of Mathematics Date: April 19, 2022 Gaussian elimination is one of the oldest and most well-known algorithms for solving a linear system. In this
From playlist Mathematics
Number theory and algebra in Asia (a) | Math History | NJ Wildberger
After the later Alexandrian mathematicians Ptolemy and Diophantus, Greek mathematics went into decline and the focus shifted eastward. This lecture discusses some aspects of Chinese, Indian and Arab mathematics, in particular the interest in number theory: Pell's equation, the Chinese rema
From playlist MathHistory: A course in the History of Mathematics
Thomas Stoll: On generalised Rudin-Shapiro sequences
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 26, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference