In number theory, a Frobenius pseudoprime is a pseudoprime, whose definition was inspired by the quadratic Frobenius test described by Jon Grantham in a 1998 preprint and published in 2000. Frobenius pseudoprimes can be defined with respect to polynomials of degree at least 2, but they have been most extensively studied in the case of quadratic polynomials. (Wikipedia).
C73 Introducing the theorem of Frobenius
The theorem of Frobenius allows us to calculate a solution around a regular singular point.
From playlist Differential Equations
The Frobenius conjecture in dimension two - Tony Yue Yu
Topic: The Frobenius conjecture in dimension two Speaker: Tony Yue Yu Affiliation: IAS Date: March 16, 2017 For more video, visit http://video.ias.edu
From playlist Mathematics
Geometry of Frobenioids - part 3 - What is a Frobenioid?
We will talk about the construction of Frobenioids in Mochizuki's Geometry of Frobenioids 1. Some nice links: https://plus.google.com/+lievenlebruyn/posts/Y1XVCDLWRP5https://plus.google.com/+lievenlebruyn/posts/Y1XVCDLWRP5 http://mathoverflow.net/questions/195353/what-is-a-frobenioid
From playlist Geometry of Frobenioids
Here we give a definition of the relative Frobenius. We also give a good notation that helps you forget about the annoying tensor product that nobody can remember.
From playlist Cartier Operator
The Frobenius Problem - Method for Finding the Frobenius Number of Two Numbers
Goes over how to find the Frobenius Number of two Numbers.
From playlist ℕumber Theory
Fermat’s HUGE little theorem, pseudoprimes and Futurama
A LOT of people have heard about Andrew Wiles solving Fermat's last theorem after people trying in vain for over 350 years. Today's video is about Fermat's LITTLE theorem which is at least as pretty as its much more famous bigger brother, which has a super pretty accessible proof and which
From playlist Recent videos
Differential Equations | Frobenius' Method part 2
From Garden of the Gods in Colorado Springs, we present a Theorem regarding Frobenius Series solutions to a certain family of second order homogeneous differential equations. An example is also explored. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Series Solutions for Differential Equations
"Fortunately, Unfortunately": How to Tell Whether a Number Is Prime #MegaFavNumbers
How can we tell whether or not a large integer is prime? Well, there's some bad news and some good news (and more bad news, and more good news, and...) My contribution to #MegaFavNumbers (and my first go at YouTube, so, you know, go easy on me). Matt Parker's video, which got me thinking
From playlist MegaFavNumbers
The Frobenius Problem - Problem Statement
Describes the Frobenius Problem and goes over some trivial cases
From playlist ℕumber Theory
Group theory 20: Frobenius groups
This lecture is part of an online mathematics course on group theory. It gives several examples of Frobenius groups (permutation groups where any element fixing two points is the identity).
From playlist Group theory
How Shor's Algorithm Factors 314191
Go to http://www.dashlane.com/minutephysics to download Dashlane for free, and use offer code minutephysics for 10% off Dashlane Premium! Watch the main video: https://www.youtube.com/watch?v=lvTqbM5Dq4Q Support MinutePhysics on Patreon! http://www.patreon.com/minutephysics This video ex
From playlist MinutePhysics
How they found the World's Biggest Prime Number - Numberphile
Featuring Matt Parker... More links & stuff in full description below ↓↓↓ See part one at: https://youtu.be/tlpYjrbujG0 Part three on Numberphile2: https://youtu.be/jNXAMBvYe-Y Matt's interview with Curtis Cooper: https://youtu.be/q5ozBnrd5Zc The previous record: https://youtu.be/QSEKzFG
From playlist Matt Parker (standupmaths) on Numberphile
Lecture 17: Frobenius lifts and group rings
In this video, we "compute" TC of spherical group rings and more generally cyclotomic spectra with Frobenius lifts. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://
From playlist Topological Cyclic Homology
B. Bhatt - Prisms and deformations of de Rham cohomology
Prisms are generalizations of perfectoid rings to a setting where "Frobenius need not be an isomorphism". I will explain the definition and use it to construct a prismatic site for any scheme. The resulting prismatic cohomology often gives a one-parameter deformation of de Rham cohomology.
From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday
Noémie Combe - How many Frobenius manifolds are there?
In this talk an overview of my recent results is presented. In a joint work with Yu. Manin (2020) we discovered that an object central to information geometry: statistical manifolds (related to exponential families) have an F-manifold structure. This algebraic structure is a more general v
From playlist Research Spotlight
Galois theory: Frobenius automorphism
This lecture is part of an online graduate course on Galois theory. We show that the Frobenius automorphism of a finite field an sometimes be lifted to characteristic 0. As an example we use the Frobenius automorphisms of Q[i] to prove that -1 i a square mod an odd prime p if and only if
From playlist Galois theory
David Zywina, Computing Sato-Tate and monodromy groups.
VaNTAGe seminar on May 5, 2020. License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
Representation theory: Frobenius groups
We recall the definition of a Frobenius group as a transitive permutation group such that any element fixing two points is the identity. Then we prove Frobenius's theorem that the identity together with the elements fixing no points is a normal subgroup. The proof uses induced representati
From playlist Representation theory