In mathematics, especially ring theory, the class of Frobenius rings and their generalizations are the extension of work done on Frobenius algebras. Perhaps the most important generalization is that of quasi-Frobenius rings (QF rings), which are in turn generalized by right pseudo-Frobenius rings (PF rings) and right finitely pseudo-Frobenius rings (FPF rings). Other diverse generalizations of quasi-Frobenius rings include QF-1, QF-2 and QF-3 rings. These types of rings can be viewed as descendants of algebras examined by Georg Frobenius. A partial list of pioneers in quasi-Frobenius rings includes R. Brauer, K. Morita, T. Nakayama, C. J. Nesbitt, and R. M. Thrall. (Wikipedia).
Saturn: Best Rings in the Solar System
I think that nine out of ten people, if you ask them to picture a planet in their minds, will picture Saturn. Why? It's those rings! They are irresistible. Rings are to planets as peanut butter is to chocolate. The perfect complement. But there is much more to Saturn than just its rings. T
From playlist Astronomy/Astrophysics
Richard Wagner - The ride of the Valkyries from "Die Walküre"
Richard Wagner The ride of the Valkyries, from Die Walküre Richard Wagner is considered the master of German opera, and one of the most progressive composers in history. The philosophical issues that Wagner considered vital to society were the tension between good and evil, between th
From playlist Brilliant Music
The dark side of the Mandelbrot set
Join the Mathologer and his guest Darth Vader as they explore the Dark Side of the Mandelbrot set. Featuring an introduction to how the Mandelbrot set and the halo surrounding it is conjured up, an ingenious way to visualise what's really going on inside the Mandelbrot set, as well as an a
From playlist Recent videos
This Mandelbulb fractal is real!
A fractal just grew from my desk! Testing my Shadertoy plugin for After Effects ^_^
From playlist Shorts
"Finger Ring Jitterbug" was invented by Caspar SCHWABE. The "jitterbug" transformation was discovered by Buckminster Fuller in 1948.
From playlist 3D printed toys
AWESOME SUPERCONDUCTOR LEVITATION!!!
A quantum levitator it's a circular track of magnets above which a razor-thin disc magically levitates, seeming to defy the laws of physics. The key to the levitator is the disc, which is made of superconducting material sandwiched between layers of gold and sapphire crystal. A piece of fo
From playlist THERMODYNAMICS
Jacob Lurie: A Riemann-Hilbert Correspondence in p-adic Geometry Part 2
At the start of the 20th century, David Hilbert asked which representations can arise by studying the monodromy of Fuchsian equations. This question was the starting point for a beautiful circle of ideas relating the topology of a complex algebraic variety X to the study of algebraic diffe
From playlist Felix Klein Lectures 2022
Moduli spaces of local G-shtukas – Eva Viehmann – ICM2018
Lie Theory and Generalizations Invited Lecture 7.6 Moduli spaces of local G-shtukas Eva Viehmann Abstract: We give an overview of the theory of local G-shtukas and their moduli spaces that were introduced in joint work of U. Hartl and the author, and in the past years studied by many peo
From playlist Lie Theory and Generalizations
Drinfeld's lemma for schemes - Kiran Kedlaya
Joint IAS/Princeton University Algebraic Geometry Seminar Topic: Drinfeld's lemma for schemes Speaker: Kiran Kedlaya Affiliation: University of California, San Diego; Visiting Professor, School of Mathematics Date: February 4, 2019 For more video please visit http://video.ias.edu
From playlist Joint IAS/PU Algebraic Geometry
Algebraic proofs of degenerations of Hodge-de Rham complexes - Andrei Căldăraru
Reading group on Degeneration of Hodge-de Rham spectral sequences Topic: Algebraic proofs of degenerations of Hodge-de Rham complexes Speaker: Andrei Căldăraru Affiliation: University of Wisconsin, Madison Date: April 12, 2017 For more info, please visit http://video.ias.edu
From playlist Mathematics
Bhargav Bhatt - The absolute prismatic site
Correction: The affiliation of Lei Fu is Tsinghua University. The absolute prismatic site of a p-adic formal scheme carries and organizes interesting arithmetic and geometric information attached to the formal scheme. In this talk, after recalling the definition of this site, I will discu
From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021
Moduli of p-divisible groups (Lecture 4) by Ehud De Shalit
PROGRAM PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France
From playlist Perfectoid Spaces 2019
(Practice) Deligne-Illusie Classes as Arithmetic Kodaira-Spencer Classes - pt 2 - CM vs Lifts of Fr
This is the part where I check that being quasi-canonical (having a lift of a power of the Frobenius) and having smCM are the same thing.
From playlist Seminar Talks
Multivariate (φ,Γ)-modules by Gergely Zábrádi
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)
M58 - The Ring Bearer Galaxy - Deep Sky Videos
Featuring Becky Smethurst. Who is quite a Lord of the Rings fan. Objectivity: http://bit.ly/Objectivity More links and info in full description ↓↓↓ Patreon: https://www.patreon.com/deepskyvideos More Messier Objects: http://bit.ly/MessierObjects Dr Smethurst is the Sixty Symbols Ogden Fe
From playlist Messier Objects
Perfect complexes, Lefschetz trace formula with torsion coefficients, intro to the main lemma
From playlist Étale cohomology and the Weil conjectures
Animation of Jupiter’s Ring from the Inside Out
As NASA’s Juno spacecraft flew through the narrow gap between Jupiter’s radiation belts and the planet during its first science flyby, Perijove 1, on August 27, 2016, the Stellar Reference Unit (SRU-1) star camera collected the first image of Jupiter’s ring taken from the inside looking ou
From playlist Juno