Theorems in algebra | Field (mathematics)
In algebra, Nagata's conjecture states that Nagata's automorphism of the polynomial ring k[x,y,z] is . The conjecture was proposed by Nagata and proved by Ualbai U. Umirbaev and Ivan P. Shestakov. Nagata's automorphism is given by where . For the inverse, let Then and .With this and . (Wikipedia).
An Analogue of the Ichino-Ikeda Conjecture for... coefficients of the Metaplectic Group - Erez Lapid
Erez Lapid Hebrew University of Jerusalem and Weizmann Institute of Science March 14, 2013 A few years ago Ichino-Ikeda formulated a quantitative version of the Gross-Prasad conjecture, modeled after the classical work of Waldspurger. This is a powerful local-to-global principle which is
From playlist Mathematics
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
The Generalized Ramanujan Conjectures and Applications - Lecture 1 by Peter Sarnak
Lecture 1: The Generalized Ramanujan Conjectures Abstract: One of the central problems in the modern theory of automorphic forms is the Generalized Ramanujan Conjecture.We review the development and formulation of these conjectures as well as recent progress. While the general Conjecture
From playlist Generalized Ramanujan Conjectures Applications by Peter Sarnak
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
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Geometry
What is the Lang-Bombieri-Noguchi Conjecture?
Here we introduce the conjecture of Lang, Bombieri and Noguchi about the density rational points on varieties of general type.
From playlist One-off Explanations
A New Proof of Bhramagupta’s Formula
For years John Conway searched for an elegant, symmetric, and geometric proof of Brahmagupta’s formula. Here it is, presented by a team of students from Proof School!
From playlist Summer of Math Exposition Youtube Videos
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
Ramsey theory is based on Ramsey's theorem, because without it, there would be no Ramsey numbers, since they are not well-defined. This is part 2 of the trilogy of the Ramsey numbers. Useful link: https://en.wikipedia.org/wiki/Ramsey%27s_theorem#2-colour_case Other than commenting on the
From playlist Ramsey trilogy
On a quadratic plane by S. M. Bhatwadekar
Algebraic Surfaces and Related Topics PROGRAM URL : http://www.icts.res.in/program/AS2015 DESCRIPTION : This is a joint program of ICTS with TIFR, Mumbai and KIAS, Seoul. The theory of surfaces has been the cradle to many powerful ideas in Algebraic Geometry. The problems in this area
From playlist Algebraic Surfaces and Related Topics
Frobenius exact symmetric tensor categories - Pavel Etingof
Geometric and Modular Representation Theory Seminar Topic: Frobenius exact symmetric tensor categories Speaker: Pavel Etingof Affiliation: Massachusetts Institute of Technology Date: May 12, 2021 For more video please visit https://www.ias.edu/video
From playlist Seminar on Geometric and Modular Representation Theory
Commutative algebra 4 (Invariant theory)
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. This lecture is an informal historical summary of a few results of classical invariant theory, mainly to show just how complic
From playlist Commutative algebra
Luca Motto Ros: Towards the « right » generalization of descriptive set theory to...
Recording during the meeting "15th International Luminy Workshop in Set Theory" the September 26, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's A
From playlist Logic and Foundations
Adam Savage's One Day Builds: Mercury Spacesuit Wrist Rings, Part 2
Adam is back to finish his replica wrist connectors for his new Mercury spacesuit costume! After the arduous process of machining the glove rings in the first part, Adam gets to the fun of weathering the aluminum to look like real vintage NASA hardware. And for that, he brings out a new pi
From playlist Adam Savage's One Day Builds
Larry Guth (MIT) - Introduction to decoupling [Clay Research Conference 2017]
Notes for this talk: https://drive.google.com/file/d/10bItLSjqL5dxYzuWxPifK5ossK7fjk5r/view?usp=sharing Larry Guth (MIT) Introduction to decoupling Wednesday, September 27 – Clay Research Conference Larry Guth is Professor of Mathematics at MIT. He obtained his PhD from MIT in 2005 u
From playlist Number Theory
Yuval Peres: Self-interacting walks and uniform spanning forests
Abstract: In the first half of the talk, I will survey results and open problems on transience of self-interacting martingales. In particular, I will describe joint works with S. Popov, P. Sousi, R. Eldan and F. Nazarov on the tradeoff between the ambient dimension and the number of differ
From playlist Probability and Statistics
Adam Savage Cosplays the Outbreak Hazmat Suit!
Adam is giddy with joy to try on this fantastic replica of the hazmat suit from Outbreak, made by suit fabricator Ryan Nagata! It's also appropriate as it's one of the first videos we're filming with a crew in the cave, and Ryan has designed the suit to actually provide some level of air c
From playlist Adam Savage's Misc Costumes
Inside Adam Savage's Cave: New Spacesuit Hardware!
Adam gets more space stuff in the cave! With the 50th anniversary of the moon landing later this month, Adam shares a few new props made by fellow space enthusiast Ryan Nagata. First is a unique camera+propulsion system made for Gemini, followed by an Apollo-era bubble helmet of unsurpasse
From playlist Celebrating Alien
Purity for flat cohomology by Kestutis Cesnavicius
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) Eknath
From playlist Perfectoid Spaces 2019
Why science is NOT 'Just a Theory'
Have you ever heard ‘evolution’ dismissed as ‘just a theory’? Is a scientific theory no different to the theory that Elvis is still alive? Jim Al-Khalili puts the record straight. Subscribe for regular science videos: http://bit.ly/RiSubscRibe There’s an important difference between a sci
From playlist Ri Animations