Conjectures that have been proved | Theorems in algebraic number theory
In algebraic number theory, the Gras conjecture relates the p-parts of the Galois eigenspaces of an ideal class group to the group of global units modulo cyclotomic units. It was proved by as a corollary of their work on the main conjecture of Iwasawa theory. later gave a simpler proof using Euler systems. (Wikipedia).
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
Physics - Optics: Diffraction Grating (4 of 7) Orders of the Diffraction Grating
Visit http://ilectureonline.com for more math and science lectures! In this video I will discuss the orders of the diffraction grating and find its “look-up” angle. Next video in series: http://youtu.be/29NvhEK0g0s
From playlist PHYSICS 61 DIFFRACTION OF LIGHT
Universal Law of Gravitation - Part 2 | Physics | Don't Memorise
This video explains the concept of the Universal Law of Gravitation. ✅To learn more about Gravitation, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=lbOXZ2tcTgc&utm_term=%7Bkeyword%7D In this video,
From playlist Physics
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
The Universal Law of Gravitation - Part 1 | Physics | Don't Memorise
This video explains the concept of the Universal Law of Gravitation. To learn more about Gravitation, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=c9shwPMpSq8&utm_term=%7Bkeyword%7D To watch the se
From playlist Physics
What is gravitation? Why are objects seemingly attracted to each other? What other consequences are brought about by Einstein's theory? All these answers in 14 minutes! For more videos, subscribe to the YouTube channel : https://www.youtube.com/ScienceClicEN And if you liked this video,
From playlist Astrophysics and Cosmos
From graph limits to higher order Fourier analysis – Balázs Szegedy – ICM2018
Combinatorics Invited Lecture 13.8 From graph limits to higher order Fourier analysis Balázs Szegedy Abstract: The so-called graph limit theory is an emerging diverse subject at the meeting point of many different areas of mathematics. It enables us to view finite graphs as approximation
From playlist Combinatorics
Timothy Gowers on the works of John Milnor
Sir William Timothy Gowers is a British mathematician and a Royal Society Research Professor at the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. This video is a clip from the Abel Prize Announcement 2011.
From playlist Popular presentations
Mardi Gras Adventures | The Coolest Stuff on the Planet
It's the 100th episode of Coolest Stuff, and Rachel and Matt have decided to commemorate the occasion with an episode on the greatest free party on Earth: Mardi Gras. Tune in and learn more in this podcast.
From playlist The Coolest Stuff on the Planet
The Soul of Music: Exploring Chief Xian’s Ancestral Memory | Overheard at National Geographic
Nat Geo Explorer and archaeologist Justin Dunnavant sits down with Grammy-nominated trumpeter Chief Xian aTunde Adjuah to discuss ancestral memory, creating new instruments, and stretch music—an expansion of jazz. Guests: Chief Xian aTunde Adjuah and Justin Dunnavant Host: Khari Douglas P
From playlist Podcast | Overheard at National Geographic
Gravitation (1 of 17) Newton's Law of Universal Gravitation, An Explanation with Examples
This video goes over an explanation of Newton's Universal Law of Gravitation. Also included are two examples of how to calculate the force of attraction between two objects that have mass. This is know as an inverse square law. The force of attraction between two objects is directly propor
From playlist Gravitation: Orbital Velocity, Orbital Period, Potential Energy, Kinetic Energy, Mass and Weight
Thomas Willwacher - Recent progress and open problems in graph cohomology
Thomas WILLWACHER (ETH Zürich, Switzerland)
From playlist Algèbre, Géométrie et Physique : une conférence en l'honneur
Yiannis Sakellaridis - 1/2 Local and Global Questions “Beyond Endoscopy”
The near-completion of the program of endoscopy poses the question of what lies next. These talks will take a broad view of ideas beyond the program of endoscopy, highlighting the connections among them, and emphasizing the relationship between local and global aspects. Central among thos
From playlist 2022 Summer School on the Langlands program
Driving Downtown - New Orleans' Bourbon Street 4K - USA
Driving Downtown Streets - Bourbon Street - New Orleans Louisiana USA - Episode 39. Starting Point: Bourbon Street - https://goo.gl/maps/yo1htiaG5sP2 . Route: https://goo.gl/maps/gYHFUXMK3VB2 . Bourbon Street (French: Rue Bourbon) is a street in the heart of New Orleans' oldest neighbo
From playlist Location by Country - United States of America - J Utah
Hiraku Nakajima - Ring objects in the derived Satake category from Coulomb branches
Abstract: In my joint work with Braverman and Finkelberg, we proposed a mathematical definition of Coulomb branches of SUSY gauge theories as Borel-Moore homology of certain varieties which have maps to affine Grassmannians. This construction gives ring objects in derived Satake categorie
From playlist Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
In this video, I state and prove Grönwall’s inequality, which is used for example to show that (under certain assumptions), ODEs have a unique solution. Basically it says that if a function satisfies a differential equation, but with an inequality, then it must grow sub-exponentially.
From playlist Real Analysis
Terence Tao (UCLA): Pseudorandomness of the Liouville function
The Liouville pseudorandomness principle (a close cousin of the Mobius pseudorandomness principle) asserts that the Liouville function λ(n), which is the completely multiplicative function that equals −1 at every prime, should be "pseudorandom" in the sense that it behaves statistically li
From playlist TP Harmonic Analysis and Analytic Number Theory: Opening Day
A concise visual explanation to better understand Einstein's vision of gravitation. For more videos, subscribe to the YouTube channel : https://www.youtube.com/ScienceClicEN And if you liked this video, you can share it on social networks ! To support me on Patreon : http://www.patreon.c
From playlist Astrophysics and Cosmos
Heavy D's 6x6 With Tracks for SEMA | Diesel Brothers
Heavy D puts the petal to the metal on his next SEMA build: a 6x6 with a custom full-track assembly that can handle any terrain in style. Stream Full Episodes of Diesel Brothers: https://go.discovery.com/tv-shows/diesel-brothers/ Subscribe to Discovery: http://bit.ly/SubscribeDiscovery
From playlist Diesel Brothers