Conjectures that have been proved | Theorems in algebraic number theory

Gras conjecture

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).

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

What is General Relativity?

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Gronwall inequality

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

Video thumbnail

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

Video thumbnail

Einstein's Gravity

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

Video thumbnail

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

Related pages

Cyclotomic unit | Algebraic number theory | Euler system | Main conjecture of Iwasawa theory | Ideal class group