This talk is the first of two talks that give a proof of the Riemann Roch theorem, in the spacial case of nonsingular complex plane curves. We divide the Riemann-Roch theorem into 3 pieces: Riemann's theorem, a topological theorem identifying the three definitions of the genus, and Roch'
From playlist Algebraic geometry: extra topics
Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem
In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Weil conjectures 1 Introduction
This talk is the first of a series of talks on the Weil conejctures. We recall properties of the Riemann zeta function, and describe how Artin used these to motivate the definition of the zeta function of a curve over a finite field. We then describe Weil's generalization of this to varie
From playlist Algebraic geometry: extra topics
PotW: Prove Pasch’s Postulate as a Theorem [Geometry]
If this video is confusing be sure to check out our blog for the full solution transcript! https://centerofmathematics.blogspot.com/2018/11/problem-of-week-11-08-18-prove-paschs.html
From playlist Center of Math: Problems of the Week
Theory of numbers: Congruences: Euler's theorem
This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim
From playlist Theory of numbers
Peter SCHOLZE (oct 2011) - 1/6 Perfectoid Spaces and the Weight-Monodromy Conjecture
We will introduce the notion of perfectoid spaces. The theory can be seen as a kind of rigid geometry of infinite type, and the most important feature is that the theories over (deeply ramified extensions of) Q_p and over F_p((t)) are equivalent, generalizing to the relative situation a th
From playlist Peter SCHOLZE (oct 2011) - Perfectoid Spaces and the Weight-Monodromy Conjecture
How do you Escape from an Exploding rocket? - Launch Escape Systems
Get Readly with 1 month FREE here: https://gb.readly.com/2020-curiousdroid Ever wondered what might happen if a rocket developed a problem on the launchpad or the launch and how the crew might escape. Well that something which has been used ever since the very first manned mission and con
From playlist Rockets and Space Craft
NASA's Mega Hubble - The Roman Space Telescope
https://brilliant.org/CuriousDroid What do you do when the NRO (National Reconnaissance Office) makes you an offer you can't refuse?. Well in the case of NASA you update an existing design to create a Hubble on steroids that can cover the same amount of sky as one hundred Hubble's, drastic
From playlist Rockets and Space Craft
F-4 Phantom, The Ultimate Cold War Warrior
This video is sponsored by Blinkist, the first 100 people to go to https://www.blinkist.com/curiousdroid will get FREE unlimited access for 1 week to try it out. You will also get 25% off the full membership price. The Macdonell Douglas F-4 was the more widely produced and internationally
From playlist Planes, Trains and Automobiles
algebraic geometry 3 Bezout, Pappus, Pascal
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives more examples and applications of algebraic geometry, including Bezout's theorem, Pauppus's theorem, and Pascal's theorem.
From playlist Algebraic geometry I: Varieties
What happened to the British aircraft industry?
Considering the UK was at the forefront of aviation, the fall and rise of the British aircraft and defence industry is one of the lesser-known subjects even to us Britians who often see the fall of manufacturing as just one way, though the British government has sometimes made things much
From playlist Planes, Trains and Automobiles
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
Paolo Piazza: Surgery sequences and higher invariants of Dirac operators
Talk by Paolo Piazza in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on March 10, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
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 Real Guide to Imaginary Companions - Episode 2
Ask a child with an imaginary companion if their pretend friend is real, and often they'll tell you, "I just made them up!" Of course, moments later they'll regale you with stories of the latest adventures with their companion with the utmost conviction. In the second episode of The Real G
From playlist The Real Guide to Imaginary Companions
Nuking the moon - The Secret USAF Project A119
To get 70% off with the NordVPN 3-year deal plus 1 month free and as part of NordVPN's 8th birthday celebrations, customers will get extra free gifts from NordVPN. Use with the coupon code "curiousdroid" deal here: https://nordvpn.com/curiousdroid Coupon code: curiousdroid What if the mo
From playlist Space
Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem
In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)