François Charles: Bertini theorems in arithmetic geometry
Abstract: The classical Bertini irreducibility theorem states that if X is an irreducible projective variety of dimension at least 2 over an infinite field, then X has an irreducible hyperplane section. The proof does not apply in arithmetic situations, where one wants to work over the int
From playlist Algebraic and Complex Geometry
The golden ratio | Lecture 3 | Fibonacci Numbers and the Golden Ratio
The classical definition of the golden ratio. Two positive numbers are said to be in the golden ratio if the ratio between the larger number and the smaller number is the same as the ratio between their sum and the larger number. Phi=(1+sqrt(5))/2 approx 1.618. Join me on Coursera: http
From playlist Fibonacci Numbers and the Golden Ratio
C73 Introducing the theorem of Frobenius
The theorem of Frobenius allows us to calculate a solution around a regular singular point.
From playlist Differential Equations
Fabien Pazuki: Bertini and Northcott
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 25, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
Rigidity and Flexibility of Schubert classes - Colleen Robles
Colleen Robles Texas A & M University; Member, School of Mathematics January 27, 2014 Consider a rational homogeneous variety X. The Schubert classes of X form a free additive basis of the integral homology of X. Given a Schubert class S in X, Borel and Haefliger asked: aside from the Schu
From playlist Mathematics
Cassini's identity | Lecture 7 | Fibonacci Numbers and the Golden Ratio
Derivation of Cassini's identity, which is a relationship between separated Fibonacci numbers. The identity is derived using the Fibonacci Q-matrix and determinants. Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pd
From playlist Fibonacci Numbers and the Golden Ratio
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)
Paul Shafer:Reverse mathematics of Caristi's fixed point theorem and Ekeland's variational principle
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: Caristi's fixed point theorem is a fixed point theorem for functions that are controlled by continuous functions but are necessarily continuous themselves. Let a 'Caristi
From playlist Workshop: "Proofs and Computation"
Title: Numerical methods for investigating parameter spaces for parameterized polynomial systems Symbolic-Numeric Computing Seminar
From playlist Symbolic-Numeric Computing Seminar
Kevin Yang (Stanford) -- Kardar-Parisi-Zhang equation from some long-range particle systems
We discuss some new results on the Kardar-Parisi-Zhang equation as the continuum limit for height functions associated to long-range variations on ASEP and open ASEP. The method of proof is primarily based on localizing certain aspects of the dynamical approach in the energy solution theor
From playlist Columbia SPDE Seminar
Beyond linear algebra - Bernd Sturmfels
Bernd Sturmfels University of California, Berkeley December 10, 2014 More videos on http://video.ias.edu
From playlist Mathematics
Viviani's Theorem | Visualization and Proof
A visual proof of Viviani's theorem. For any point inside an equilateral triangle, the sum of its perpendicular distances from the three sides is constant. And, this sum is equal to the length of the triangle's altitude. Follow: https://instagram.com/doubleroot.in Music by CeeaDidIt from
From playlist Summer of Math Exposition Youtube Videos
Umberto Zannier - The games of Steiner and Poncelet and algebraic group schemes
November 13, 2017 - This is the first of three Fall 2017 Minerva Lectures We shall briefly present in very elementary terms the 'games' of Steiner and Poncelet, amusing mathematical solitaires of the XIX Century, also related to elliptic billiards. We shall recall that the finiteness of t
From playlist Minerva Lectures Umberto Zannier
Viviani's Theorem: "Proof" Without Words
Link: https://www.geogebra.org/m/BXUrfwxj
From playlist Geometry: Challenge Problems
Euler's formulas, Rodrigues' formula
In this video I proof various generalizations of Euler's formula, including Rodrigues' formula and explain their 3 dimensional readings. Here's the text used in this video: https://gist.github.com/Nikolaj-K/eaaa80861d902a0bbdd7827036c48af5
From playlist Algebra
6 AWESOME DEMOS of Bernoulli's law!
In this video i show some simple experiments about Bernoulli' s law "coanda effect" and how airplane fly. Enjoy!
From playlist MECHANICS
Algebraic and Convex Geometry of Sums of Squares on Varieties (Lecture 4) by Greg Blekherman
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study o
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)