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
Applications of additive combinatorics to Diophantine equations - Alexei Skorobogatov
Alexei Skorobogatov Imperial College London April 10, 2014 The work of Green, Tao and Ziegler can be used to prove existence and approximation properties for rational solutions of the Diophantine equations that describe representations of a product of norm forms by a product of linear poly
From playlist Mathematics
Ulrich Berger: On the Computational content of Brouwer's Theorem
The lecture was held within the framework of the Hausdorff Trimester Program: Constructive Mathematics. Abstract: The usual formulation of Brouwer's Theorem ('every bar is inductive')involves quantification over infinite sequences of natural numbers. We propose an alternative formulation
From playlist Workshop: "Constructive Mathematics"
Representation Theory(Repn Th) 2 by Gerhard Hiss
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
New Local Properties in the Character Table by Gabriel Navarro
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
Brill-Noether part 4: Noether's Theorem
From playlist Brill-Noether
Purity for the Brauer group of singular schemes - Česnavičius - Workshop 2 - CEB T2 2019
Kęstutis Česnavičius (Université Paris-Sud) / 27.06.2019 Purity for the Brauer group of singular schemes For regular Noetherian schemes, the cohomological Brauer group is insensitive to removing a closed subscheme of codimension ≥ 2. I will discuss the corresponding statement for scheme
From playlist 2019 - T2 - Reinventing rational points
Convolution Theorem: Fourier Transforms
Free ebook https://bookboon.com/en/partial-differential-equations-ebook Statement and proof of the convolution theorem for Fourier transforms. Such ideas are very important in the solution of partial differential equations.
From playlist Partial differential equations
Nick Addington - Rational points and derived equivalence - WAGON
For smooth projective varieties over Q, is the existence of a rational point preserved under derived equivalence? First I'll discuss why this question is interesting, and what is known. Then I'll show that the answer is no, giving two counterexamples: an abelian variety and a torsor over i
From playlist WAGON
Bjorn Poonen - Cohomological Obstructions to Rational Points [2008]
Cohomological Obstructions to Rational Points. CMI/MSRI Workshop: Modular Forms And Arithmetic June 28, 2008 - July 02, 2008 June 30, 2008 (10:30 AM PDT - 11:30 AM PDT) Speaker(s): Bjorn Poonen (Massachusetts Institute of Technology) Location: MSRI: Simons Auditorium http://www.msri.org
From playlist Number Theory
Solve a Bernoulli Differential Equation Initial Value Problem
This video provides an example of how to solve an Bernoulli Differential Equations Initial Value Problem. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
More on cubic K3 categories - Daniel Huybrechts
Daniel Huybrechts March 10, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu
From playlist Mathematics
Polynomials applied to an operator. Proof that every operator on a finite-dimensional, nonzero, complex vector space has an eigenvalue (without using determinants!).
From playlist Linear Algebra Done Right
Richard Taylor Harvard University; Distinguished Visiting Professor, School of Mathematics March 17, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
More periodic oscillations in a modified Brusselator
This is a longer version of the video https://youtu.be/mRcN-4kzGFY , with a different coloring of molecules, to make the oscillations more visible. The Brusselator model was proposed by Ilya Prigogine and his collaborators at the Université Libre de Bruxelles, to describe an oscillating a
From playlist Molecular dynamics
We show the connection between the method of adjoints in optimal control to the implicit function theorem ansatz. We relate the costate or adjoint state variable to Lagrange multipliers.
From playlist There and Back Again: A Tale of Slopes and Expectations (NeurIPS-2020 Tutorial)
Squares represented by a product of three ternary (...) - Harpaz - Workshop 2 - CEB T2 2019
Yonatan Harpaz (Université Paris Nord) / 27.06.2019 Squares represented by a product of three ternary quadratic forms, and a homogeneous variant of a method of Swinnerton-Dyer. Let k be a number field. In this talk we will consider K3 surfaces over k which admit a degree 2 map to the pr
From playlist 2019 - T2 - Reinventing rational points
Hodge theory and derived categories of cubic fourfolds - Richard Thomas
Richard Thomas Imperial College London September 16, 2014 Cubic fourfolds behave in many ways like K3 surfaces. Certain cubics - conjecturally, the ones that are rational - have specific K3s associated to them geometrically. Hassett has studied cubics with K3s associated to them at the le
From playlist Mathematics
The Schrodinger Equation is (Almost) Impossible to Solve.
Sure, the equation is easily solvable for perfect / idealized systems, but almost impossible for any real systems. The Schrodinger equation is the governing equation of quantum mechanics, and determines the relationship between a system, its surroundings, and a system's wave function. Th
From playlist Quantum Physics by Parth G
Haowen Zhang - Brauer-Manin and cohomological obstructions to rational points
In the problem of deciding integer or rational solutions of polynomial equations (i.e. finding integer/rational points of a variety), we often first look at the “local” solutions over all the Q_p. When does a collection of local solutions give rise to an honest global solution over Q? Ther
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory