Differential Equations | Abel's Theorem
We present Abel's Theorem with a proof. http://www.michael-penn.net
From playlist Differential Equations
Differential Equations | Application of Abel's Theorem Example 1
We give an example of applying Abel's Theorem to construct a second solution to a differential equation given one solution. www.michael-penn.net
From playlist Differential Equations
This is one of my all-time favorite differential equation videos!!! :D Here I'm actually using the Wronskian to actually find a nontrivial solution to a second-order differential equation. This is amazing because it brings the concept of the Wronskian back to life! And as they say, you won
From playlist Differential equations
Differential Equations | Application of Abel's Theorem Example 2
We give an example of applying Abel's Theorem to construct a second solution to a differential equation given one solution. www.michael-penn.net
From playlist Differential Equations
Claire Voisin: Gonality and zero-cycles of abelian varieties
Abstract: The gonality of a variety is defined as the minimal gonality of curve sitting in the variety. We prove that the gonality of a very general abelian variety of dimension g goes to infinity with g. We use for this a (straightforward) generalization of a method due to Pirola that we
From playlist Algebraic and Complex Geometry
B25 Example problem solving for a Bernoulli equation
See how to solve a Bernoulli equation.
From playlist Differential Equations
C36 Example problem solving a Cauchy Euler equation
An example problem of a homogeneous, Cauchy-Euler equation, with constant coefficients.
From playlist Differential Equations
Differential Equation - 2nd Order (32 of 54) Abel's Theorem
Visit http://ilectureonline.com for more math and science lectures! In this video I will use Abel's theorem of using the Wronskian to solve differential equations. Next video in this series can be seen at: https://youtu.be/D0nag8a7t1Y
From playlist DIFFERENTIAL EQUATIONS 11 - 2nd ORDER, A COMPLETE OVERVIEW
Cyril Demarche: Cohomological obstructions to local-global principles - lecture 2
Hasse proved that for quadrics the existence of rational points reduces to the existence of solutions over local fields. In many cases, cohomological constructions provide obstructions to such a local to global principle. The objective of these lectures is to give an introduction to these
From playlist Algebraic and Complex Geometry
David Masser: Avoiding Jacobians
Abstract: It is classical that, for example, there is a simple abelian variety of dimension 4 which is not the jacobian of any curve of genus 4, and it is not hard to see that there is one defined over the field of all algebraic numbers \overline{\bf Q}. In 2012 Chai and Oort asked if ther
From playlist Algebraic and Complex Geometry
Jacob Tsimerman, Unlikely intersections and the André-Oort conjecture
VaNTAGe Seminar, December 7, 2021 License: CC-BY-NC-SA
From playlist Complex multiplication and reduction of curves and abelian varieties
Andrew Sutherland, Arithmetic L-functions and their Sato-Tate distributions
VaNTAGe seminar on April 28, 2020. License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
Differential Equations | Variation of Parameters.
We derive the general form for a solution to a differential equation using variation of parameters. http://www.michael-penn.net
From playlist Differential Equations
Finite or infinite? One key to algebraic cycles - Burt Totaro
Burt Totaro University of California, Los Angeles; Member, School of Mathematics February 2, 2015 Algebraic cycles are linear combinations of algebraic subvarieties of an algebraic variety. We want to know whether all algebraic subvarieties can be built from finitely many, in a suitable s
From playlist Mathematics
The Structure of the Group of Rational Points of an Abelian Variety (CTNT Online, June 12-14, 2020)
This video was created for the CTNT 2020 Conference (June 12-14, 2020): https://ctnt-summer.math.uconn.edu/ctnt-conference-2020-online/ (Preprint) The Structure of the Group of Rational Points of an Abelian Variety over a Finite Field: https://arxiv.org/abs/2006.00637 My contact informat
From playlist CTNT 2020 - Conference Videos
Umberto Zannier - Torsion values for sections in abelian schemes and the Betti map
November 14, 2017 - This is the second of three Fall 2017 Minerva Lectures We shall consider further variations in the games, obtaining more general Betti maps. We shall also illustrate some links of the Betti map with several other contexts (Manin's theorem of the kernel, linear different
From playlist Minerva Lectures Umberto Zannier
The Zilber-Pink conjecture - Jonathan Pila
Hermann Weyl Lectures Topic: The Zilber-Pink conjecture Speaker: Jonathan Pila Affiliation: University of Oxford Date: October 26, 2018 For more video please visit http://video.ias.edu
From playlist Hermann Weyl Lectures
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