Picard theorem
In complex analysis, Picard's great theorem and Picard's little theorem are related theorems about the range of an analytic function. They are named after Émile Picard. (Wikipedia).
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In complex analysis, Picard's great theorem and Picard's little theorem are related theorems about the range of an analytic function. They are named after Émile Picard. (Wikipedia).
Existence and Uniqueness of y'=f(x,y) with y(x_0)=y_0: Picard's Theorem (1.2.2)
This video explains how to use Picard's theorem determine the existence and uniqueness of an initial value problem. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
Ex: Existence and Uniqueness of y'=f(x,y) with y(x_0)=y_0: Picard's Theorem (1.2.102-103)
This video explains how to use Picard's theorem determine the existence and uniqueness of an initial value problem. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we give some classic examples of Picard groups of schemes: class numbers of various number fields, complex curves, and some rational surfaces.
From playlist Algebraic geometry II: Schemes
Use Picard's Iteration to Approximate a Solution to a IVP (2 iterations only)
This video explains how to use Picard's iteration to approximate a solution to a first order differential equation in the form dy/dt=f(t,y). http://mathispower4u.com
From playlist Linear First Order Differential Equations: Interval of Validity (Existence and Uniqueness)
Mod-04 Lec-19 Picard's Existence and Uniqueness Continued
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.
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
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
Frank Gounelas : Rational curves on K3 surfaces
Bogomolov and Mumford proved that every complex projective K3 surface contains a rational curve. Since then, a lot of progress has been made by Bogomolov, Chen, Hassett, Li, Liedtke, Tschinkel and others, towards the stronger statement that any such surface in fact contains infinitely many
From playlist Algebraic and Complex Geometry
Hodge Theory -- From Abel to Deligne - Phillip Griffiths
Phillip Griffiths School of Mathematics, Institute for Advanced Study October 14, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Edgar Costa, From counting points to rational curves on K3 surfaces
VaNTAGe Seminar, Jan 26, 2021
From playlist Arithmetic of K3 Surfaces
Ananth Shankar, Picard ranks of K3 surfaces and the Hecke orbit conjecture
VaNTAGe Seminar, November 23, 2021
From playlist Complex multiplication and reduction of curves and abelian varieties
Mod-04 Lec-18 Picard's Existence and Uniqueness Theorem
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
Tony Varilly Alvarado, Descent on K3 surfaces: Brauer group computations and challenges
VaNTAGe seminar March 23, 2021 License: CC-BY-NC-SA
From playlist Arithmetic of K3 Surfaces
Geometry Of Frobenioids - part 10 - Mochizuki's Baby Distortion Lemma
This videos is an attempt at giving the idea of "distortion" involved in Mochizuki's IUT.
From playlist Geometry of Frobenioids
In this video I derive the famous Cauchy-Riemann equations for a differentiable function of one complex variable. Those are equations that determine whether a complex function is differentiable or not, in terms of its real and imaginary parts. Zot zot :)
From playlist Complex Analysis
