In mathematics, the Jacobi group, introduced by , is the semidirect product of the symplectic group Sp2n(R) and the Heisenberg group R1+2n. The concept is named after Carl Gustav Jacob Jacobi. Automorphic forms on the Jacobi group are called Jacobi forms. (Wikipedia).
Laurent Poinsot 5/15/15 Part 2
Title: Jacobi Algebras, in-between Poisson, Differential, and Lie Algebras
From playlist Spring 2015
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
Laurent Poinsot 5/15/15 Part 1
Title: Jacobi Algebras, in-between Poisson, Differential, and Lie Algebras
From playlist Spring 2015
Theory of numbers: Jacobi symbol
This lecture is part of an online undergraduate course on the theory of numbers. We define the Jacobi symbol as an extension of the Legendre symbol, and show how to use it to calculate the Legendre symbol fast. We also briefly mention the Kronecker symbol. For the other lectures in t
From playlist Theory of numbers
Jacob explains the fundamental concepts in group theory of what groups and subgroups are, and highlights a few examples of groups you may already know. Abelian groups are named in honor of Niels Henrik Abel (https://en.wikipedia.org/wiki/Niels_Henrik_Abel), who pioneered the subject of
From playlist Basics: Group Theory
Etale Theta - Part 02 - Properties of the Arithmetic Jacobi Theta Function
In this video we talk about Proposition 1.4 of Etale Theta. This came out of conversations with Emmanuel Lepage. Formal schemes in the Stacks Project: http://stacks.math.columbia.edu/tag/0AIL
From playlist Etale Theta
The cohomology groups...Jacobians of planar curves - Luca Migliorini
Luca Migliorini University of Bologna; Member, School of Mathematics February 18, 2015 I will first discuss a relation between the cohomology groups (with rational coefficients) of the compactified Jacobian and those of the Hilbert schemes of a projective irreducible curve CC with planar
From playlist Mathematics
Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.
From playlist Abstract algebra
In this video I write down the axioms of Lie algebras and then discuss the defining anti-symmetric bilinear map (the Lie bracket) which is zero on the diagonal and fulfills the Jacobi identity. I'm following the compact book "Introduction to Lie Algebras" by Erdmann and Wildon. https://gi
From playlist Algebra
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist Computer - Cryptography and Network Security
Fourier-Jacobi periods and central value of LL-functions - Hang Xue
Hang Xue Member, School of Mathematics September 26, 2014 More videos on http://video.ias.edu
From playlist Mathematics
Parallel session 8 by Dave Constantine
Geometry Topology and Dynamics in Negative Curvature URL: https://www.icts.res.in/program/gtdnc DATES: Monday 02 Aug, 2010 - Saturday 07 Aug, 2010 VENUE : Raman Research Institute, Bangalore DESCRIPTION: This is An ICM Satellite Conference. The conference intends to bring together ma
From playlist Geometry Topology and Dynamics in Negative Curvature
8ECM Invited Lecture: Emmanuel Kowalski
From playlist 8ECM Invited Lectures
CEB T2 2017 - Fraydoun Rezakhanlou - 3/3
Fraydoun Rezakhanlou (Berkeley) - 09/06/2017 The lectures will discuss the following topics: 1. Scalar Conservation Laws and theirs Markovian solutions 2. Conservation laws with stochastic external force 3. Hamilton-Jacobi PDE, Hamiltonian ODEs and Mather Theory 4. Homogenization for
From playlist 2017 - T2 - Stochastic Dynamics out of Equilibrium - CEB Trimester
Advice Maths Research | The Jacobi polynumber maxel challenge! | Wild Egg Maths
We introduce the Jacobi polynomials which are extensions, in some sense, of the Gegenbauer polynomials and play a major role in representation theory. In this talk we outline explorations that you can make, following the two-dimensional maxel approach to number theory and orthogonal polyno
From playlist Maxel inverses and orthogonal polynomials (non-Members)
This lecture is part of an online graduate course on Lie groups. We define the Lie algebra of a Lie group in two ways, and show that it satisfied the Jacobi identity. The we calculate the Lie algebras of a few Lie groups. For the other lectures in the course see https://www.youtube.co
From playlist Lie groups
The Theta Correspondence Origins, Results, and Ramifications Part I
Professor Roger Howe, Texas A&M University, USA
From playlist Distinguished Visitors Lecture Series
49: April Hamilton Jacobi theory - Part 1
Jacob Linder: 12.04.2012, Classical Mechanics (TFY4345), v2012 NTNU A full textbook covering the material in the lectures in detail can be downloaded for free here: http://bookboon.com/en/introduction-to-lagrangian-hamiltonian-mechanics-ebook
From playlist NTNU: TFY 4345 - Classical Mechanics | CosmoLearning Physics
The J function, sl(2) and the Jacobi identity | Universal Hyperbolic Geometry 19 | NJ Wildberger
We review the basic connection between hyperbolic points and matrices, and connect the J function, which computes the joins of points or the meets of lines, with the Lie bracket of 2x2 matrices. This connects with the Lie algebra called sl(2) in the projective setting. The Jacobi identity
From playlist Universal Hyperbolic Geometry
Sander Zwegers: Fourier coefficients of meromorphic Jacobi forms
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.