Symplectic geometry | Algebras
In mathematics, a Poisson algebra is an associative algebra together with a Lie bracket that also satisfies Leibniz's law; that is, the bracket is also a derivation. Poisson algebras appear naturally in Hamiltonian mechanics, and are also central in the study of quantum groups. Manifolds with a Poisson algebra structure are known as Poisson manifolds, of which the symplectic manifolds and the Poisson–Lie groups are a special case. The algebra is named in honour of Siméon Denis Poisson. (Wikipedia).
Expectation of a Poisson random variable
How to compute the expectation of a Poisson random variable.
From playlist Probability Theory
Math 139 Fourier Analysis Lecture 22: Poisson summation formula
Poisson summation formula; heat kernel for the circle; relation with heat kernel on the line. Heat kernel on the circle is an approximation of the identity. Poisson kernel on the disc is the periodization of the Poisson kernel on the upper half plane. Digression into analytic number the
From playlist Course 8: Fourier Analysis
Laurent Poinsot 5/15/15 Part 1
Title: Jacobi Algebras, in-between Poisson, Differential, and Lie Algebras
From playlist Spring 2015
Statistics: Intro to the Poisson Distribution and Probabilities on the TI-84
This video defines a Poisson distribution and then shows how to find Poisson distribution probabilities on the TI-84.
From playlist Geometric Probability Distribution
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Brent Pym: Holomorphic Poisson structures - lecture 2
The notion of a Poisson manifold originated in mathematical physics, where it is used to describe the equations of motion of classical mechanical systems, but it is nowadays connected with many different parts of mathematics. A key feature of any Poisson manifold is that it carries a cano
From playlist Virtual Conference
Poisson's Equation for Beginners: LET THERE BE GRAVITY and How It's Used in Physics | Parth G
The first 1000 people to use the link will get a free trial of Skillshare Premium Membership: https://skl.sh/parthg03211 The Poisson equation has many uses in physics... so we'll be understanding the basics of the mathematics behind it, and then applying it to the study of classical grav
From playlist Classical Physics by Parth G
Math 139 Fourier Analysis Lecture 20: Steady-state heat equation in the upper half plane
Statement of problem; formal solution using Fourier transform; definition of Poisson kernel on upper half plane; Fourier transform of Poisson kernel; Poisson kernel is an approximation of the identity; convolution with the Poisson kernel yields a solution; mean value property of harmonic f
From playlist Course 8: Fourier Analysis
Henrique Bursztyn: Relating Morita equivalence in algebra and geometry via deformation quantization
Talk by Henrique Bursztyn in Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/3225/ on April 2, 2021.
From playlist Global Noncommutative Geometry Seminar (Americas)
Omar León Sánchez, University of Manchester
December 17, Omar León Sánchez, University of Manchester A Poisson basis theorem for symmetric algebras
From playlist Fall 2021 Online Kolchin Seminar in Differential Algebra
Laurent Poinsot 5/15/15 Part 2
Title: Jacobi Algebras, in-between Poisson, Differential, and Lie Algebras
From playlist Spring 2015
LG/CFT seminar - Poisson structures 2
This is a seminar series on the Landau-Ginzburg / Conformal Field Theory correspondence, and various mathematical ingredients related to it. This particular lecture is about Poisson varieties and Poisson manifolds, including the concept of rank. This video was recorded in the pocket Delta
From playlist Landau-Ginzburg seminar
Alberto Cattaneo: An introduction to the BV-BFV Formalism
Abstract: The BV-BFV formalism unifies the BV formalism (which deals with the problem of fixing the gauge of field theories on closed manifolds) with the BFV formalism (which yields a cohomological resolution of the reduced phase space of a classical field theory). I will explain how this
From playlist Topology
Nijenhuis geometry for ECRs: Pre-recorded Lecture 4
Pre-recorded Lecture 4: Nijenhuis geometry for ECRs Date: 10 February 2022 Lecture slides: https://mathematical-research-institute.sydney.edu.au/wp-content/uploads/2022/02/Prerecorded_Lecture4.pdf ---------------------------------------------------------------------------------------------
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems
Brent Pym: Holomorphic Poisson structures - lecture 1
CIRM VIRTUAL EVENT Recorded during the research school "Geometry and Dynamics of Foliations " the April 28, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on
From playlist Virtual Conference
Pavel Etingof - "D-modules on Poisson varieties and Poisson traces"
Pavel Etingof delivers a research talk on "D-modules on Poisson varieties and Poisson traces" at the Worldwide Center of Mathematics
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
Joakim Arnlind - Discrete Minimal Surface Algebras
https://indico.math.cnrs.fr/event/4272/attachments/2260/2714/IHESConference_Joakim-ARNLIND.pdf
From playlist Space Time Matrices
Pavel Etingof: Poisson-Lie groups and Lie bialgebras - Lecture 2
HYBRID EVENT Recorded during the meeting "Lie Theory and Poisson Geometry" the January 11, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiov
From playlist Virtual Conference
Brent Pym: Holomorphic Poisson structures - lecture 3
The notion of a Poisson manifold originated in mathematical physics, where it is used to describe the equations of motion of classical mechanical systems, but it is nowadays connected with many different parts of mathematics. A key feature of any Poisson manifold is that it carries a cano
From playlist Virtual Conference
Pavel Safronov: Quantum character varieties at roots of unity
Abstract: Character varieties of closed surfaces have a natural Poisson structure whose quantization may be constructed in terms of the corresponding quantum group. When the quantum parameter is a root of unity, this quantization carries a central subalgebra isomorphic to the algebra of fu
From playlist Algebraic and Complex Geometry