In abstract algebra, multiplicity theory concerns the multiplicity of a module M at an ideal I (often a maximal ideal) The notion of the multiplicity of a module is a generalization of the degree of a projective variety. By Serre's intersection formula, it is linked to an intersection multiplicity in the intersection theory. The main focus of the theory is to detect and measure a singular point of an algebraic variety (cf. resolution of singularities). Because of this aspect, valuation theory, Rees algebras and integral closure are intimately connected to multiplicity theory. (Wikipedia).
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
What the heck is a Multiverse?
The idea of a multiverse (short for multiple universes) can seem absurd. After all, the definition of universe means everything, so what does it mean to have multiple universes? In this video, Fermilab’s Dr. Don Lincoln lists a couple possible definitions for a multiverse. The reality in
From playlist Speculative Physics
The multiverse hypothesis: Is our universe the only one?
Support me on Patreon: https://www.patreon.com/Sabine In the past decades, the idea that our universe is only one of many, has become popular among physicists. If there are several universes, their collection is called the “multiverse”, and physicists have a few theories for this that I e
From playlist Physics
(PP 6.2) Multivariate Gaussian - examples and independence
Degenerate multivariate Gaussians. Some sketches of examples and non-examples of Gaussians. The components of a Gaussian are independent if and only if they are uncorrelated.
From playlist Probability Theory
Solving an equation with variables on both side and one solution
👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist Solve Multi-Step Equations......Help!
One of the most outlandish ideas in modern physics is the multiverse - the idea that there exist multiple universes. Given that scientists tend to be fairly conservative and that this idea seems like a such a reach, it is natural to wonder why this idea is seriously discussed in leading s
From playlist Speculative Physics
Solving an equation with fraction where your variable is on both sides
👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist How to Solve Multi Step Equations with Variables on Both Sides
Solving a multi-step equation with fractions and variable on both sides
👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist How to Solve Multi Step Equations with Variables on Both Sides
Solving a multi-step equation by multiplying by the denominator
👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist How to Solve Multi Step Equations with Variables on Both Sides
On Voevodsky's univalence principle - André Joyal
Vladimir Voevodsky Memorial Conference Topic: On Voevodsky's univalence principle Speaker: André Joyal Affiliation: Université du Québec á Montréal Date: September 11, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Additive number theory: Extremal problems and the combinatorics of sum. (Lecture 4) by M. Nathanson
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Chelsea Walton, "An Invitation to Noncommutative Algebra," the 2021 NAM Claytor-Woodard Lecture
Chelsea Walton, Rice University, gives the NAM Claytor-Woodard Lecture on "An invitation to Noncommutative Algebra," on January 9, 2021 at the Joint Mathematics Meetings
From playlist Useful math
Gaussian multiplicative chaos: applications and recent developments - Nina Holden
50 Years of Number Theory and Random Matrix Theory Conference Topic: Gaussian multiplicative chaos: applications and recent developments Speaker: Nina Holden Affiliation: ETH Zurich Date: June 22, 2022 I will give an introduction to Gaussian multiplicative chaos and some of its applicati
From playlist Mathematics
October 24, 2019, Kisun Lee Georgia Tech @ NYU
Original video of the talk is available here: https://youtu.be/rQa8jCOj2qA Title: Certifying solutions to a square analytic system Abstract: In this talk, we discuss about methods for proving existence and uniqueness of a root of a square analytic system in a given region. For a regular
From playlist Fall 2019 Symbolic-Numeric Computing Seminar
October 24, 2019, Kisun Lee, Georgia Tech @ NYU
Slides are available at https://youtu.be/chp1O8qOdQ0 Title: Certifying solutions to a square analytic system Abstract: In this talk, we discuss about methods for proving existence and uniqueness of a root of a square analytic system in a given region. For a regular root, Krawczyk method
From playlist Fall 2019 Symbolic-Numeric Computing Seminar
David BROADHURST - Tasmanian Adventures
I report on two adventures with Dirk Kreimer in Tasmania, 25 years ago. One of these, concerning knots, is not even wrong. The other, concerning a conjectural 4-term relation, is either wrong or right. I suggest that younger colleagues have powerful tools that might be brought to bear on t
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Bootstrapping the space of 4d N=2 SCFTs by Madalena Lemos
Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography
Certifying Solutions to a Square Analytic System, Courant Institute of Mathematical Sciences, joint with CUNY Graduate Center Symbolic-Numeric Computing Seminar.
From playlist Fall 2019 Symbolic-Numeric Computing Seminar
Why the multiverse is religion, not science.
In this video I explain why the multiverse hypothesis is logically equivalent to the hypothesis that god exists, and therefore is not scientific. I also address the common objections that physicists raise to this. First, they will claim that I am saying the multiverse does not exist. Bu
From playlist Physics
What Would Multiple Universes Mean? | Episode 507 | Closer To Truth
Is there more than one universe? According to current cosmology, our entire gigantic universe is only one of innumerable universes, each universe like one tiny bubble in a limitless ocean of universes. What could all this mean? Featuring interviews with Max Tegmark, Anthony Aguirre, Alan G
From playlist Exploring the Multiverse - Closer To Truth - Core Topic