In algebraic geometry, given a linear algebraic group G over a field k, a distribution on it is a linear functional satisfying some support condition. A convolution of distributions is again a distribution and thus they form the Hopf algebra on G, denoted by Dist(G), which contains the Lie algebra Lie(G) associated to G. Over a field of characteristic zero, Cartier's theorem says that Dist(G) is isomorphic to the universal enveloping algebra of the Lie algebra of G and thus the construction gives no new information. In the positive characteristic case, the algebra can be used as a substitute for the Lie group–Lie algebra correspondence and its variant for algebraic groups in the characteristic zero ; for example, this approach taken in. (Wikipedia).
Uniform Probability Distribution Examples
Overview and definition of a uniform probability distribution. Worked examples of how to find probabilities.
From playlist Probability Distributions
Linear Function: Domain and Range
How to find the domain and range of a linear function or a constant function. Examples with graphs. Check us out at CalculusHowTo.com!
From playlist Domain and Range of Functions
Define linear functions. Use function notation to evaluate linear functions. Learn to identify linear function from data, graphs, and equations.
From playlist Algebra 1
The Exponential Distribution and Exponential Random Variables | Probability Theory
What is the exponential distribution? This is one of the most common continuous probability distributions. We'll go over an introduction of the exponential distribution and exponentially distributed random variables in today's probability theory video lesson. The exponential distribution
From playlist Probability Theory
Michael Wibmer: Etale difference algebraic groups
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 Algebraic and Complex Geometry
Determining values of a variable at a particular percentile in a normal distribution
From playlist Unit 2: Normal Distributions
AlgTopReview3: More on commutative groups---isomorphisms, homomorphisms, cosets and quotient groups
We present more information on commutative groups and the fundamental structure theorem that every such group is isomorphic to a direct sum of cyclic groups Z_n. We discuss the notions of isomorphism, homomorphism, cosets of a subgroup, and the quotient of a group by a subgroup. *********
From playlist Algebraic Topology
Using normal distribution to find the probability
👉 Learn how to find probability from a normal distribution curve. A set of data are said to be normally distributed if the set of data is symmetrical about the mean. The shape of a normal distribution curve is bell-shaped. The normal distribution curve is such that the mean is at the cente
From playlist Statistics
A Non-flag Arithmetic Regularity Lemma and Counting Lemma - Daniel Altman
Special Year Informal Seminar Topic: A Non-flag Arithmetic Regularity Lemma and Counting Lemma Speaker: Daniel Altman Affiliation: University of Oxford Date: March 10, 2023 We will discuss a version of the Green--Tao arithmetic regularity lemma and counting lemma which works in the gener
From playlist Mathematics
Why was Connes' embedding conjecture refuted and there are still no known... -Michael Chapman
Stability and Testability Topic: Why was Connes' embedding conjecture refuted and there are still no known non-hyperlinear groups? Speaker: Michael Chapman Affiliation: Hebrew University Date: March 24, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability
UNIFORM Probability Distribution for Discrete Random Variables (9-5)
Uniform Probability Distribution: (i.e., a rectangular distribution) is a probability distribution involving one random variable with a constant probability. Each potential outcome is equally likely, such as flipping coin and getting heads is always 50/50. On Chaos Night, Dante experiment
From playlist Discrete Probability Distributions in Statistics (WK 9 - QBA 237)
Pablo Linares & Markus Tempelmayr - A tree-free construction of the structure group
We present a new approach to regularity structures, and in particular to the construction of the structure group, which replaces the tree-based framework of Hairer by a more Lie-geometric setting. We consider the space of pairs (a,p), where a is a placeholder for the nonlinearity and p is
From playlist Research Spotlight
Algebraic groups and all in characteristic p - Ivan Loseu
Quantum Groups Seminar Topic: Algebraic groups and all in characteristic p Speaker: Ivan Loseu Affiliation: Member, School of Mathematics Date: March 18, 2021 For more video please visit http://video.ias.edu
From playlist Quantum Groups Seminar
Frédéric Patras - Substitutions in non-commutative multivariate power series
We describe a group law on formal power series in non-commuting variables in- duced by their interpretation as linear forms on a Hopf algebra of sentences. We study the corresponding structures and show how they can be used to recast in a group theoretic form various identities and transfo
From playlist Combinatorics and Arithmetic for Physics: Special Days 2022
Alexey Bufetov: "Interacting particle systems and random walks on Hecke algebras"
Asymptotic Algebraic Combinatorics 2020 "Interacting particle systems and random walks on Hecke algebras" Alexey Bufetov - University of Bonn Abstract: Multi-species versions of several interacting particle systems, including ASEP, q-TAZRP, and k-exclusion processes, can be interpreted a
From playlist Asymptotic Algebraic Combinatorics 2020
Serre Duality on Character Varieties and Explicit Reciprocity Laws by Otmar Venjakob
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)
Heuristics for the arithmetic of elliptic curves – Bjorn Poonen – ICM2018
Number Theory Invited Lecture 3.6 Heuristics for the arithmetic of elliptic curves Bjorn Poonen Abstract: This is an introduction to a probabilistic model for the arithmetic of elliptic curves, a model developed in a series of articles of the author with Bhargava, Kane, Lenstra, Park, Ra
From playlist Number Theory
Connes Embedding Problem, Kirchberg's Conjecture and Tsirelson's Problem - Thomas Vidick
Marston Morse Lectures Topic: Connes Embedding Problem, Kirchberg's Conjecture and Tsirelson's Problem Speaker: Thomas Vidick Affiliation: California Institute of Technology Date: March 27, 2023 The three problems referred to in the title originate in the theory of von Neumann algebras,
From playlist Mathematics
Bjorn Poonen, Heuristics for the arithmetic of elliptic curves
VaNTAGe seminar on Sep 1, 2020. License: CC-BY-NC-SA. Closed captions provided by Brian Reinhart.
From playlist Rational points on elliptic curves
The Normal Distribution (1 of 3: Introductory definition)
More resources available at www.misterwootube.com
From playlist The Normal Distribution