Scheme theory | Algebraic geometry
In algebraic geometry, a regular scheme is a locally Noetherian scheme whose local rings are regular everywhere. Every smooth scheme is regular, and every regular scheme of finite type over a perfect field is smooth. For an example of a regular scheme that is not smooth, see Geometrically regular ring#Examples. (Wikipedia).
Abstract Algebra | Normal Subgroups
We give the definition of a normal subgroup and give some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
The Normal Distribution (1 of 3: Introductory definition)
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From playlist The Normal Distribution
We are – almost all of us – deeply attracted to the idea of being normal. But what if our idea of ‘normal’ isn’t normal? A plea for a broader definition of an important term. If you like our films, take a look at our shop (we ship worldwide): https://goo.gl/ojRR53 Join our mailing list: h
From playlist SELF
Every vector is a linear combination of the same n simple vectors!
Learning Objectives: 1) Identify the so called "standard basis" vectors 2) Geometrically express a vector as linear combination of the standard basis vectors 3) Algebraically express a vector as a linear combination of the standard basis vectors 4) Express a vector as a matrix-vector produ
From playlist Linear Algebra (Full Course)
Linear Algebra for Computer Scientists. 10. The Standard Basis
This computer science video is one of a series on linear algebra for computer scientists. In this video you will learn about the standard basis, otherwise known as the natural basis. The standard basis is an orthonormal set of vectors which can be used in linear combination to easily cre
From playlist Linear Algebra for Computer Scientists
Intro to non normal distributions. Several examples including exponential and Weibull.
From playlist Probability Distributions
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
Coordinate Systems From Non-Standard Bases | Definitions + Visualization
We've all used the standard coordinate system where (x,y) means x to the right and y up. However, for any subspace and a basis of that subspace, we can define a coordinate system. The same vector can thus be written in multiple coordinate systems. We describe what exactly we mean by this,
From playlist Linear Algebra (Full Course)
Purity for the Brauer group of singular schemes - Česnavičius - Workshop 2 - CEB T2 2019
Kęstutis Česnavičius (Université Paris-Sud) / 27.06.2019 Purity for the Brauer group of singular schemes For regular Noetherian schemes, the cohomological Brauer group is insensitive to removing a closed subscheme of codimension ≥ 2. I will discuss the corresponding statement for scheme
From playlist 2019 - T2 - Reinventing rational points
Kęstutis Česnavičius - Grothendieck–Serre in the quasi-split unramified case
Correction: The affiliation of Lei Fu is Tsinghua University. The Grothendieck–Serre conjecture predicts that every generically trivial torsor under a reductive group scheme G over a regular local ring R is trivial. We settle it in the case when G is quasi-split and R is unramified. To ov
From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021
Semisimple $\mathbb{Q}$-algebras in algebraic combinatorics by Allen Herman
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
Bao Chau Ngo - 3/3 Orbital integrals, moduli spaces and invariant theory
The goal of these lectures is to sketch a general framework to study orbital integrals over equal characteristic local fields by means of moduli spaces of Hitchin type following the main lines of the proof of the fundamental lemma for Lie algebras. After recalling basic elements of the pro
From playlist 2022 Summer School on the Langlands program
Jarosław Buczyński (6/29/17) Bedlewo: Constructions of k-regular maps using finite local schemes
A continuous map R^m → R^N or C^m → C^N is called k-regular if the images of any k distinct points are linearly independent. Given integers m and k a problem going back to Chebyshev and Borsuk is to determine the minimal value of N for which such maps exist. The methods of algebraic topolo
From playlist Applied Topology in Będlewo 2017
Vanishing Krein Parameters in Finite Geometry, by John Bamberg
CMSA Combinatorics Seminar, 3 June 2020
From playlist CMSA Combinatorics Seminar
Purity for flat cohomology by Kestutis Cesnavicius
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
Akhil Mathew - Some recent advances in syntomic cohomology (2/3)
Bhatt-Morrow-Scholze have defined integral refinements $Z_p(i)$ of the syntomic cohomology of Fontaine-Messing and Kato. These objects arise as filtered Frobenius eigenspaces of absolute prismatic cohomology and should yield a theory of "p-adic étale motivic cohomology" -- for example, the
From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)
Joseph Ayoub - 2/5 Sur la conjecture de conservativité
La conjecture de conservativité affirme qu'un morphisme entre motifs constructibles est un isomorphisme s'il en est ainsi de l'une des ses réalisations classiques (de Rham, ℓ-adique, etc.). Il s'agit d'une conjecture centrale dans la théorie des motifs ayant des conséquences concrètes sur
From playlist Joseph Ayoub - Sur la conjecture de conservativité
Writing Vectors in Different Coordinate Systems
Description: Coordinate systems as we have conventionally thought of them are based on the standard basis vectors. But if we have some other basis, we can define a sensible notion of a coordinate system as well. Learning Objectives: 1) Write a vector in a specified basis into the standar
From playlist Older Linear Algebra Videos