Scheme theory | Algebraic geometry

Regular scheme

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).

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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

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The Normal Distribution (1 of 3: Introductory definition)

More resources available at www.misterwootube.com

From playlist The Normal Distribution

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Regularization 1

An introduction to regularization with weight decay.

From playlist Regularization

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How Can I Be More Normal?

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

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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)

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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

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Non Normal Distributions

Intro to non normal distributions. Several examples including exponential and Weibull.

From playlist Probability Distributions

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(PP 6.1) Multivariate Gaussian - definition

Introduction to the multivariate Gaussian (or multivariate Normal) distribution.

From playlist Probability Theory

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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)

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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

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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

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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

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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

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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

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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

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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)

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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

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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

Related pages

Scheme (mathematics) | Dimension of an algebraic variety | Smooth scheme | Étale morphism | Local ring | Regular local ring | Geometrically regular ring | Perfect field | Algebraic geometry | Smooth completion