Algebraic geometry

Dimension of a scheme

In algebraic geometry, the dimension of a scheme is a generalization of a dimension of an algebraic variety. Scheme theory emphasizes the relative point of view and, accordingly, the relative dimension of a morphism of schemes is also important. (Wikipedia).

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Linear Algebra 4.5.1 The Dimension of a Vector Space

An introduction to finding the dimension of a vector space

From playlist Linear Algebra (Entire Course)

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Dimensions (1 of 3: The Traditional Definition - Directions)

More resources available at www.misterwootube.com

From playlist Exploring Mathematics: Fractals

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What is the Span of a Set of Vectors?

What is the Span of a Set of Vectors? Definition of the span of a set of vectors.

From playlist Linear Algebra

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Dimensions of a Matrix

This video explains how to determine the dimension of a matrix and why it is important to be able to identify the dimensions of a matrix. Site: http://mathispower4u.com

From playlist Introduction to Matrices and Matrix Operations

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Dimensions Chapter 5

Chapter 5 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.

From playlist Dimensions

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Dimensions Chapter 1

Chapter 1 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.

From playlist Dimensions

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Dimensions Chapter 2

Chapter 2 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.

From playlist Dimensions

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Anthony Henderson: Hilbert Schemes Lecture 1

SMRI Seminar Series: 'Hilbert Schemes' Lecture 1 Introduction Anthony Henderson (University of Sydney) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way that is accessible to PhD students interested in representa

From playlist SMRI Course: Hilbert Schemes

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Rahul Pandharipande - Enumerative Geometry of Curves, Maps, and Sheaves 3/5

The main topics will be the intersection theory of tautological classes on moduli space of curves, the enumeration of stable maps via Gromov-Witten theory, and the enumeration of sheaves via Donaldson-Thomas theory. I will cover a mix of classical and modern results. My goal will be, by th

From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory

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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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Dimensions Chapter 6

Chapter 6 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.

From playlist Dimensions

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Anthony Henderson: Hilbert Schemes Lecture 2

SMRI Seminar Series: 'Hilbert Schemes' Lecture 2 H is smooth Anthony Henderson (University of Sydney) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way that is accessible to PhD students interested in representat

From playlist SMRI Course: Hilbert Schemes

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C. Gasbarri - Techniques d’algébrisation en géométrie analytique... (Part 3)

Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie formelle et en géométrie diophantienne. Nous mettrons l’accent sur les points communs entre les

From playlist Ecole d'été 2019 - Foliations and algebraic geometry

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Frobenius exact symmetric tensor categories - Pavel Etingof

Geometric and Modular Representation Theory Seminar Topic: Frobenius exact symmetric tensor categories Speaker: Pavel Etingof Affiliation: Massachusetts Institute of Technology Date: May 12, 2021 For more video please visit https://www.ias.edu/video

From playlist Seminar on Geometric and Modular Representation Theory

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Learning probability distributions; What can, What can't be done - Shai Ben-David

Seminar on Theoretical Machine Learning Topic: Learning probability distributions; What can, What can't be done Speaker: Shai Ben-David Affiliation: University of Waterloo Date: May 7, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Dimensions Chapter 4

Chapter 4 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.

From playlist Dimensions

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Tony Feng - 1/3 Derived Aspects of the Langlands Program

We discuss ways in which derived structures have recently emerged in connection with the Langlands correspondence, with an emphasis on derived Galois deformation rings and derived Hecke algebras. Michael Harris (Columbia Univ.) Tony Feng (MIT)

From playlist 2022 Summer School on the Langlands program

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Joseph Ayoub - 4/5 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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algebraic geometry 14 Dimension

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the dimension of a topological space, algebraic set, or ring.

From playlist Algebraic geometry I: Varieties

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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

Related pages

Irreducible component | Scheme (mathematics) | Dimension of an algebraic variety | Fiber (mathematics) | Smooth scheme | Affine space | Dimension | Étale morphism | Krull dimension | Transcendence degree | Morphism of schemes | Kleiman's theorem | Grothendieck's relative point of view | Krull's principal ideal theorem | Morphism