Algebraic geometry

Purity (algebraic geometry)

In the mathematical field of algebraic geometry, purity is a theme covering a number of results and conjectures, which collectively address the question of proving that "when something happens, it happens in a particular codimension". (Wikipedia).

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algebraic geometry 15 Projective space

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It introduces projective space and describes the synthetic and analytic approaches to projective geometry

From playlist Algebraic geometry I: Varieties

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Isometry groups of the projective line (I) | Rational Geometry Math Foundations 138 | NJ Wildberger

The projective line can be given a Euclidean structure, just as the affine line can, but it is a bit more complicated. The algebraic structure of this projective line supports some symmetries. Symmetry in mathematics is often most efficiently encoded with the idea of a group--a technical t

From playlist Math Foundations

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Infinite Limits With Equal Exponents (Calculus)

#Calculus #Math #Engineering #tiktok #NicholasGKK #shorts

From playlist Calculus

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Evaluate limits by expanding the power

Evaluate limits by expanding the power, blackpenredpen, math for fun

From playlist Sect2.3, Evaluating Limits Algebraically

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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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Algebraic geometry 44: Survey of curves

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives an informal survey of complex curves of small genus.

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

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Leslie Saper : L2-cohomology and the theory of weights

Abstract : The intersection cohomology of a complex projective variety X agrees with the usual cohomology if X is smooth and satisfies Poincare duality even if X is singular. It has been proven in various contexts (and conjectured in more) that the intersection cohomology may be represente

From playlist Topology

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Étale cohomology - 10/13/2020

Purity, the Gysin sequence, cohomology of projective space, elementary fibrations, statement of Artin comparison

From playlist Étale cohomology and the Weil conjectures

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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

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J. Bost - Techniques d’algébrisation... (Part 3)

Abstract - 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 commun

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

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algebraic geometry 23 Categories

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives a quick review of category theory as background for the definition of morphisms of algebraic varieties.

From playlist Algebraic geometry I: Varieties

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algebraic geometry 17 Affine and projective varieties

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the relation between affine and projective varieties, with some examples such as a cubic curve and the twisted cubic.

From playlist Algebraic geometry I: Varieties

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Peter SCHOLZE (oct 2011) - 5/6 Perfectoid Spaces and the Weight-Monodromy Conjecture

We will introduce the notion of perfectoid spaces. The theory can be seen as a kind of rigid geometry of infinite type, and the most important feature is that the theories over (deeply ramified extensions of) Q_p and over F_p((t)) are equivalent, generalizing to the relative situation a th

From playlist Peter SCHOLZE (oct 2011) - Perfectoid Spaces and the Weight-Monodromy Conjecture

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Strongly minimal groups in o-minimal structures - K. Peterzil - Workshop 3 - CEB T1 2018

Kobi Peterzil (Haifa) / 27.03.2018 Strongly minimal groups in o-minimal structures Let G be a definable two-dimensional group in an o-minimal structure M and let D be a strongly minimal expansion of G, whose atomic relations are definable in M. We prove that if D is not locally modular t

From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

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L. Ramero - Perfectoid spaces and log-regular rings

I will present a generalization of Scholze's perfectoid spaces that includes the limits of certain very ramified towers of log-regular rings. This is part of an on-going joint work with Ofer Gabber.

From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday

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The topology of proper toric maps - Mark Andrea de Cataldo

Mark Andrea de Cataldo Stony Brook University; Member, School of Mathematics October 1, 2014 I will discuss some of the topology of the fibers of proper toric maps and a combinatorial invariant that comes out of this picture. Joint with Luca Migliorini and Mircea Mustata. More videos on

From playlist Mathematics

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Kęstutis Česnavičius - Purity for Flat Cohomology

The absolute cohomological purity conjecture of Grothendieck proved by Gabber ensures that on regular schemes étale cohomology classes of fixed cohomological degree extend uniquely over closed subschemes of large codimension. I will discuss the corresponding phenomenon for flat cohomology.

From playlist Journée Gretchen & Barry Mazur

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The top-heavy conjecture for vectors and matroids - Tom Braden

Members’ Seminar Topic: The top-heavy conjecture for vectors and matroids Speaker: Tom Braden SPEAKER AFFILIATION Affiliation: University of Massachusetts, Amherst; Member, School of Mathematics Date: February 08, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

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What is the curl?

Free ebook http://tinyurl.com/EngMathYT A basic introduction to the curl of a vector field - one of the basic operations of vector calculus. I show how to calculate the curl and discuss its relationship with rotation and circulation density. Many examples are presented.

From playlist Engineering Mathematics

Related pages

Local cohomology | Commutative algebra | Riemann surface | Algebraic variety | Étale morphism | Ramification (mathematics) | Closed immersion | Algebraic geometry | Étale cohomology | Codimension | Alexander Grothendieck | Oscar Zariski | Complex manifold