Scheme theory | Abelian varieties | Geometry of divisors
In mathematics, the Picard group of a ringed space X, denoted by Pic(X), is the group of isomorphism classes of invertible sheaves (or line bundles) on X, with the group operation being tensor product. This construction is a global version of the construction of the divisor class group, or ideal class group, and is much used in algebraic geometry and the theory of complex manifolds. Alternatively, the Picard group can be defined as the sheaf cohomology group For integral schemes the Picard group is isomorphic to the class group of Cartier divisors. For complex manifolds the exponential sheaf sequence gives basic information on the Picard group. The name is in honour of Émile Picard's theories, in particular of divisors on algebraic surfaces. (Wikipedia).
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From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.
The Props and Costumes of Star Trek: Picard!
Adam checks out a selection of original props and costumes from the production of Star Trek: Picard Seasons 1 and 2! From Romulan disruptors to Starfleet uniforms, over 300 of these objects are going up for sale in Prop Store's upcoming online auction. Find these props and costumes from
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Math Props from Star Trek Picard S2E4 "The Watcher", first aired in March 2022. A russian abacus, somehow abandoned in pre-war France. Please comment if you know of any other math props in film or TV! Curta image CC-BY-SA-3.0 France by Wikimedia user Rama. #fascinating
From playlist Math Props
The Picard group of the stable module category of a finite group - Jesper Grodal
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: The Picard group of the stable module category of a finite group Speaker: Jesper Grodal Affiliation: University of Copenhagen; Member, School of Mathematics Date: November 17, 2020 For more video please vis
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory
Les 10 ans du Groupe Calcul - Laurent Desbat, TIMC-IMAG, Université Fourier, Grenoble
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From playlist Les 10 ans du Groupe Calcul
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we give some classic examples of Picard groups of schemes: class numbers of various number fields, complex curves, and some rational surfaces.
From playlist Algebraic geometry II: Schemes
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VaNTAGe Seminar, Jan 26, 2021
From playlist Arithmetic of K3 Surfaces
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This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we Define a homomorphism from Caritier divisor classes to the Picard group, and show that it is an isomorphism for integral schemes. We use thi
From playlist Algebraic geometry II: Schemes
Tony Varilly Alvarado, Descent on K3 surfaces: Brauer group computations and challenges
VaNTAGe seminar March 23, 2021 License: CC-BY-NC-SA
From playlist Arithmetic of K3 Surfaces
Vigleik Angeltveit: The Picard group of Equivariant Stable Homotopy Theory
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VaNTAGe Seminar, Feb 9, 2021
From playlist Arithmetic of K3 Surfaces
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From playlist Algebraic and Complex Geometry
The Geometric Langlands conjecture and non-abelian Hodge theory (Lecture 1) by Ron Donagi
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From playlist Geometry of Frobenioids
Présentation de l'exposition "Emile Borel : un mathématicien au pluriel"
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From playlist Bibliothèque