From playlist Dimensions Japanese / 日本語
Complex surfaces 6: Kodaira dimensions 1 and 2
In this lecture we continue the overview of complex projective urfaces by discussing those of Kodaira dimensions 1 and 2. The surfaces of dimension 1 are all elliptic surfaces with a map onto a curve whose fibers are mostly elliptic curves. We describe Kodaira's classification of the poss
From playlist Algebraic geometry: extra topics
Junyan Cao: Kodaira dimension of algebraic fiber spaces over abelian varieties or projective...
Abstract: Let f:X→Y be a fibration between two projective manifolds. The Iitaka’s conjecture predicts that the Kodaira dimension of X is larger than the sum of the Kodaira dimension of X and the Kodaira dimension of the generic fiber. We explain a proof of the Iitaka conjecture for algebra
From playlist Algebraic and Complex Geometry
Dimensions (1 of 3: The Traditional Definition - Directions)
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From playlist Exploring Mathematics: Fractals
Complex surfaces 5: Kodaira dimension 0
This talk is an informal survey of the complex projective surfaces of Kodaira number 0. We first explain why there are 4 types of such surfaces (Enriques, K3, hyperelliptic, and abelian) and then give a few examples of each type.
From playlist Algebraic geometry: extra topics
Bourbaki - 07/11/15 - 3/4 - Benoît CLAUDON
Semi-positivité du cotangent logarithmique et conjecture de Shafarevich-Viehweg, d’après Campana, Pa ̆un, Taji,... Démontrée par A. Parshin et S. Arakelov au début des années 1970, la conjecture d’hyperbolicité de Shafarevich affirme qu’une famille de courbes de genre g ≥ 2 paramétrée pa
From playlist Bourbaki - 07 novembre 2015
Enrica Floris: Invariance of plurigenera for foliations on surfaces
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
Bourbaki - 24/01/15 - 4/4 - Philippe EYSSIDIEUX
Métriques de Kähler-Einstein sur les variétés de Fano [d'après Chen-Donaldson-Sun et Tian]
From playlist Bourbaki - 24 janvier 2015
From playlist Dimensions Arabe/Arabic / العربية
From playlist Dimensions Arabe/Arabic / العربية
Frédéric Mangolte: Algebraic models of the line in the real affine plane
Abstract: We study the following real version of the famous Abhyankar-Moh Theorem: Which real rational map from the affine line to the affine plane, whose real part is a non-singular real closed embedding of ℝ into ℝ^2, is equivalent, up to a birational diffeomorphism of the plane, to the
From playlist Algebraic and Complex Geometry
Alessandra Sarti: Topics on K3 surfaces - Lecture 1: K3 surfaces in the Enriques Kodaira...
Lecture 1: K3 surfaces in the Enriques Kodaira classification and examples Abstract: Aim of the lecture is to give an introduction to K3 surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex
From playlist Algebraic and Complex Geometry
From playlist Dimensions Arabe/Arabic / العربية
Hsueh-Yung Lin: On the existence of algebraic approximations of compact Kähler manifolds
Abstract: Let X be a compact Kähler manifold. The so-called Kodaira problem asks whether X has arbitrarily small deformations to some projective varieties. While Kodaira proved that such deformations always exist for surfaces. Starting from dimension 4, there are examples constructed by Vo
From playlist Analysis and its Applications
From playlist Dimensions Arabe/Arabic / العربية
Bhargav Bhatt - Prismatic cohomology and applications: Kodaira vanishing
February 21, 2022 - This is the third in a series of three Minerva Lectures. Prismatic cohomology is a recently discovered cohomology theory for algebraic varieties over p-adically complete rings. In these lectures, I will give an introduction to this notion with an emphasis on applicatio
From playlist Minerva Lectures - Bhargav Bhatt
From playlist Dimensions Arabe/Arabic / العربية