Algebraic geometry | Cohomology theories
In mathematics, the Koszul cohomology groups are groups associated to a projective variety X with a line bundle L. They were introduced by Mark Green , and named after Jean-Louis Koszul as they are closely related to the Koszul complex. surveys early work on Koszul cohomology, gives an introduction to Koszul cohomology, and gives a more advanced survey. (Wikipedia).
Commutative algebra 63: Koszul complex
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We define the Koszul complex of a sequence of elements of a ring, and show it is exact if the sequence is regular. This gives
From playlist Commutative algebra
Alexandru Dimca: Betti numbers of hypersurfaces and defects of linear systems IV
Abstract: Our approach is a generalization of Griffiths' results expressing the cohomology ofa smooth hypersurface V: f=0 in a projective space \mathbb{P}^n in terms of some graded pieces of the Jacobian algebra of f. We will start by recalling these classical results. Then we explain t
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Alexandru Dimca: Betti numbers of hypersurfaces and defects of linear systems III
Abstract: Our approach is a generalization of Griffiths' results expressing the cohomology ofa smooth hypersurface V: f=0 in a projective space \mathbb{P}^n in terms of some graded pieces of the Jacobian algebra of f. We will start by recalling these classical results. Then we explain t
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Alexandru Dimca: Betti numbers of hypersurfaces and defects of linear systems I
Abstract: Our approach is a generalization of Griffiths' results expressing the cohomology ofa smooth hypersurface V: f=0 in a projective space P^n in terms of some graded pieces of the Jacobian algebra of f. We will start by recalling these classical results. Then we explain that when
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Alexandru Dimca: Betti numbers of hypersurfaces and defects of linear systems II
Our approach is a generalization of Griffiths' results expressing the cohomology ofa smooth hypersurface V: f = 0 in a projective space P^n in terms of some graded pieces of the Jacobian algebra of f. We will start by recalling these classical results. Then we explain that when the hyp
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Haluk SENGUN - Cohomology of arithmetic groups and number theory: geometric, ... 2
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
On the Mod p Cohomology for GL_2 (II) by Yongquan Hu
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, ... 1
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Philippe ELBAZ - Cohomology of arithmetic groups and number theory: geometric, ... 3
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, ... 2
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Jérémy Guéré : Mirror symmetry for singularities
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 SPECIAL 7th European congress of Mathematics Berlin 2016.
Koszul duality phenomenon for the Hecke category - Shotaro Makisumi
Short Talks by Postdoctoral Members Koszul duality phenomenon for the Hecke category Shotaro Makisumi Member, School of Mathematics Date: September 25, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
K-Motives and Koszul Duality in Geometric Representation Theory - Jens Eberhardt
K-Motives and Koszul Duality in Geometric Representation Theory - Jens Eberhardt Geometric and Modular Representation Theory Seminar Topic: K-Motives and Koszul Duality in Geometric Representation Theory Speaker: Jens Eberhardt Affiliation: Max Planck Institute Date: April 07, 2021 For m
From playlist Mathematics
Philippe ELBAZ - Cohomology of arithmetic groups and number theory: geometric, ... 2
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Čech cohomology part II, Čech-to-derived spectral sequence, Mayer-Vietoris, étale cohomology of quasi-coherent sheaves, the Artin-Schreier exact sequence and the étale cohomology of F_p in characteristic p.
From playlist Étale cohomology and the Weil conjectures
Jean-Louis Koszul - Interview à l'occasion des 50 ans du bâtiment de l'Institut Fourier
Jean-louis Koszul accompagné de Jacques Gasqui Aux questions : Ariane Rolland (CNRS) et Romain Vanel (CNRS) A l'image : Fanny Bastien (CNRS)
From playlist 50 ans du bâtiment Institut Fourier