This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We define coherent modules over rings and coherent sheaves, and then discuss when the amps f* and f_* preserve coherence or quasicoherence.
From playlist Algebraic geometry II: Schemes
Schemes 34: Coherent sheaves on projective space
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. This lecture discusses some of Serre's theorems about coherent sheaves on projective space. In particular we describe how coherent sheaves are related to finit
From playlist Algebraic geometry II: Schemes
Dennis Gaitsgory - 4/4 Singular support of coherent sheaves
Singular support is an invariant that can be attached to a coherent sheaf on a derived scheme which is quasi-smooth (a.k.a. derived locally complete intersection). This invariant measures how far a given coherent sheaf is from being perfect. We will explain how the subtle difference betwee
From playlist Dennis Gaitsgory - Singular support of coherent sheaves
Dennis Gaitsgory - 3/4 Singular support of coherent sheaves
Singular support is an invariant that can be attached to a coherent sheaf on a derived scheme which is quasi-smooth (a.k.a. derived locally complete intersection). This invariant measures how far a given coherent sheaf is from being perfect. We will explain how the subtle difference betwee
From playlist Dennis Gaitsgory - Singular support of coherent sheaves
Dennis Gaitsgory - 1/4 Singular support of coherent sheaves
Singular support is an invariant that can be attached to a coherent sheaf on a derived scheme which is quasi-smooth (a.k.a. derived locally complete intersection). This invariant measures how far a given coherent sheaf is from being perfect. We will explain how the subtle difference betwee
From playlist Dennis Gaitsgory - Singular support of coherent sheaves
Dennis Gaitsgory - 2/4 Singular support of coherent sheaves
Singular support is an invariant that can be attached to a coherent sheaf on a derived scheme which is quasi-smooth (a.k.a. derived locally complete intersection). This invariant measures how far a given coherent sheaf is from being perfect. We will explain how the subtle difference betwee
From playlist Dennis Gaitsgory - Singular support of coherent sheaves
Microlocal theory of sheaves and link with symplectic geometry III - Stephane Guillermou
Stephane Guillermou University Grenoble May 10, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Microlocal theory of sheaves and link with symplectic geometry II - Stephane Guillermou
Stephane Guillermou University Grenoble May 10, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Étale cohomology - September 8, 2020
Pushforwards, sheaves on the etale site, sheafification, stalks, the category of sheaves is abelian
From playlist Étale cohomology and the Weil conjectures
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
Grothendieck-Serre Duality by Suresh Nayak
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
From Cohomology to Derived Functors by Suresh Nayak
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
George Boxer: Construction of torsion Galois representations
Find 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, bibliographies,
From playlist Algebraic and Complex Geometry
Coherent (phi, Gamma)-modules and cohomology of local systems by Kiran Kedlaya
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) Eknat
From playlist Perfectoid Spaces 2019
Derived de Rham Cohomology - Bhargav Bhatt
Bhargav Bhatt University of Michigan; Member, School of Mathematics September 25, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
On Floer cohomology and non-archimedian geometry - Mohammed Abouzaid
Mohammed Abouzaid Columbia University February 14, 2014 Ideas of Kontsevich-Soibelman and Fukaya indicate that there is a natural rigid analytic space (the mirror) associated to a symplectic manifold equipped with a Lagrangian torus fibration. I will explain a construction which associates
From playlist Mathematics
Extension by zero, compactly supported cohomology, beginning of proper base change
From playlist Étale cohomology and the Weil conjectures
Schemes 27: Quasicoherent sheaves
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We show how to turn a module over a ring into a sheaf of modules over its spectrum. A quasicoherent sheaf of modules of one which looks locally like one constr
From playlist Algebraic geometry II: Schemes