Who Gives a Sheaf? Part 1: A First Example
We take a first look at (pre-)sheaves, as being inspired from first year calculus.
From playlist Who Gives a Sheaf?
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
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
Joel Friedman - Sheaves on Graphs, L^2 Betti Numbers, and Applications.
Joel Friedman (University of British Columbia, Canada) Sheaf theory and (co)homology, in the generality developed by Grothendieck et al., seems to hold great promise for applications in discrete mathematics. We shall describe sheaves on graphs and their applications to (1) solving the
From playlist T1-2014 : Random walks and asymptopic geometry of groups.
Who Gives a Sheaf? Part 3: Mighty Morph'n Morphisms
In this video we discuss the definition of a morphism of sheaves.
From playlist Who Gives a Sheaf?
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
Stéphane Guillermou - Microlocal sheaf theory and symplectic geometry
Abstract: The microlocal theory of sheaves has been introduced and developed by Kashiwara and Schapira in the 80’s, with motivations coming from the theory of D-modules. It has been applied some years ago to the study of symplectic geometry of cotangent bundles in papers of Nadler-Zaslow
From playlist Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
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
Microlocal Theory of Sheaves and Applications to Non-Displaceability - Pierre Schapira
Pierre Schapira University of Paris 6, France January 31, 2011 I will explain the main notions of the microlocal theory of sheaves: the microsupport and its behaviour with respect to the operations, with emphasis on the Morse lemma for sheaves. Then, inspired by the recent work of Tamarkin
From playlist Mathematics
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
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)
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)
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
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
CDH methods in K-theory and Hochschild homology - Charles Weibel
Charles Weibel Rutgers University; Member, School of Mathematics November 11, 2013 This is intended to be a survey talk, accessible to a general mathematical audience. The cdh topology was created by Voevodsky to extend motivic cohomology from smooth varieties to singular varieties, assumi
From playlist Mathematics
Leray spectral sequence continued, computing derived pushforwards, strict henselizations and stalks of derived pushforwards, Weil-Divisor exact sequence, cohomology of the sheaf of divisors, reduction to Galois cohomology, intro to Brauer groups
From playlist Étale cohomology and the Weil conjectures
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
Matthew Morrow: Relative integral p-adic Hodge theory
Abstract: Given a smooth scheme X over the ring of integers of a p-adic field, we introduce the notion of a relative Breuil-Kisin-Fargues module M on X. Each such M simultaneously encodes the data of a lisse étale sheaf, a module with flat connection, and a crystal, whose cohomologies are
From playlist Algebraic and Complex Geometry
Introduction to the category of Adic spaces (Lecture 3) by Chitrabhanu Chaudhuri
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
Schemes 3: exactness and sheaves
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In it we discuss exactness of morphisms of sheaves over a topological space.
From playlist Algebraic geometry II: Schemes