In mathematics, especially in sheaf theory—a domain applied in areas such as topology, logic and algebraic geometry—there are four image functors for sheaves that belong together in various senses. Given a continuous mapping f: X → Y of topological spaces, and the category Sh(–) of sheaves of abelian groups on a topological space. The functors in question are * direct image f∗ : Sh(X) → Sh(Y) * inverse image f∗ : Sh(Y) → Sh(X) * direct image with compact support f! : Sh(X) → Sh(Y) * exceptional inverse image Rf! : D(Sh(Y)) → D(Sh(X)). The exclamation mark is often pronounced "shriek" (slang for exclamation mark), and the maps called "f shriek" or "f lower shriek" and "f upper shriek"—see also shriek map. The exceptional inverse image is in general defined on the level of derived categories only. Similar considerations apply to étale sheaves on schemes. (Wikipedia).
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From playlist Photoshop
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From playlist Photoshop
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From playlist CRISPR
Beginning Graphic Design: Images
In this video, you’ll learn the basics of using images in graphic design. Visit https://www.gcflearnfree.org/beginning-graphic-design/images/1/ for our text-based lesson. This video includes information on: • Finding quality stock images • Editing images using cropping, resizing, and othe
From playlist Graphic Design
10.4: Pixels! (The Pixels Array) - Processing Tutorial
This video covers the basics of reading from and writing to the pixels array in Processing / Java. This is foundation for all image processing and computer vision applications and examples I'll show in the rest of image and video in Processing (Java) videos. Video for Chapter: 15 of http
From playlist 10: Images and Pixels - Processing Tutorial
Add whitespace to a module list
In this video we add some whitespace with a text header to a module list in canvas. You can find other quick Canvas video here: https://youtube.com/playlist?list=PLntYGYK-wJE35yu2HuK4xHU6Jfu0f9X5n
From playlist Canvas
Graphing Equations By Plotting Points - Part 1
This video shows how to graph equations by plotting points. Part 1 of 2 http://www.mathispower4u.yolasite.com
From playlist Graphing Various Functions
Felix Klein Lecture 2022 part6
From playlist Felix Klein Lectures 2022
Modular Perverse Sheaves on the affine Flag Variety - Laura Rider
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: Modular Perverse Sheaves on the affine Flag Variety Speaker: Laura Rider Affiliation: University of Georgia Date: November 16, 2020 For more video please visit http://video.ias.edu
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory
Jacob Lurie: A Riemann-Hilbert Correspondence in p-adic Geometry Part 2
At the start of the 20th century, David Hilbert asked which representations can arise by studying the monodromy of Fuchsian equations. This question was the starting point for a beautiful circle of ideas relating the topology of a complex algebraic variety X to the study of algebraic diffe
From playlist Felix Klein Lectures 2022
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From playlist LinkedIn
Mr LIMA de CARVALHO e SILVA - From Essential Inclusions to Local Geometric Morphisms
It is well known that, given a site of denition, a subtopos of Grothendieck topos can be obtained by strengthening the Grothendieck topology, thus obtaining an inclusion of toposes. An essential inclusion is one where the inverse image functor of this inclusion has a left adjoint. Kelly an
From playlist Topos à l'IHES
Two Geometric Realizations of the Affine Hecke Algebra IPablo Boixeda Alvarez
Geometric and Modular Representation Theory Seminar Topic: Two Geometric Realizations of the Affine Hecke Algebra I Speaker: Pablo Boixeda Alvarez Affiliation: Member, School of Mathematics Date: March 10, 2021 For more video please visit http://video.ias.edu
From playlist Seminar on Geometric and Modular Representation Theory
Robert Cass: Perverse mod p sheaves on the affine Grassmannian
28 September 2021 Abstract: The geometric Satake equivalence relates representations of a reductive group to perverse sheaves on an affine Grassmannian. Depending on the intended application, there are several versions of this equivalence for different sheaf theories and versions of the a
From playlist Representation theory's hidden motives (SMRI & Uni of Münster)
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
Étale cohomology lecture 3, August 27, 2020
Sites and sheaves, the étale and fppf site, representable functors
From playlist Étale cohomology and the Weil conjectures
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From playlist Graphic Design