Equivariant sheaves
WebJan 26, 2016 · Internal hom of equivariant sheaves. Hot Network Questions Why are Dan Dennett and his heterophenomenonology largely ignored by the Wikipedia and Stanford articles on phenomenology? how to distinguish between Merrell Men's Moab 2 Vent vs Merrell Men's Moab 2 Waterproof at a glance? Is it 日本人 or にほんじん? ... WebDec 25, 2012 · 1 Answer. If an algebraic group G acts freely on a variety X, then G -equivariant sheaves on X are the same as sheaves on the quotient X / G. (If the G …
Equivariant sheaves
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WebSep 27, 2008 · Equivariant Sheaves on Flag Varieties Olaf M. Schnürer We show that the Borel-equivariant derived category of sheaves on the flag variety of a complex reductive group is equivalent to the perfect derived category of dg modules over the extension algebra of the direct sum of the simple equivariant perverse sheaves. WebPerverse sheaves are a powerful tool for understanding topology of algebraic maps, and have far-reaching applications in other areas including representation theory. I hope to introduce the concept of ... isomorphically relates the category of L+G-equivariant perverse sheaves on the a˝ne grassmannian of
WebSep 26, 2009 · We show that the Borel-equivariant derived category of sheaves on the flag variety of a complex reductive group is equivalent to the perfect derived category of … WebIn this paper we study Grothendieck's equivariant sheaf cohomology H (X,G; G) for non-discrete topological groups G and G-sheaves G on a G-Space X. For compact groups and locally compact, totally disconnected groups we obtain detailed results relating H (X,G;-) to H (X;-) G and H (X/G;-).
WebSection 39.12: Equivariant quasi-coherent sheaves ( cite) 39.12 Equivariant quasi-coherent sheaves We think of “functions” as dual to “space”. Thus for a morphism of … WebOct 4, 2024 · Equivariant Functors and Sheaves Geoff Vooys In this thesis we study two main topics which culminate in a proof that four distinct definitions of the equivariant …
A structure of an equivariant sheaf on an invertible sheaf or a line bundle is also called a linearization. Let X be a complete variety over an algebraically closed field acted by a connected reductive group G and L an invertible sheaf on it. If X is normal, then some tensor power $${\displaystyle L^{n}}$$ of L is … See more In mathematics, given an action $${\displaystyle \sigma :G\times _{S}X\to X}$$ of a group scheme G on a scheme X over a base scheme S, an equivariant sheaf F on X is a sheaf of $${\displaystyle {\mathcal {O}}_{X}}$$-modules See more • The tangent bundle of a manifold or a smooth variety is an equivariant vector bundle. • The sheaf of equivariant differential forms. • Let G be a semisimple algebraic group, and λ:H→C a character on a maximal torus H. It extends to a Borel subgroup λ:B→C, … See more • Equivariant sheaves See more On the stalk level, the cocycle condition says that the isomorphism $${\displaystyle F_{gh\cdot x}\simeq F_{x}}$$ is the same as the composition Note that See more A definition is simpler for a vector bundle (i.e., a variety corresponding to a locally free sheaf of constant rank). We say a vector bundle E on an algebraic variety X acted by an algebraic group G is equivariant if G acts fiberwise: i.e., Just like in the non … See more • Equivariant algebraic K-theory • Equivariant bundle • Equivariant cohomology See more
WebA G-equivariant differential form is a smooth polynomial a : g !A (M) that is G-equivariant, i.e., for all g 2G and X 2g (ga)(X)=a(Ad g X); where g 7!Ad g 1 is the adjoint representation of G on g. One advantage of this definition is that a(X) 2A (M) is a linear combination of ordinary differential how do you spell tracheostomyWebOct 5, 2014 · From étale P +-representations to G-equivariant sheaves on G/P; By Peter Schneider, Wilhelms-Universität, Marie-France Vigneras, Université Paris, Gergely Zabradi, Eötvös Loránd University Edited by Fred Diamond, King's College London, Payman L. Kassaei, King's College London, Minhyong Kim, University of Oxford phonepe wikipediaWebThe "beyond GIT" project attempts to expand geometric invariant theory in two ways: 1) to use the ideas of GIT to understand the structure of derived categories of equivariant coherent sheaves, which in turn leads to new results in classical equivariant topology and geometry, and 2) to expand the methods of GIT to apply to general moduli … phonepe work culture