D-MODULES PERVERSE SHEAVES AND REPRESENTATION THEORY PDF

Buy D-Modules, Perverse Sheaves, and Representation Theory (Progress in Mathematics) on ✓ FREE SHIPPING on qualified orders. Overview. The origin of many authors’ interest in the connection. Representation Theory → Perverse Sheaves lies in the solution of the. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors’ essential algebraic-analytic approach to the theory, which.

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I will begin by defining the middle perversity intersection complex following Goresky and Macpherson and computing some examples of intersection homology the intersection homology of the affine cone over a smooth projective variety in particular. No trivia or quizzes yet.

Defining the heart of the t-structure as the category of perverse sheaves, I end the talk by giving 5 equivalent definitions of simple perverse sheaves.

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D-Modules, Perverse Sheaves, and Representation Theory

A good introduction to the homological algebra formalism. These notes have some minor errors which will be fixed soon. Sheaves and Functors in Derived Categories.

This paper also has useful background for the decomposition theorem and also provides the earlier proofs of the theorem. Proofs for most of the results can be found in the following Goresky, Macpherson papers. Selected pages X-modules xi. This is a followup to a seminar on D-modules that was held in Springwhich was based on a course taught by Pavel Etingof in Fall This is a useful reference that lists most of the relevant D-module theory without proof.

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Return to Book Page. Character Formula of Highest Weight Modules. B2 Categories of complexes. Nitin CR added it Mar 25, Liviu Nicolaescu’s notes on the derived category of sheaves and Verdier Duality: October 27th Seth Shelley-Abrahamson Riemann-Hilbert Correspondence in Dimension 1 In this talk, I will discuss connections on vector bundles and D-modules with regular d-morules and then prove the Riemann Hilbert correspondence for connections over curves.

Key to D-modules, Perverse Sheaves, and Representation Theory is the authors’ essential algebraic-analytic approach to the theory, which References more to be added: This book also contains a good exposition of t-structures. C2 Functors in derived categories of sheaves.

D-Modules, Perverse Sheaves, and Representation Theory by Ryoshi Hotta

C3 Noncharacteristic deformation lemma. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, and representation theory. Sneaves Bhattacharya is currently reading it Sep 21, Popular passages Page 11 To see what your friends thought of this book, please sign up.

Jake marked it as to-read Jun 01, This book is not yet featured on Listopia. Conjugacy Classes of Semisimple Lie Algebras. Bernstein’s notes on Algebraic D-modules: Pavel Etingof and Roman Bezrukavnikov This is a followup to a seminar on D-modules that was held in Springwhich was based on a course taught by Pavel Etingof in Fall The decomposition theorem, perverse sheaves and the topology of algebraic varieties by de Cataldo and Migliorini: Algebraic Groups and Lie Algebras.

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September 22 Siddharth Venkatesh Constructible Sheaves on Stratified Spaces In this talk, I d-modulea the notion of a topologically stratified space and look at examples to understand the local topology of a stratified space.

MIT Graduate Seminar on D-modules and Perverse Sheaves

Thanks for telling us about the problem. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties.

Subsequently, I define constructible sheaves on topologically stratified spaces and show an example of how such sheaves correspond to quiver data that describes the fundamental group of the strata and how the different strata are glued together.

It has a rather technical treatment, which should be supplemented with something more terse and intuitive, like Bernstein’s lecture notes. Matthew Housley marked it as to-read May 26, Just a moment while we sign you in to your Goodreads account.

A5 Smoothness dimensions and local coordinate systems. Subsequently, I define the exceptional inverse image of a morphism and the Verdier duality on the derived category of sheaves.