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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Lists with This Book. 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 singularities and then prove the Riemann Hilbert correspondence for connections over curves. Jake marked it as to-read Jun 01, Key to D-modules, Perverse Sheaves, and Representation Theory is the authors’ essential algebraic-analytic approach to the theory, which Significant concepts and topics that have emerged over the last few decades are presented, including a treatment of the theory of holonomic D-modules, perverse sheaves, the all-important Riemann-Hilbert correspondence, Hodge modules, eprverse the solution to the Kazhdan-Lusztig conjecture using D-module theory.

A good introduction to the homological algebra formalism. Hecke Algebras and Hodge Modules. I end the talk by exploring the relation of Verdier duality with the other functors and briefly describing the formalism of six functors.

Liam marked it as to-read Jun 02, This paper also has useful background for the decomposition theorem and also provides the earlier proofs of the theorem. I begin by defining the notion of a t-structure on a triangulated category and then prove that the heart of a t-structure is abelian.

B2 Categories of complexes. Proofs for most of the results can be found in the following Goresky, Macpherson papers. Regular singular holonomic D-modules and the Riemann Hilbert correspondence. I then discuss some of the properties of these functors, namely the adjunction formulas, projection formula, proper base change.

Want to Read Currently Reading Read. Gourab Bhattacharya is currently reading it Sep 21, Trivia About D-Modules, Perver D-modules continues to be an active area of stimulating research in such mathematical areas as algebra, analysis, differential equations, and representation theory.

Open Preview See a Problem? Riemann-Hilbert Correspondence in Dimension 1 In this talk, I will discuss connections on vector bundles and D-modules with regular singularities and then prove the Riemann Hilbert correspondence for connections over curves. Selected pages Page xi. Thanks for telling us about the problem. Constructible Sheaves on Stratified Spaces In this talk, I reintroduce the notion of a topologically stratified space and look at examples to understand the local topology of a stratified space.

E2 Symplectic structures on cotangent bundles. B6 Bifunctors in derived categories.

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

d-moules Analytic DModules and the de Rham Functor. Nitin CR added it Mar 25, Books by Ryoshi Hotta. Akhil Mathew’s Notes on Verdier Duality. Refresh and try again. Matthew Housley marked it as to-read May 26, Representations of Lie Algebras and DModules. These notes focus on motivating and applying the decomposition theorem. E3 Lagrangian subsets of eheaves bundles. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.

References more to be added: A5 Smoothness dimensions and local coordinate systems.

## MIT Graduate Seminar on D-modules and Perverse Sheaves (Fall 2015)

The first paper defines the intersection complex using simplicial chains on PL pseudomanifolds while the second introduces the sheaf theoretic viewpoint following a suggestion of Deligne.

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. This book also contains a good exposition of t-structures.

D-modukes, I define constructible sheaves on topologically stratified spaces and show represetnation 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.

## D-Modules, Perverse Sheaves, and Representation Theory

Subsequently, I prove erpresentation the support and cosupport conditions define a t-structure on the constructible derived category of sheaves. This book is not yet featured on Listopia. The decomposition theorem, perverse sheaves and the topology of algebraic varieties by de Cataldo and Migliorini: Key to D-modules, Perverse Sheaves, and Representation Theory d-modulfs the authors’ essential algebraic-analytic approach to the theory, which connects D -modules to representation theory and other areas of mathemat D -modules continues to be an active area of stimulating research in such mathematical representatlon as algebraic, analysis, differential equations, and representation theory.

Liviu Nicolaescu’s notes on the derived category of sheaves and Verdier Duality: If this book tried to give complete proofs here it would probably be twice as long, so you can’t blame them. Bernstein’s notes on Algebraic D-modules: The papers that introduced intersection homology.

The book is intended to serve graduate students in a d-modyles setting and as self-study for researchers in algebraic geometry, and representation theory. 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 There are no discussion topics on this book yet.