Share

D-Modules, Perverse Sheaves, and Representation Theory

2007-10-12 Mathematics
Download D-Modules, Perverse Sheaves, and Representation Theory PDF Online Free

Author :
Release : 2007-10-12
Genre : Mathematics
Kind : eBook
Book Rating : 233/5 ( reviews)

GET EBOOK


Book Synopsis D-Modules, Perverse Sheaves, and Representation Theory by : Kiyoshi Takeuchi

Download or read book D-Modules, Perverse Sheaves, and Representation Theory written by Kiyoshi Takeuchi. This book was released on 2007-10-12. Available in PDF, EPUB and Kindle. Book excerpt: D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. 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. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.

D-Modules, Perverse Sheaves, and Representation Theory

2008 D-modules
Download D-Modules, Perverse Sheaves, and Representation Theory PDF Online Free

Author :
Release : 2008
Genre : D-modules
Kind : eBook
Book Rating : /5 ( reviews)

GET EBOOK


Book Synopsis D-Modules, Perverse Sheaves, and Representation Theory by : Hyman Bass

Download or read book D-Modules, Perverse Sheaves, and Representation Theory written by Hyman Bass. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: D-modules continues to be an active area of stimulating research in such mathematical areas as algebra, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. 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, and the solution to the Kazhdan-Lusztig conjecture using D-module theory. 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. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, and representation theory.

Perverse Sheaves and Applications to Representation Theory

2021-09-27 Education
Download Perverse Sheaves and Applications to Representation Theory PDF Online Free

Author :
Release : 2021-09-27
Genre : Education
Kind : eBook
Book Rating : 978/5 ( reviews)

GET EBOOK


Book Synopsis Perverse Sheaves and Applications to Representation Theory by : Pramod N. Achar

Download or read book Perverse Sheaves and Applications to Representation Theory written by Pramod N. Achar. This book was released on 2021-09-27. Available in PDF, EPUB and Kindle. Book excerpt: Since its inception around 1980, the theory of perverse sheaves has been a vital tool of fundamental importance in geometric representation theory. This book, which aims to make this theory accessible to students and researchers, is divided into two parts. The first six chapters give a comprehensive account of constructible and perverse sheaves on complex algebraic varieties, including such topics as Artin's vanishing theorem, smooth descent, and the nearby cycles functor. This part of the book also has a chapter on the equivariant derived category, and brief surveys of side topics including étale and ℓ-adic sheaves, D-modules, and algebraic stacks. The last four chapters of the book show how to put this machinery to work in the context of selected topics in geometric representation theory: Kazhdan-Lusztig theory; Springer theory; the geometric Satake equivalence; and canonical bases for quantum groups. Recent developments such as the p-canonical basis are also discussed. The book has more than 250 exercises, many of which focus on explicit calculations with concrete examples. It also features a 4-page “Quick Reference” that summarizes the most commonly used facts for computations, similar to a table of integrals in a calculus textbook.

D-Modules, Perverse Sheaves, and Representation Theory

2007-11-07 Mathematics
Download D-Modules, Perverse Sheaves, and Representation Theory PDF Online Free

Author :
Release : 2007-11-07
Genre : Mathematics
Kind : eBook
Book Rating : 63X/5 ( reviews)

GET EBOOK


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

Download or read book D-Modules, Perverse Sheaves, and Representation Theory written by Ryoshi Hotta. This book was released on 2007-11-07. Available in PDF, EPUB and Kindle. Book excerpt: D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. 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. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.

Algebraic D-modules

1987 Mathematics
Download Algebraic D-modules PDF Online Free

Author :
Release : 1987
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

GET EBOOK


Book Synopsis Algebraic D-modules by : Armand Borel

Download or read book Algebraic D-modules written by Armand Borel. This book was released on 1987. Available in PDF, EPUB and Kindle. Book excerpt: Presented here are recent developments in the algebraic theory of D-modules. The book contains an exposition of the basic notions and operations of D-modules, of special features of coherent, holonomic, and regular holonomic D-modules, and of the Riemann-Hilbert correspondence. The theory of Algebraic D-modules has found remarkable applications outside of analysis proper, in particular to infinite dimensional representations of semisimple Lie groups, to representations of Weyl groups, and to algebraic geometry.

You may also like...