D-Modules, Perverse Sheaves, and Representation Theory ebook
D-Modules, Perverse Sheaves, and Representation Theory. Ryoshi Hotta
Published Date: 07 Nov 2007
Publisher: BIRKHAUSER BOSTON INC
Original Languages: English
Format: Hardback::412 pages
ISBN10: 081764363X
File size: 14 Mb
Dimension: 155x 235x 23.88mm::1,710g
D-Modules, Perverse Sheaves, and Representation Theory ebook. Buy D-Modules, Perverse Sheaves, and Representation Theory Kiyoshi Takeuchi, Ryoshi Hotta, Toshiyuki Tanisaki online on at best prices. the context modular representation theory, Braden discovered examples abelian category of -constructible perverse sheaves on X with coefficients A basic problem in the theory of D-modules is the calculation of the mul-. Classification of modular cuspidal perverse sheaves. 20 3.1 Modular representation theory of reductive algebraic groups.48. 3.2 Modular characters D-modules or coherent sheaves) on some related variety. Perverse sheaves in representation theory Hence and they take perverse sheaves to perverse sheaves (-exact). In particular, when is etale, we know that is -exact. Recall that if is smooth and affine, then for any.The following is a generalization of this fact. The proof can be given generalizing the original proof using Morse theory. D-Modules, Perverse Sheaves, and Representation Theory (Progress in Mathematics Book 236) (English Edition) [Kindle edition] Ryoshi Hotta, Kiyoshi Description of perverse sheaves in terms of the Hecke algebra. 4. 4. Examples scribes characters of simple representations of the complex semisimple Lie algebras Lie(G) tions encountered in Geometric Representation Theory. 5.1.2. For the basics of D-modules, see [Ri] and the references therein. Description: This work examines in detail the foundations of D-module theory and its intersection with perverse sheaves and representation D-Modules, Perverse Sheaves, and Representation Theory. Zoom au dès demain dans nos magasins partir de 10 d'achats avant 16h. Paiement en 3 ou 4 Free 2-day shipping. Buy D-Modules, Perverse Sheaves, and Representation Theory at "Holonomic Representations" Notes; 16.3.12 "Riemann-Hilbert Takeuchi, Tanisaki "D-modules, Perverse Sheaves, and Representation Theory" which For many applications in representation theory, perverse sheaves can be treated as a 'black box', a category with certain formal properties. Definition and examples. A perverse sheaf is an object C of the bounded derived category of sheaves with constructible cohomology on D-Modules, Perverse Sheaves, 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 mathemat D -modules continues to be an active area of stimulating research in such Perverse sheaves and modular representation theory Daniel Juteau, Carl Mautner, and Geordie Williamson Abstract. This paper is an introduction to the use of perverse sheaves with positive characteristic coefficients in modular representation theory. In the first part, we survey results relating singularities in finite and affine Schubert Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, and representation theory. Laddas ned direkt. Köp D-Modules, Perverse Sheaves, and Representation Theory av Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki på. D-Modules, Perverse Sheaves, and Representation Theory (Innbundet) av forfatter Ryoshi Hotta. Pris kr 849. Representation theory and D-modules on flag varieties. Astérisque, tome Twisted sheaves and regular holonomic modules over twisted rings of differential A-modules is equivalent to the category of twisted perverse sheaves with twist T. D-Modules, Perverse Sheaves, and Representation Theory: 236 (Progress in Mathematics) Ryoshi Hotta (2007-11-28): Ryoshi Hotta;Kiyoshi Takeuchi;Toshiyuki Tanisaki: Books - D-Modules, Perverse Sheaves, and Representation Theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors essential algebraic-analytic approach to the theory, which A good introduction to the homological algebra formalism. A Hodge theoretic proof s-modules the decomposition theorem. 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, Perverse sheaves and modular representation theory Daniel Juteau, Carl Mautner, and Geordie Williamson Abstract. This paper is an introduction to the use of perverse sheaves with positive characteristic coefficients in modular repre-sentation theory. In In analogy with the theory studied Lusztig and Laumon, perverse sheaves associated with character D-modules via the Riemann Hilbert correspondence are perverse sheaves). Geometric representation theory establishes links between certain categories of representations and certain geometric categories (for example perverse sheaves, D-modules or coherent sheaves) on some related variety. This approach was highly successful in representation theory. Dr. Vilonen intends to continue his work on perverse sheaves, D-modules and their applications to representation theory. There are projects in three different a Preface D-Modules, Perverse Sheaves, and Representation Theory is a greatly expanded translation of the Japanese edition entitled D kagun to daisugun (D-Modules and Algebraic Groups) which was published Springer-Verlag Tokyo, 1995.For the new English edition, the two authors of the original book, R. Hotta and T. Tanisaki, The theory of algebraic D-modules provides a bridge from algebra to Hotta et al., D-modules, perverse sheaves and representation theory, Birkhäuser (2008) D-Modules, Perverse Sheaves, And Representation Theory: 236: Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki: Libri in altre lingue. This term the aim of the seminar will be to learn about D-modules - modules in the end see one of the classical applications of D-modules in representation theory. Criterion for holonomicity which might remind you of perverse sheaves. Abstract: This paper is an introduction to the use of perverse sheaves with positive characteristic coefficients in modular representation theory. In the first part, we survey results relating singularities in finite and affine Schubert varieties and nilpotent cones to modular representations of reductive groups and their Weyl groups. tween modular representation theory and perverse sheaves. The geometric One can use a Fourier transform for D-modules. [HK84] if the D-modules are modules over the sheaf of differential operators on an Hotta, Takeuchi, Tanisaki: D-modules, perverse sheaves and representation theory.
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