D-Modules, Perverse Sheaves, and Representation Theory pdf epub mobi txt 电子书 下载 2025
- 数学
- 表示论
- perverse_sheaves
- D-modules
- 代数
- Mathematics
- representation_theory
- representation
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.
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本书分为两部分，第一部分主要develop D-Module Theory 和 Perverse Sheaves， 以著名的 Riemann-Hilbert Correspondence 作结。因为对于同调论不熟悉，所以只是很粗略地看了一下。第二部分讲D-Modules在表示论中的应用。重点介绍了 Borel-Weil-Bott Theorem 和 Beilinson-Bernstein Theorem。书写得很technical，有的地方看不到 overall picture但还是一本令人爱不释手的好书。
评分use adjoint functor in a wrong way, very annoying. concrete computation, helpful.
评分use adjoint functor in a wrong way, very annoying. concrete computation, helpful.
评分use adjoint functor in a wrong way, very annoying. concrete computation, helpful.
评分use adjoint functor in a wrong way, very annoying. concrete computation, helpful.
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