圖書標籤: 數學 錶示論 perverse_sheaves D-modules 代數 Mathematics representation_theory representation
发表于2024-11-22
D-Modules, Perverse Sheaves, and Representation Theory pdf epub mobi txt 電子書 下載 2024
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.
本書分為兩部分,第一部分主要develop D-Module Theory 和 Perverse Sheaves, 以著名的 Riemann-Hilbert Correspondence 作結。因為對於同調論不熟悉,所以隻是很粗略地看瞭一下。第二部分講D-Modules在錶示論中的應用。重點介紹瞭 Borel-Weil-Bott Theorem 和 Beilinson-Bernstein Theorem。書寫得很technical,有的地方看不到 overall picture但還是一本令人愛不釋手的好書。
評分本書分為兩部分,第一部分主要develop D-Module Theory 和 Perverse Sheaves, 以著名的 Riemann-Hilbert Correspondence 作結。因為對於同調論不熟悉,所以隻是很粗略地看瞭一下。第二部分講D-Modules在錶示論中的應用。重點介紹瞭 Borel-Weil-Bott Theorem 和 Beilinson-Bernstein Theorem。書寫得很technical,有的地方看不到 overall picture但還是一本令人愛不釋手的好書。
評分use adjoint functor in a wrong way, very annoying. concrete computation, helpful.
評分use adjoint functor in a wrong way, very annoying. concrete computation, helpful.
評分本書分為兩部分,第一部分主要develop D-Module Theory 和 Perverse Sheaves, 以著名的 Riemann-Hilbert Correspondence 作結。因為對於同調論不熟悉,所以隻是很粗略地看瞭一下。第二部分講D-Modules在錶示論中的應用。重點介紹瞭 Borel-Weil-Bott Theorem 和 Beilinson-Bernstein Theorem。書寫得很technical,有的地方看不到 overall picture但還是一本令人愛不釋手的好書。
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D-Modules, Perverse Sheaves, and Representation Theory pdf epub mobi txt 電子書 下載 2024