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关键词:
Langlands Correspondence for Loop Groups
书目信息
ISBN:
9780521854436(13位)
中图分类号:
O1
杜威分类号:
中文译名:
环群Langlands对应
作者:
Edward Frenkel
编者:
语种:
English
出版信息
出版社:
Cambridge University Press
出版地:
出版年:
2007
版本:
版本类型:
原版
丛书题名:
卷期:
文献信息
关键词:
algebra, geometry, topology
前言:
摘要:
内容简介:
The Langlands Program was conceived initially as a bridge between Number Theory and Automorphic Representations, and has now expanded into such areas as Geometry and Quantum Field Theory, tying together seemingly unrelated disciplines into a web of tantalizing conjectures. A new chapter to this grand project is provided in this book. It develops the geometric Langlands Correspondence for Loop Groups, a new approach, from a unique perspective offered by affine Kac-Moody algebras. The theory offers fresh insights into the world of Langlands dualities, with many applications to Representation Theory of Infinite-dimensional Algebras, and Quantum Field Theory. This accessible text builds the theory from scratch, with all necessary concepts defined and the essential results proved along the way. Based on courses taught at Berkeley, the book provides many open problems which could form the basis for future research, and is accessible to advanced undergraduate students and beginning graduate students.
目次:
Preface; 1. Local Langlands Correspondence; 2. Vertex algebras; 3. Constructing central elements; 4. Opers and the center for a general Lie algebra; 5. Free field realization; 6. Wakimoto modules; 7. Intertwining operators; 8. Identification of the center with functions on opers; 9. Structure of bg-modules of critical level; 10. Constructing the local Langlands Correspondence; Appendix; References.
附录:
全文链接:
读者对象:
graduate students, academic researchers
实体信息
页码:
395
装帧:
Hardback
尺寸:
其它形态细节:
其它信息
原价:
USD
85.0000
原版ISBN:
其它ISBN:
图书特色:
书评:
扩展信息
Isbn:
0521854431
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