[PDF.57fl] Elliptic Curves and Big Galois Representations (London Mathematical Society Lecture Note Series)
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Elliptic Curves and Big Galois Representations (London Mathematical Society Lecture Note Series)
Daniel Delbourgo
[PDF.ss84] Elliptic Curves and Big Galois Representations (London Mathematical Society Lecture Note Series)
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| #6834849 in Books | Cambridge University Press | 2008-09-01 | Original language:English | PDF # 1 | 8.98 x.59 x5.98l,.92 | File type: PDF | 288 pages | |||"This research monograph contains much that has not been published elsewhere, and will be useful for specialists in the field who want to catch up on the author's work." Neil P. Dummigan, Mathematical s|About the Author
The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a generalisation of the method of Euler systems to a two-variable deformation ring. The resulting theory is then used to study the arithmetic of elliptic curves, in particular the Birch and Swinnerton-Dyer (BSD) formula. Three main steps are outlined: the first is to parametrise 'big' cohomology groups using (deformations of) modular symbols. Finite...
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