Modularity theorem: Difference between revisions

Revision as of 09:10, 2 February 2004

Revision as of 20:09, 23 February 2004

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* Henri Darmon: ''[http://www.ams.org/notices/199911/comm-darmon.pdf A Proof of the Full Shimura-Taniyama-Weil Conjecture Is Announced]'', Notices of the American Mathematical Society, Vol. 46 (1999), No. 11. Contains a gentle introduction to the theorem and an outline of the proof.

* Brian Conrad, Fred Diamond, Richard Taylor: ''Modularity of certain potentially Barsotti-Tate Galois representations'', Journal of the American Mathematical Society 12 (1999), pp. 521–567. Contains the proof.

== Some notation ==

'''Q''' denotes the field of [[rational number]]s.<BR>

'''F'''_''p'' is also called a [[Evariste Galois|Galois]] [[field]].