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Re: Tautologies, math, and Wiles's work
Posted:
Jun 20, 2003 6:08 PM


nevermind. let's start another item!
tchow@lsa.umich.edu wrote in message news:<3ef34a55$0$3963$b45e6eb0@senatorbedfellow.mit.edu>... > But the fault lies not with Wiles or other "establishment mathematicians," > since they haven't claimed that elliptic curves and modular forms are the > same thing. > That's all correct, except that the part about "4 descriptors between > them" is not precise. The "4 descriptors" are properties of *Galois > representations*, not of elliptic curves or modular forms per se. To > an elliptic curve one can associate a Galois representation, and to a > modular form one can associate a Galois representation. Then we can > talk about comparing Galois representations to each other. One does > not directly identify an elliptic curve with a modular form anywhere. > I don't follow you here. If I want to prove that every integer is > an algebraic integer, how do I do this without mentioning algebraic > integers?
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