Modular Forms and Algebraic K-theory
نویسنده
چکیده
In this paper, which follows closely the talk given at the conference, I will sketch an example of a non-trivial element of K2 of a certain threefold, whose existence is related to the vanishing of an incomplete L-function of a modular form at s = 1. To explain how this fits into a general picture, we begin with a simple account, for the non-specialist, of some of the conjectures (mostly due to Beilinson) which relate ranks of K-groups and orders of L-functions, supplemented by examples coming from modular forms. The picture presented is in some respects wildly distorted; among the important topics which are given little mention are:
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