Memoirs of the American Mathematical Society 2002; 90 pp; softcover Volume: 157 ISBN10: 0821829289 ISBN13: 9780821829288 List Price: US$59 Individual Members: US$35.40 Institutional Members: US$47.20 Order Code: MEMO/157/748
 This paper concerns the relation between the Lifted Root Number Conjecture, as d introduced in [GRW2], and a new equivariant form of Iwasawa theory. At d present, a main conjecture of equivariant Iwasawa theory is formulated, and d its equivalence to the Lifted Root Number Conjecture is shown subject to the validity of a semilocal d version of the Root Number Conjecture, which itself is proved in the case of a d tame extension of real abelian fields. Readership Graduate students and research mathematicians interested in number theory. Table of Contents  Introduction
 The Tripod
 Restriction, deflation; change of maps, and variance with \(S\)
 Definition of \(\mho_S\); \(\Omega_\Phi\) as a shadow of \(\mho_S\)
 \(\mho_S\) over the maximal order in the case when \(G\)is abelian
 Local considerations
 Towards a representing homomorphism for \(\Omega_{\varphi_{\mathcal L}}\)
 Real cyclotomic extensions tame over \(l\)
 References
