Title Stark's Conjectures : Recent Work and New Directions

Published Providence : American Mathematical Society, 2004

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Description 1 online resource (234 pages) Series Contemporary Mathematics ; v. 358 Contemporary Mathematics Contents Contents -- Preface -- List of Participants -- Rubin's integral refinement of the abelian Stark conjecture -- Computations related to Stark's conjecture -- Arithmetic annihilators and Stark-type conjectures -- The equivariant Tamagawa number conjecture: A survey -- Part 1: The Tamagawa Number Conjecture in the formulation of Fontaine and Perrin-Riou -- 1. The setup -- 2. Periods and Regulators -- 3. Galois cohomology -- Part 2: The Equivariant Refinement -- 4. Commutative Coefficients -- 5. Proven cases -- Part 3: Determinant Functors: Some Algebra 6. Noncommutative Coefficients7. The Stark Conjectures -- APPENDIX: On the vanishing of Âæ-invariants -- References -- Popescu's conjecture in multi-quadratic extensions -- Abelian conjectures of Stark type in Zp-extensions of totally real fields -- The derivative of p-adic Dirichlet series at s = 0 -- Refining Gross's conjecture on the values of abelian L-functions -- Stickelberger functions for non-abelian Galois extensions of global fields -- Introduction to Kolyvagin systems Notes English Print version record Subject Stark's conjectures -- Congresses Stark's conjectures Genre/Form Conference papers and proceedings Form Electronic book Author Popescu, Cristian Sands, Jonathan ISBN 9780821879481 0821879480

Other Titles Contemporary Mathematics Contemporary Mathematics, Volume 358 Stark's Conjectures: Recent Work and New Directions Stark's conjectures: recent work and new directions : an international conference on Stark's conjectures and related topics, August 5-9, 2002, Johns Hopkins University

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