Abstract

The aim of the conference is to explain the formulation of the Tamagawa number conjecture by Bloch and Kato, and the proof of this conjecture for Dirichlet motives. The background necessary for the formulation of the conjecture is explained by the main speakers, in eight series of talks (A–H). Series Z consists of talks by the participants (model: Arbeitsgemeinschaft Oberwolfach – thus, the subjects of these talks have been fixed in advance; see the program below). These talks will provide certain details of the general theory entering the proof for Dirichlet motives. Preferably, the speakers will not be experts in the field. Graduate students and post-docs are particularly encouraged to participate, and to apply for one of the talks of the series Z. In order to do so, write an e-mail to tamagawa@math.univ-paris13.fr, and establish a list of 3 talks (order of preference), each of which you would be ready to prepare (please do so before February 28). Instead of writing an e-mail, you may use the registration form on the conference home page

Citations

294	Introduction to Analytic Number Theory - Apostol - 1976
212	Introduction to Elliptic Curves and Modular Forms - Koblitz - 1984
92	Higher regulators and values of L-functions - Beilinson - 1985
89	Triangulated categories of motives over a field in “Cycles, transfer and motivic homology theories - Voevodsky - 2000
71	L-functions and Tamagawa numbers of motives - Bloch, Kato - 1990
47	certains types de représentations p-adiques du groupe de Galois d’un corps local; construction d’un anneau de Barsotti-Tate - Fontaine, Sur - 1982
28	Deligne P, Interprétation motivique de la conjecture de Zagier - Beilinson - 1994
21	On the equivariant Tamagawa number conjecture for Tate motives - Burns, Greither
19	Classical Motivic Polylogarithm According to Beilinson and Deligne - Huber, Wildeshaus - 1998
16	An overview of recent advances in Hodge theory,” Several complex variables - Brylinski, Zucker - 1990
16	Realization of Voevodsky’s motives - Huber - 2004
14	On higher p-adic regulators - Soulé - 1981
11	Valeurs spéciales de fonctions L des motifs, Séminaire Bourbaki, exposé 751, Astérisque 206 - Fontaine - 1992
11	p-adic point of motives - Schneider - 1994
10	Über gewisse Galoiscohomologiegruppen - Schneider - 1979
8	et P. Colmez, Théorie d’Iwasawa des représentations p-adiques d’un corps local - Cherbonnier - 1999
5	Introduction to cyclotomic fields, GTM 83 - Washington - 1997
3	The classical polylogarithm, abstract of a series of lectures given at the workshop on polylogs in Essen - Huber, Wildeshaus - 1997
3	Iwasawa theory and p-adic Hodge theory”, Kodai Math - Kato - 1993
3	The Bloch-Kato conjecture on special values of L-functions. A survey of known results Journal de théorie des nombres de - Kings
3	Théorie d’Iwasawa et hauteurs p-adiques Invent - Perrin-Riou - 1992
1	Le corps des périodes p-adiques”, Exp - Fontaine - 1994
1	Représentations p-adiques semi-stables”, Exp. III, Asterisque 223 - Fontaine - 1994