Stark's Conjectures : Recent Work and New Directions free download eBook

Book Details:

• Author: David Burns
• Published Date: 16 Oct 2004
• Publisher: American Mathematical Society
• Original Languages: English
• Book Format: Paperback::221 pages, ePub
• ISBN10: 0821834800
• ISBN13: 9780821834800
• Dimension: 184.15x 260.35x 19.05mm::453.59g
Download: Stark's Conjectures : Recent Work and New Directions

At the conference 'Stark's conjectures: recent work and new directions' he gave the lecture Stickelberger functions for non-abelian Galois extensions of global fields. In fact the Stark conjectures, both in number fields and in function fields, became the area of mathematics that he worked on most intensely during the last part of his career. SIC-POVMs and the Stark conjectures arXiv doesn't like ancillary files whose filename contains "=" (only the last link on [this page][1] works). and conjectures concerning these symmetric power L-functions are described in [39] In Stark's conjectures: recent work and new directions. homology which is needed to formulate the Bloch-Kato conjecture. More precisely, Matthias Flach, The equivariant Tamagawa number conjecture: a survey, Stark's conjectures: recent work and new directions, Contemp. Math., vol. 358 TUBITAK Research Grant (2014-17); TUBITAK Career Research Grant (2010-13) Stark units and the main conjectures for totally real fields. Field) in the BIRS meeting "New directions in Iwasawa theory", that took place in June '16 at Banff.) Conference on Recent advances in the arithmetic of Galois Stark's Conjectures: Recent Work and New Directions. Proceedings of a conference held in Baltimore in Aug. 2002, Contemp. Math. 358, American Math. Soc. ant Tamagawa Number Conjectures (for short ETNC) as formulated Burns and Flach Stark's conjecture: recent work and new directions, Contemp. Math. Stark elements including a new family of integral congruence relations between Rubin-Stark elements (that refines recent conjectures of Mazur and Rubin work of several authors, this fact implies that LTC(K/k) is also unconditionally valid for mology that is conjectured to exist Lichtenbaum in [34], and in this direction. mit Otmar Venjakob: On descent theory and main conjectures in non-commutative Iwasawa theory, Journal of the Institute of Mathematics of Jussieu, Band 10, 2011, S. 59 118; Herausgeber mit C. Popescu, J. Sands, D. Solomon Stark's Conjectures: Recent Work and New Directions, Contemporary Mathematics, Band 358, 2004 (Konferenz Baltimore 2002) (2011). Papers. [1]. Elliptic curves with complex multiplication and the conjecture of Birch and. Swinnerton-Dyer Number Theory related to Fermat's last theorem, Progress in Math. 26, Boston: Stark units and Kolyvagin's Euler systems,J. Für die reine und angew. Math. Work and New Directions, Contemp. Math. 358 Keywords: Number fields, Stark conjectures, icosahedral Galois representations, Artin L- ing L-functions at s = O. Finally, in the last section, we describe the we work in this paper using either results of Kiming and. Wang [Kiming and 12 (2003), No.4. In the reverse direction, if New York: Springer-Verlag, 1993. M. Flach, The equivariant Tamagawa number conjecture: a survey. With an appendix C. Greither. In Stark's conjectures: recent work and new directions. The equivariant Tamagawa number conjecture: a survey. In Stark's conjectures: recent work and new directions, volume 358 of Contemp. Math., pages 79 125. conjectures have been phrased in the language of quadratic fields. This is how STARK think the second approaches to each problem will ultimately work. The future, Dirichlet discovered that every primitive real character corresponds to a the class-number one problem was solved Baker [Bak66] and Stark [Sta67]. Buy Stark's Conjectures: Recent Work and New Directions (Contemporary Mathematics) book online at best prices in India on. closely connected to the Stark conjectures over real quadratic fields. This work was partially supported NSF grant DMS-1401224, NSF grant Apple, Flammia, McConnell, and Yard [5, 6] recently discovered an empirical New Directions: An International Conference on Stark's Conjectures and Erickson, Stefan. An Extension of the First-Order Stark Conjecture. Rocky Mountain J. Math. 39 (2009), no. 3, 765 -787. Doi:10.1216/RMJ-2009-39-3-765. (What can we see more than the main conjecture in Iwasawa theory?) Beijing International Center for Mathematical Research, Beijing, China; Shanghai New Directions in Iwasawa Theory, June 26- July 1, 2016, Banff, Alberta, Canada An explicit week: on the recent development of Kato's Euler systems and explicit work with the motive M = hi(X)(n) with coefficients in Q, which we can think of as being a system of realizations. We then have In Stark's conjectures: recent work and new directions, volume 358 of Contemp. Math., pages 79 125. Amer. Stark's conjectures on the behavior of $L$-functions were formulated in the 1970s. Since then, these conjectures and their generalizations have been actively new result is a proof of the 2-primary part of this conjecture for Tate-motives over abelian fields. On Stark's conjecture, Johns Hopkins University, Baltimore, August 5-9, 2002. We Section 3 is joint work with D. Burns (for which [14], [15], [16], [17] are the main last space is finite dimensional the Mordell-Weil theorem. Stark's conjectures on the behavior of USDLUSD-functions were formulated in the 1970s. Since then, these conjectures and their generalizations have been

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