2 edition of **Guwahati Workshop on Iwasawa Theory of Totally Real Fields** found in the catalog.

Guwahati Workshop on Iwasawa Theory of Totally Real Fields

Guwahati Workshop on Iwasawa Theory of Totally Real Fields (2008 Indian Institute of Technology, Guwahati)

- 117 Want to read
- 16 Currently reading

Published
**2010**
by Ramanujan Mathematical Society in Mysore
.

Written in English

- Iwasawa theory,
- Congresses

**Edition Notes**

Includes bibliographical references.

Statement | volume editors, J. Coates, C.S. Dalawat, A. Saikia and R. Sujatha |

Series | Lecture notes series / Ramanujan Mathematical Society -- number 12 |

Contributions | Coates, J., editor of compilation, Ramanujan Mathematical Society |

Classifications | |
---|---|

LC Classifications | QA247.3 .G+ |

The Physical Object | |

Pagination | 140 pages ; |

Number of Pages | 140 |

ID Numbers | |

Open Library | OL25328318M |

ISBN 10 | 9789380416021 |

LC Control Number | 2010317403 |

In this issue p Photonics p Seminar/Conference/Workshop/ Invited Talk p PanIIT Conclave p Publications (Research Journal/Book/Book Chapter) p Campus Placement p World Philosophy Day p Annual Lecture p Memoranda of Understanding Proceedings of Workshop on Iwasawa Theory of Totally Real Fields, Ramanujan Mathematical Society, 12, Guwahati Workshop on Iwasawa Theory of Totally Real Fields, Ramanujan Mathe- matical Society, pp, , Lecture Notes Series. hal FittingIdeals.

Check out Otmar Venjakob thesis, and his papers, to have an idea of non commutative Iwasawa theory. About books I'd definitely have in my library Cyclotomic Fields and Zeta Values. Also Ralph Greenberg has been working on a book on Iwasawa theory, and I . Mini-workshop on Iwasawa theory Date April 3 (Sat) - 5(Mon), Location in Selmer groups in terms of L-values. After a quick review of Wiles' proof of the main conjecture for GL(1) over totally real fields, we willl talk about the main conjecture for CM elliptic curves over general totally real fields for which one needs to study.

Abstract. These notes are aimed at providing a not too technical introduction to both the background from classical Iwasawa theory for, as well as a detailed discussion of, the principal result (see Theorem ) of Mahesh Kakde’s fundamental paper [K1] proving, subject to the Iwasawa conjecture, the non-commutative main conjecture for totally real p-adic Lie extensions of a number by: 3. Fitting Ideals, in "Guwahati Workshop on Iwasawa Theory of Totally Real Fields" Lecture Notes in Mathemat Ramanujan Mathematical Society On Jacobi Sums in Q(ζp)Title: Lecturer in Mathematics.

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The “main conjecture” of cyclotomic Iwasawa theory over totally real base ﬁelds. This workshop was part of a series of schools and workshops organized in various parts of India each Guwahati Workshop on Iwasawa Theory of Totally Real Fields book, called “Advanced Training in Mathematics Schools”, which are gene-rously supported by the National Board for Higher Mathematics (NBHM).

The Orga. The Iwasawa theory of totally real fields From the workshop on the Iwasawa theory of totally real fields, held at the Indian Institute of Technology, Guwahati, September Ramanujan Lecture Notes Series, Vol. The Iwasawa theory of totally real fields (Ramanujan Mathematical Society Lecture Notes) by (Author) ISBN ISBN Why is ISBN important.

ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. Price: $ Number 12 Guwahati Workshop on Iwasawa Theory of Totally Real Fields postedAM by RMS Administrator [ updatedPM ].

Guwahati Workshop on Iwasawa Theory of Totally Real Fields () 12, Galois cohomology of elliptic curves. JH Coates, R Sujatha () 91, Root numbers, selmer groups, and non-commutative Iwasawa theory. J Coates, T Fukaya, K Kato, R Sujatha – Journal of Algebraic Geometry Department of Pure Mathematics and Mathematical Statistics Centre.

Guwahati Workshop on Iwasawa Theory of Totally Real Fields No. 12,pp. 49– Ribet’s Construction of a Suitable Cusp Eigenform A. Saikia Department of Mathematics, IIT Guwahati, GuwahatiIndia e-mail: @ Abstract.

The aim of this article to give a self-contained exposition on Ribet’s con. Coates and Sujatha, The main conjecture, Guwahati Workshop on Iwasawa Theory of Totally Real Fields,Ramanujan Math. Soc.

Lect. Notes Ser., 12, Ramanujan Math. Soc., Mysore, (sketches the proof of the cyclotomic main conjecture via modular forms). Guwahati Workshop on Iwasawa theory of totally real fields, Ramanujan Mathematical Society Lecture Notes Series {\bf 12} (), pp.~ Cite as: arXiv []Cited by: 1.

Guwahati Workshop on Iwasawa Theory of Totally Real Fields () 12, Galois cohomology of elliptic curves. JH Coates, R Sujatha () 91, Root numbers, selmer groups, and non-commutative Iwasawa theory. J Coates, T Fukaya, K Kato, R Sujatha – Journal of Algebraic Geometry () 19, Buy The Iwasawa Theory of Totally Real Fields: From the Workshop on the Iwasawa Theory of Totally Real Fields, Held at the Indian Institute of Technology, Mathematical Society Lecture Notes) by J.

Coates, C. Dalawat, A. Saikia, R. Sujatha (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible : Paperback. The Iwasawa main conjecture over Q was proved by Mazur and Wiles, and over totally real fields by Wiles in (Wil90).

Suppose K is an imaginary quadratic field and E is an elliptic curve over a number field F with complex multiplication by the ring of integers in K.

Let p be a rational prime that splits as p 1 p 2 in K. Let E pn denote the p n-division points on E. Assume that F(E pn) is abelian over K for all n ≥ 0. (1,5 meetings) In this talk and the next we develop the needed theory of Hida families (or ⁄-adic modular forms) and the theory of pseudo-representations that we need for Wiles’ proof of the main conjecture.

The main reference for these two talks are the book of Hida [8] (chapter 7) and the introductory paper [1]. In number theory, Iwasawa theory is the study of objects of arithmetic interest over infinite towers of number fields. It began as a Galois module theory of ideal class groups, initiated by Kenkichi Iwasawa, as part of the theory of cyclotomic fields.

In the early s, Barry Mazur considered generalizations of Iwasawa theory to abelian varieties. More recently, Ralph Greenberg has proposed an Iwasawa theory. Lambda-adic forms and the Iwasawa main conjecture (joint with D. Banerjee and E. Ghate), Guwahati Workshop on Iwasawa Theory of Totally Real Fields, Ramanujan Math.

Soc. Banerjee, D., Ghate, E. and Narasimha Kumar, V. G., Λ-adic forms and the Iwasawa main conjecture, in Guwahati Workshop on Iwasawa Theory of Totally Real Fields, Ramanujan Mathematical Society Lecture Notes Series, vol. 12 (Ramanujan Mathematical Society, Mysore, ), 15 – • September Guwahati Workshop on Iwasawa Theory of Totally Real Fields (Guwahati, India), two introductory courses on Fitting Ideals • 09/06/ Number ﬁelds, lattices and curves (Cetraro, Italy), Cyclotomic units and class groups.

This book provides a readable introduction to local class field theory, a theory of algebraic extensions. It covers abelian extensions in particular of so-called local fields, typical examples of which are the p-adic number fields. The book is almost self-contained and is accessible to any reader with a basic background in algebra and topological groups.

Non-commutative Iwasawa theory has emerged dramatically over the last decade, culminating in the recent proof of the non-commutative main conjecture for the Tate motive over a totally real p-adic Lie extension of a number field, independently by Ritter and Weiss on the one hand, and Kakde on the other.

The purpose of this paper is to prove the main conjecture of non-commutative Iwasawa theory for p-adic Lie extensions, for an odd prime p, of totally real number fields assuming that the Iwasawa mu invariant of a certain totally real number field vanishes. Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share .3.

Fitting Ideals, in J. Coates, C. S. Dalawat, A. Saikia and Sujatha R. (eds), \Guwahati Workshop on Iwasawa Theory of Totally Real Fields", Ramanujan Mathematical Society, Mumbai, () 4. Cyclotomic Units and Class groups in Z p-extensions of real .Local Class Field Theory (Oxford Mathematical Monographs) Kenkichi Iwasawa (Author) › Visit Amazon's Kenkichi Iwasawa Page.

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