Download Non-abelian Fundamental Groups and Iwasawa Theory (London by John Coates,Minhyong Kim,Florian Pop,Mohamed Saïdi,Peter PDF

By John Coates,Minhyong Kim,Florian Pop,Mohamed Saïdi,Peter Schneider

quantity thought at the moment has at the very least 3 assorted views on non-abelian phenomena: the Langlands programme, non-commutative Iwasawa idea and anabelian geometry. within the moment 1/2 2009, specialists from each one of those 3 components accumulated on the Isaac Newton Institute in Cambridge to provide an explanation for the most recent advances of their examine and to enquire attainable avenues of destiny research and collaboration. For these in attendance, the overpowering influence used to be that quantity thought goes via a tumultuous interval of theory-building and experimentation analogous to the overdue nineteenth century, whilst many various exact reciprocity legislation of abelian classification box concept have been formulated ahead of wisdom of the Artin–Takagi thought. Non-abelian primary teams and Iwasawa concept provides the cutting-edge in theorems, conjectures and speculations that time the best way in the direction of a brand new synthesis, an as-yet-undiscovered unified conception of non-abelian mathematics geometry.

Show description

Read Online or Download Non-abelian Fundamental Groups and Iwasawa Theory (London Mathematical Society Lecture Note Series) PDF

Similar number theory books

Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads

The ebook offers a self-contained advent to classical Number concept. the entire proofs of the person theorems and the options of the workouts are being provided step-by-step. a few ancient comments also are awarded. The ebook may be directed to complex undergraduate, starting graduate scholars in addition to to scholars who arrange for mathematical competitions (ex.

Elementary Dirichlet Series and Modular Forms (Springer Monographs in Mathematics)

A ebook on any mathematical topic past the textbook point is of little price until it comprises new rules and new views. It is helping to incorporate new effects, only if they provide the reader new insights and are awarded in addition to identified previous ends up in a transparent exposition. it really is with this philosophy that the writer writes this quantity.

Zeta and eta functions: A new hypothesis

Euler-Riemann’s zeta and Dirichlet’s eta features are outlined for genuine unfavourable numbers as analytic continuation. within the current publication the writer defines new sequence for zeta and eta services, for actual detrimental and imaginary numbers with out analytic continuation. the recent zeta and eta capabilities keep the nature of harmonic sequence and alternating harmonic sequence respectively for actual damaging numbers, as for genuine optimistic numbers.

Computation with Linear Algebraic Groups (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Designed as a self-contained account of a couple of key algorithmic difficulties and their suggestions for linear algebraic teams, this booklet combines in a single unmarried textual content either an creation to the elemental concept of linear algebraic teams and a considerable choice of helpful algorithms. Computation with Linear Algebraic teams deals a useful consultant to graduate scholars and researchers operating in algebraic teams, computational algebraic geometry, and computational staff concept, in addition to these trying to find a concise creation to the idea of linear algebraic teams.

Additional info for Non-abelian Fundamental Groups and Iwasawa Theory (London Mathematical Society Lecture Note Series)

Sample text

Download PDF sample

Rated 4.54 of 5 – based on 49 votes