Non-abelian Fundamental Groups and Iwasawa Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-abelian Fundamental Groups and Iwasawa Theory write by John Coates. This book was released on 2011-12-15. Non-abelian Fundamental Groups and Iwasawa Theory available in PDF, EPUB and Kindle. This book describes the interaction between several key aspects of Galois theory based on Iwasawa theory, fundamental groups and automorphic forms. These ideas encompass a large portion of mainstream number theory and ramifications that are of interest to graduate students and researchers in number theory, algebraic geometry, topology and physics.
Non-abelian Fundamental Groups and Iwasawa Theory
Non-abelian Fundamental Groups and Iwasawa Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-abelian Fundamental Groups and Iwasawa Theory write by John Coates. This book was released on 2011. Non-abelian Fundamental Groups and Iwasawa Theory available in PDF, EPUB and Kindle. Displays the intricate interplay between different foundations of non-commutative number theory.
Elliptic Curves, Modular Forms and Iwasawa Theory
Elliptic Curves, Modular Forms and Iwasawa Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic Curves, Modular Forms and Iwasawa Theory write by David Loeffler. This book was released on 2017-01-15. Elliptic Curves, Modular Forms and Iwasawa Theory available in PDF, EPUB and Kindle. Celebrating one of the leading figures in contemporary number theory – John H. Coates – on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois representations. Several of the contributions in this volume were presented at the conference Elliptic Curves, Modular Forms and Iwasawa Theory, held in honour of the 70th birthday of John Coates in Cambridge, March 25-27, 2015. The main unifying theme is Iwasawa theory, a field that John Coates himself has done much to create. This collection is indispensable reading for researchers in Iwasawa theory, and is interesting and valuable for those in many related fields.
Iwasawa Theory 2012
Iwasawa Theory 2012 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Iwasawa Theory 2012 write by Thanasis Bouganis. This book was released on 2014-12-08. Iwasawa Theory 2012 available in PDF, EPUB and Kindle. This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto. The meeting aims to bring together different strands of research in and closely related to the area of Iwasawa theory. During the week before the conference in a kind of summer school a series of preparatory lectures for young mathematicians was provided as an introduction to Iwasawa theory. Iwasawa theory is a modern and powerful branch of number theory and can be traced back to the Japanese mathematician Kenkichi Iwasawa, who introduced the systematic study of Z_p-extensions and p-adic L-functions, concentrating on the case of ideal class groups. Later this would be generalized to elliptic curves. Over the last few decades considerable progress has been made in automorphic Iwasawa theory, e.g. the proof of the Main Conjecture for GL(2) by Kato and Skinner & Urban. Techniques such as Hida’s theory of p-adic modular forms and big Galois representations play a crucial part. Also a noncommutative Iwasawa theory of arbitrary p-adic Lie extensions has been developed. This volume aims to present a snapshot of the state of art of Iwasawa theory as of 2012. In particular it offers an introduction to Iwasawa theory (based on a preparatory course by Chris Wuthrich) and a survey of the proof of Skinner & Urban (based on a lecture course by Xin Wan).
Rational Points and Arithmetic of Fundamental Groups
Rational Points and Arithmetic of Fundamental Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rational Points and Arithmetic of Fundamental Groups write by Jakob Stix. This book was released on 2012-10-19. Rational Points and Arithmetic of Fundamental Groups available in PDF, EPUB and Kindle. The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group. While the conjecture is still open today in 2012, its study has revealed interesting arithmetic for curves and opened connections, for example, to the question whether the Brauer-Manin obstruction is the only one against rational points on curves. This monograph begins by laying the foundations for the space of sections of the fundamental group extension of an algebraic variety. Then, arithmetic assumptions on the base field are imposed and the local-to-global approach is studied in detail. The monograph concludes by discussing analogues of the section conjecture created by varying the base field or the type of variety, or by using a characteristic quotient or its birational analogue in lieu of the fundamental group extension.
