Laurent Berger Livres

"The most respected researchers in the social sciences in France were each invited to write an essay presenting a book of interest, significance, and influence in the social sciences for a general readership, addressing its contributions and impact as well as its shortcomings, the lingering questions it leaves, and the work remaining to be done, to offer a new, nuanced portrait of the field's foundations"-- Provided by publisher

The notes in this volume correspond to advanced courses given at the Centre de Recerca Matemàtica (Bellaterra, Barcelona, Spain) as part of the Research Programme in Arithmetic Geometry in the 2009-2010 academic year. They are now available in printed form due to the many requests received by the organizers to make the content of the courses publicly available. The material covers the theory of p-adic Galois representations and Fontaine rings, Galois deformation theory, arithmetic and computational aspects of Hilbert modular forms, and the parity conjecture for elliptic curves -- publisher's website.