Geometric Galois Actions: Volume 1, Around Grothendieck’s Esquisse d’un Programme (London Mathematical Society Lecture Note Series, Series Number 242) 1st Edition by Leila Schneps (PDF)

Description

The first of two volumes on anabelian algebraic geometry, this book contains the famous manuscript “Esquisse d’un Programme” (Sketch of a Program) by Alexander Grothendieck. This work, written fourteen years after his retirement from public life in mathematics, includes the closely related letter to Gerd Faltings, published for the first time in this volume. Together these documents describe a powerful program of future mathematics, unifying aspects of geometry and arithmetic via the central point of moduli spaces of curves. The book is written in an artistic and informal style. It contains several articles on subjects directly related to the ideas explored in the manuscripts, including surveys of mathematics due to Grothendieck, explanations of points raised in the Esquisse, and surveys on progress in the domains described there.

User’s Reviews

Editorial Reviews: Review ‘These two volumes, containing both gentle introductions and research papers dealing with various aspects of Grothendieck’s Esquisse, represent not only invaluable resources but also matière à rêver.’ Monatshefte für Mathematik Book Description Contains Grothendieck’s previously unpublished manuscript ‘Esquisse d’un Programme’ and related papers.

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