Around Grothendieck's Esquisse d'un programme
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.
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abelian algebraic closure algebraic curve algebraic geometry anabelian analytic Artin braid groups automorphism group Belyi bien braid groups c'est characteristic subgroups cohomology combinatorial compact compute conjecture consider construction context corresponding courbes algebriques d'ordre d'une defined denote dessin devissage dimension doute elements equivalence espaces Esquisse etale exact sequence fait field of definition field of moduli fini finite group finite index fundamental group G-Galois Gal(Q/Q Galois action Galois group genus g geometrie algebrique Grothendieck groupoids GT-action GT-orbit homomorphisms homotopy type hypercovering infinity inverse isomorphic j'ai Lemma mapping class groups marked points Math meme Mg,n moderee modular groups moduli spaces morphisms ni(X normal subgroup notion number field pair polyedres reguliers profinite completion profinite groups projective proof qu'il question quotient reflexion relations Riemann surfaces Schneps stratified structure subset tangential base points Teichmiiller Teichmuller Tg,n Theorem theory topologique topology tout travail varieties