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The arithmetic of fundamental groups : PIA 2010

Author: Jakob Stix
Publisher: Heidelberg ; New York : Springer-Verlag Berlin Heidelberg, ©2012.
Series: Contributions in mathematical and computational sciences, v. 2.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Database:WorldCat
Summary:
This book acknowledges the varied incarnations of the fundemental group: pro-finite, L-adic, p-adic, pro-algebraic and motivic. It explores a weaelth of topics that range from anabelian geometry (in particular the section conjecture), the L-adic polylogarithm, gonality questions of mudular curves, vector bundles in connection with monodromy, and relative pro-algebraic completions, to a motivic version of Minhyong  Read more...
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Genre/Form: Electronic books
Conference proceedings
Congresses
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jakob Stix
ISBN: 9783642239052 3642239056
OCLC Number: 773812353
Description: 1 online resource (xii, 380 p.)
Contents: Part I Heidelberg Lecture Notes: 1 Heidelberg lectures on Coleman integration by A.Besser.- 2 Heidelberg lectures on fundamental groups by T. Szamuely.- Part II The Arithmetic of Fundamental Groups: 3 Vector bundles trivialized by proper morphisms and the fundamental group scheme, II by I. Biswas and J.P.P. dos Santos.- 4 Note on the gonality of abstract modular curves by A. Cadoret.- 5 The motivic logarithm for curves by G.Faltings.- 6 On a motivic method in diophantine geometry by M.Hadian.- 7 Descent obstruction and fundamental exact sequence by D. Harari and J. Stix.- 8 On monodromically full points of configuration spaces of hyperbolic Curves by Y.Hoshi.- 9 Tempered fundamental group and graph of the stable reduction by E.Lepage.- 10 Z/ abelian-by-central Galois theory of prime divisors by F.Pop.- 11 On -adic pro-algebraic and relative pro- fundamental groups by J.P.Pridham.- 12 On 3-nilpotent obstructions to pi_1 sections for ^1-_ -{0,1, } by K.Wickelgren.- 13 Une remarque sur les courbes de Reichardt-Lind et de Schinzel by O.Wittenberg.- 14 On -adic iterated integrals V : linear independence, properties of -adic polylogarithms, -adic sheaves by Z. Wojtkowiak.- Workshop Talks
Series Title: Contributions in mathematical and computational sciences, v. 2.
Responsibility: Jakob Stix, editor.
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Abstract:

Explores a wealth of topics that range from anabelian geometry (in particular the section conjecture), the l-adic polylogarithm, gonality questions of modular curves, vector bundles in connection  Read more...

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