Name: the arithmetic of fundamental groups (en Francés)
Price: 104.20 USD
Availability: InStock
Author: Stix, Jakob
ISBN: 9783642239045

portada the arithmetic of fundamental groups (en Francés)

Formato

Libro Físico

Ilustrado por

Jakob Stix

Editorial

Springer

Autor

Stix, Jakob

Idioma

Francés

N° páginas

380

Encuadernación

Tapa Dura

Dimensiones

23.4 x 15.5 x 2.5 cm

Peso

0.68 kg.

ISBN

3642239048

ISBN13

9783642239045

Categorías

Teoría de números
Geometría algebraica
Topología

the arithmetic of fundamental groups (en Francés)

Jakob Stix (Ilustrado por) · Springer · Tapa Dura

Libro Físico

$ 104.20

$ 109.99

Ahorras: $ 5.79

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Reseña del libro "the arithmetic of fundamental groups (en Francés)"

In the more than 100 years since the fundamental group was first introduced by Henri Poincaré it has evolved to play an important role in different areas of mathematics. Originally conceived as part of algebraic topology, this essential concept and its analogies have found numerous applications in mathematics that are still being investigated today, and which are explored in this volume, the result of a meeting at Heidelberg University that brought together mathematicians who use or study fundamental groups in their work with an eye towards applications in arithmetic. The book acknowledges the varied incarnations of the fundamental group: pro-finite, ℓ-adic, p-adic, pro-algebraic and motivic. It 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 with monodromy, and relative pro-algebraic completions, to a motivic version of Minhyong Kim's non-abelian Chabauty method and p-adic integration after Coleman. The editor has also included the abstracts of all the talks given at the Heidelberg meeting, as well as the notes on Coleman integration and on Grothendieck's fundamental group with a view towards anabelian geometry taken from a series of introductory lectures given by Amnon Besser and Tamás Szamuely, respectively.