Arithmetic Geometry over Global Function Fields

Name: Arithmetic Geometry over Global Function Fields
Brand: Springer Basel
SKU: 9783034808521
Price: 51.88 EUR
Availability: InStock

Автор: Gebhard Böckle, David Burns, David Goss, Dinesh Thakur, Fabien Trihan, Douglas Ulmer, Francesc Bars, Ignazio Longhi, Fabien Trihan

Език:

Корици: С меки корици

Издател: Springer Basel

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This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2...

Информация за книгата

Автор

Gebhard Böckle, David Burns, David Goss, Dinesh Thakur, Fabien Trihan, Douglas Ulmer, Francesc Bars, Ignazio Longhi, Fabien Trihan

Език

Английски език

Корици

Книга - С меки корици

Издадена

2014

страници

337

EAN

9783034808521

ISBN

3034808526

Enbook ID

02723433

Издател

Springer Basel

Теглоt

669

Размери

168 x 240 x 15

Пълно описание

This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All of them deal with characteristic p global fields; the common theme around which they are centered is the arithmetic of L-functions (and other special functions), investigated in various aspects. Three courses examine some of the most important recent ideas in the positive characteristic theory discovered by Goss (a field in tumultuous development, which is seeing a number of spectacular advances): they cover respectively crystals over function fields (with a number of applications to L-functions of t-motives), gamma and zeta functions in characteristic p, and the binomial theorem. The other two are focused on topics closer to the classical theory of abelian varieties over number fields: they give respectively a thorough introduction to the arithmetic of Jacobians over function fields (including the current status of the BSD conjecture and its geometric analogues, and the construction of Mordell-Weil groups of high rank) and a state of the art survey of Geometric Iwasawa Theory explaining the recent proofs of various versions of the Main Conjecture, in the commutative and non-commutative settings.

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Arithmetic Geometry over Global Function Fields

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