Computational Arithmetic Geometry: Ams Special Session on Computational Arithmetic Geometry, April 29-30, 2006, San Francisco State University, San Francisco, CA Kristin Lauter

ISBN: 9780821843208

Published: December 2nd 2008

Paperback

129 pages


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Computational Arithmetic Geometry: Ams Special Session on Computational Arithmetic Geometry, April 29-30, 2006, San Francisco State University, San Francisco, CA  by  Kristin Lauter

Computational Arithmetic Geometry: Ams Special Session on Computational Arithmetic Geometry, April 29-30, 2006, San Francisco State University, San Francisco, CA by Kristin Lauter
December 2nd 2008 | Paperback | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | 129 pages | ISBN: 9780821843208 | 8.20 Mb

With the recent increase in available computing power, new computations are possible in many areas of arithmetic geometry. To name just a few examples, Cremonas tables of elliptic curves now go up to conductor 120,000 instead of just conductorMoreWith the recent increase in available computing power, new computations are possible in many areas of arithmetic geometry. To name just a few examples, Cremonas tables of elliptic curves now go up to conductor 120,000 instead of just conductor 1,000, tables of Hilbert class fields are known for discriminant up to at least 5,000, and special values of Hilbert and Siegel modular forms can be calculated to extremely high precision.

In many cases, these experimental capabilities have led to new observations and ideas for progress in the field. They have also led to natural algorithmic questions on the feasibility and efficiency of many computations, especially for the purpose of applications in cryptography. The AMS Special Session on Computational Arithmetic Geometry, held on April 29-30, 2006, in San Francisco, CA, gathered together many of the people currently working on the computational and algorithmic aspects of arithmetic geometry.

This volume contains research articles related to talks given at the session. The majority of articles are devoted to various aspects of arithmetic geometry, mainly with a computational approach.



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