PIMS Workshop on Computational Arithmetic Geometry 2017
Topic
A workshop bringing together experts in arithmetic geometry, with an emphasis on computational aspects.
Details
In the last 20-30 years, great advances have been made in the study of elliptic curves, thanks to the development of excellent computational tools for doing explicit, computational experiments. Similarly, the existence of efficient computational tools for working with hyperelliptic curves has computing with hyperelliptic curves has advanced mathematical knowledge greatly. These computational advances are also finding practical applications, for instance in cryptography and coding theory. By comparison, the support for efficient computation with non-hyperelliptic curves is much more limited (essentially the only platform available for it is the closed-source computer algebra system Magma). This workshop aims to bring together experts to improve the computational support for arithmetic geometric objects in general, and for divisor groups and function fields of algebraic curves in particular.
The program will consist of a variety of scientific lectures, as well as ample time for informal collaboration and code sprints for software development. One of the targets is to improve the computational support for arithmetic geometry in the open-source computer algebra system SageMath.
Please see the event webpage for more information.