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== Function Fields ==

The goal of this project is to get the basic infrastructure for function fields into Sage. See [[daysff/curves|Hess's papers and talks]].



People: William Stein, Maarten Derickx, Peter Bruin, Jan Tuitman, Max Flander, Tanja Lange, Michiel Kosters, Christiane Peters, Marco Streng

 * Trac 9054: [[http://trac.sagemath.org/sage_trac/ticket/9054|Create a class for basic function_field arithmetic for Sage]]
 * Trac 9069: [[http://trac.sagemath.org/sage_trac/ticket/9069|Weak Popov Form (reduction algorithm)]]
 * Trac 9094: [[http://trac.sagemath.org/sage_trac/ticket/9094|is_square and sqrt for polynomials and fraction fields]]
 * Trac 9095: [[http://trac.sagemath.org/sage_trac/ticket/9095|Heights of points on elliptic curves over function fields]]
 
Make sure to see [[daysff/curves|this page for more links]].

Sage Days 24 Coding Sprint Projects

This is a list of projects suitable for Sage Days 24. Feel free to add your favourite ideas/wishes, and to put your name down for something you're interested in (you'll need to get an account on the wiki to do this).

Kovacic's Algorithm

People: Burcin Erocal

Implement Kovacic's algorithm in Sage.

Hypergeometric Functions

People: Flavia Stan, Karen Kohl, Fredrik Johansson

Plural support

People: Burcin Erocal

Add support for Singular's noncommutative component Plural, finish #4539.

Locapal support

People: Burcin Erocal

There is experimental support for computing Groebner bases over certain localizations of operator algebras in Singular. See this presentation for more details. Support for arithmetic needs to be provided in Sage.

Parallel Integration

People: Burcin Erocal

Integrate Stefan Boettner's parallel integration code in Sage. There are several prerequisites for this, such as

  • algebraic function fields (transcendence degree > 1)

  • differential rings/fields
  • proper to_polynomial(), to_rational() functions for symbolic expressions

Algorithmic/Automatic Differentiation

People: William Stein

I never thought much of this topic, but there is a talk at Euroscipy suggesting it could be useful. More details here.

Upgrade Pari to version 2.4.3

People: William Stein

See trac 9343. This has little to do with symbolic computation though...

Function Fields

The goal of this project is to get the basic infrastructure for function fields into Sage. See Hess's papers and talks.

People: William Stein, Maarten Derickx, Peter Bruin, Jan Tuitman, Max Flander, Tanja Lange, Michiel Kosters, Christiane Peters, Marco Streng

Make sure to see this page for more links.

days24/projects (last edited 2010-07-26 03:40:40 by FredrikJohansson)