Differences between revisions 10 and 11
Revision 10 as of 2010-12-08 10:54:07
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Revision 11 as of 2010-12-08 15:57:24
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  * make code usable from Python (involves Cython); see [[http://code.google.com/p/purplesage/issues/detail?id=13|this psage issue]].   * smalljac
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  * use code:       * make smalljac code usable from Python (involves Cython); see [[http://code.google.com/p/purplesage/issues/detail?id=13|this psage issue]].

      * use code:
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     - replicate and extend data in Kate's talk       - replicate and extend data in Kate's talk
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     - maybe try genus 2 analogue?       - maybe try genus 2 analogue?
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  * possibly implement cubic and sextic residue symbol. make it really really fast, even if it is implemented, since Kate wants lots of data.   * cubic and sextic residue symbol
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  * explicit calculation of Grossencharacters.       * there's a [[http://trac.sagemath.org/sage_trac/attachment/ticket/8485/trac_8485.patch|ticket]] that has only partial implementation (cubic residue of rational prime and element of Q(sqrt(-3))) -- not at all a general implementation

      * there are artin symbols etc. -- big machinery

      * we think a fast independent implementation of the cubic (and sextic) residue symbol is worthwhile

      * what does SAGE do to compute quadratic residue symbols?

  * explicit calculation of Grossencharacters (aka Hecke characters).

PROJECT GROUPS

Computing the Cartier operator acting on 1-forms

PEOPLE: Rachel P., Aly, Gagan, Anja, Sarah, Marina, Kate

  • See this page.

  • sage worksheet that is slow and just implements algorithm (correctly!)
  • make it really, really fast.
  • get included in sage itself
  • make a big table or something? Rachel: "I would love to find a curve with p-rank 0 and a-number 1. I did genus 4 and p=3."

Making Drew Sutherland's smalljac code usable in Sage and extending Kate's data

PEOPLE: Kate, William S., Lola, Aly, Erin, Bianca

  • smalljac
    • make smalljac code usable from Python (involves Cython); see this psage issue.

    • use code:
      • - replicate and extend data in Kate's talk - maybe try genus 2 analogue?
  • cubic and sextic residue symbol
    • there's a ticket that has only partial implementation (cubic residue of rational prime and element of Q(sqrt(-3))) -- not at all a general implementation

    • there are artin symbols etc. -- big machinery
    • we think a fast independent implementation of the cubic (and sextic) residue symbol is worthwhile
    • what does SAGE do to compute quadratic residue symbols?
  • explicit calculation of Grossencharacters (aka Hecke characters).

Computing L-series of Jacobians of Certain Hyperelliptic Curves

PEOPLE: Jennifer B., Jennifer P., Jennifer J.

Computing in the class group of non-maximal orders of quadratic imaginary fields

PEOPLE: William S., Bianca,

  • Make a list of what you want to be able to do
  • List why Magma/PARI aren't good enough (bugs, issues, speed, etc.)
  • Write really really fast code to implement some of this.

days26/projects (last edited 2010-12-10 19:57:07 by AlysonDeines)