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PEOPLE: Rachel P., Aly, Gagan, Anja, Sarah, Marina |
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| PEOPLE: Kate, William S., Lola, Aly, Erin, Bianca, | |
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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. * explicit calculation of Grossencharacters. |
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| == | == Computing L-series of Jacobians of Certain Hyperelliptic Curves == PEOPLE: Jennifer B., Jennifer P., Jennifer J. * Decide if curve is attached to a modular form, and if so find it, then use that to compute L-series. * Plug L-series into Dokchitser and get numbers. * Make a table. Starting with "van Wamelen"'s table. See also Kohel. == 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. |
PROJECT GROUPS
Computing the Cartier operator acting on 1-forms
PEOPLE: Rachel P., Aly, Gagan, Anja, Sarah, Marina
- 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,
- make code usable from Python (involves Cython)
- use code:
- - replicate and extend data in Kate's talk - maybe try genus 2 analogue?
- possibly implement cubic and sextic residue symbol. make it really really fast, even if it is implemented, since Kate wants lots of data.
- explicit calculation of Grossencharacters.
Computing L-series of Jacobians of Certain Hyperelliptic Curves
PEOPLE: Jennifer B., Jennifer P., Jennifer J.
- Decide if curve is attached to a modular form, and if so find it, then use that to compute L-series.
- Plug L-series into Dokchitser and get numbers.
- Make a table. Starting with "van Wamelen"'s table. See also Kohel.
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.