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'''Lattice related projects''' |
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| * fix intersections of free_quadratic_modules and thus homomorphisms of abelian groups [[https://trac.sagemath.org/ticket/23703|#23703]] | * use the inner_product_matrix for module comparison [[https://trac.sagemath.org/ticket/23915|#23915]] |
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| * a latex representation for the genus using the Conway Sloane genus symbols | * a latex representation for the genus using the Conway Sloane genus symbols [[https://trac.sagemath.org/ticket/23916|#23916]] |
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| * expose more of [[https://github.com/jefferyphein/ternary-birch|Jeffery Hein's lattice code]] than is currently being used for modular forms [[https://trac.sagemath.org/ticket/23342|23342]] '''Point counting and zeta function projects''' |
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| * package Sebastian Pancratz's code for deformation computation of zeta functions [[https://trac.sagemath.org/ticket/20265|#20265]] * implement a (rigorous, sane) test for Weil polynomials. More ambitious: get [[https://github.com/kedlaya/root-unitary|this code]] for exhausting over Weil polynomials into Sage * Add Malcolm Kotok's code for zeta functions using the Sperber-Voight algorithm to Sage: [[https://trac.sagemath.org/ticket/19865]], [[http://hdl.handle.net/1802/30832]] |
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| * [[https://trac.sagemath.org/ticket/23376|#23376]] | * bugfix for genera equality testing [[https://trac.sagemath.org/ticket/23376|#23376]] |
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| Before the workshop, we recommend [[http://www.sagemath.org/|downloading and installing]] the latest version of the source code of Sage, opening a [[https://trac.sagemath.org/|Sage trac]] account. | Before the workshop, we recommend [[http://www.sagemath.org/|downloading and installing]] the latest version of the source code of Sage, opening a [[https://trac.sagemath.org/|Sage trac]] account and completing the [[https://www.codecademy.com/|Code Academy]] modules on Python and Git. |
Sage Days 91: Open Source Computation and Algebraic Surfaces (Sept. 29 - Oct. 1, 2017)
Location: Banff International Research Station.
Schedule
https://www.birs.ca/events/2017/2-day-workshops/17w2677/schedule
Projects
Feel free to add suggestions
Please add "sd91" as a keyword to any tickets you are working on during this week so they show up in this list: sd91 Tickets
Lattice related projects
fix vector matrix multiplication for free module elements #23576
fix .annihilator() for the trivial abelian group #22720
use the inner_product_matrix for module comparison #23915
implement finite bilinear/quadratic forms and make sure that the discriminant group has one #23699
- implement QQ/ZZ , QQ/2ZZ or QQ/nZZ as abelian groups. This is where finite quadratic/bilinear forms have values
- implement a class for (subgroups of) the orthogonal group of a finite bilinear/quadratic form and an algorithm to compute it
- diagonalization and isomorphism testing for finite quadratic/bilinear forms
- create a genus from a signature pair and a finite quadratic form
- create a finite quadratic form from a genus
a latex representation for the genus using the Conway Sloane genus symbols #23916
- a base class for the orthogonal group of a lattice
- a method to compute the orthogonal group of a positive definite lattice
expose more of Jeffery Hein's lattice code than is currently being used for modular forms 23342
Point counting and zeta function projects
hypergeometric motives #23671
get Edgar Costa's code for zeta functions of projective hypersurfaces into Sage #23863
package Sebastian Pancratz's code for deformation computation of zeta functions #20265
implement a (rigorous, sane) test for Weil polynomials. More ambitious: get this code for exhausting over Weil polynomials into Sage
Add Malcolm Kotok's code for zeta functions using the Sperber-Voight algorithm to Sage: https://trac.sagemath.org/ticket/19865, http://hdl.handle.net/1802/30832
Tickets needing review
To prepare for the workshop
Before the workshop, we recommend downloading and installing the latest version of the source code of Sage, opening a Sage trac account and completing the Code Academy modules on Python and Git.