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

Tickets needing review

• a class for integral lattices #23634

• bugfix for genera equality testing #23376

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.