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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]]

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
  • 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.

days91 (last edited 2017-10-11 13:26:33 by sbrandhorst)