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'''Lattice related projects'''
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'''Point counting and zeta function projects'''

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

  • fix intersections of free_quadratic_modules and thus homomorphisms of abelian groups #23703

  • 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

Point counting and zeta function projects

  • hypergeometric motives #23671

  • get Edgar Costa's code for zeta functions of projective hypersurfaces into Sage #23863

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.

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