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Sage Days 40 Coding Sprint Projects
For the main Sage Days 40 wiki page go here.
Below is a list of proposed projects.
Refactoring and extensions to symmetric functions / KSchur
Anne Schilling, Mike Zabrocki, Dorota
Arithmetic dynamics & symmetric functions
Ben Hutz
Grothendieck polynomials / ...
Kaisa / Nicolas; checking out with Viviane's code Mark Shimozono, Jessica Striker
Alternating sign matrices
Jessica Striker
Refactoring and extensions to Hopf algebras
Anne Schilling, Mike Zabrocki, John, Franco
Hopf algebras on graphs
Jeremy
Crystals
(trac #12251, positive review)
Anne Schilling, Mark Shimozono, Julie, Dan Bump, Ben Brubaker, Arthur Lubovsky
Get people in Sage
Dan Drake, Nicolas Thiery, Gregg Musiker, Franco Saliola
Quiver representations
Gregg Musiker, Peter Webb, Franco Saliola, Charles Paquette, Alex Fink, Julie, Al Garver, Emily Gunawan
Clusters algebras from surfaces
Gregg Musiker, Al Garver, Weiwen Gu, Emily Gunawan
Graphs
Status as of Wednesday: Jeremy wrote some code to contract edges, check whether an edge is a cut-edge, and compute the Tutte polynomial. Lauren and Matt are beta-testing it. (It also needs commenting, examples, etc.)
Could you please poset the trac ticket number here? I am very interested to see your work (Anne).
Jeremy L. Martin, Anne Schilling, Tom, Lauren
- Tutte Polynomial
Kevin, Thomas
Posets & Simplicial complexes
Demo including facade posets: Kim Vic
Jessica Striker, Jeremy, John^2, Charles?, Kevin, Thomas, Alex Csar?
Wish List
Posets:
is_modular - Alex Csar
is_atomic
is_semimodular - Alex Csar
adding functionality to poset elements
iterate over lattices
zeta, order, characteristic polynomials
more examples of posets
- Young diagrams - Kevin
- Semistandard tableaux - Jessica/Julie
graph_editor
disjoint union
ordinal sum
product
interval posets
make dual poset function work properly for lattices (it seems to break the join)
Simplicial Complexes:
Shellability
G-posets - homology modules
H_*(-, R), H^*(-, R) when R is neither Z nor a field
cup products trac #6102
cohomology operations
how to represent (co-)homology classes? trac #6100
links (already done)
stars
Cohen-Macalaulay (trac #11523, needs review)
Fundamental Group (should not be too hard, using the code from trac #12339)
is_shifted
is_pseudo-manifold (trac #13226, needs review)
triangulate complex projective space (research problem; see mathoverflow)
chain complexes:
- fix bug for map induced by map of simplicial complexes: see trac #13220, needs review, should be easy to review.
- induced map on homology (high priority) trac #6101
- mapping cone
- tensor product
- Tot of a bicomplex
- filtered chain complexes and the associated spectral sequence?
Topological structures & categories & their reps
Peter Webb, John
Sage Documentation
John
Graded Algebras
Franco, John
Partition algebras and their reps
George
Get my patches into Sage
Nicolas
Franco
Anne (trac #12251, positive review), (trac #13224, positive review) (trac #13222, positive review)
Dan
Gregg
...
Review of what's missing from Stembridge's packages
Alex, Drew, Thomas, Kevin
Extended Affine hecke algebras / weyl groups
Non symmetric Macdonald polynomials & friends in general types
Mark, Nicolas, Anne, Dan, Ben, Daniel
Sagetex
Nicolas, Dan
Schubert Calculus
Mark, Alex, Nicolas, Kaisa, Yasuhide, Tom
Integration of (affine) symmetric group and Coxeter groups
Alex Csar, Tom Denton, Holly
NCSF/QSYM
Chris, Mike, Holly, Dorota, Franco, Nicolas?
Statistics on permutations
Kim2
Interface to Gfan and version update
Marshall Hampton
Complex reflexion groups
Alex Miller
Matroids
Jeremy Vic
I learned that there is a matroid project well underway already: see trac #7477 and/or the Google group sage-matroid. -- Jeremy