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| 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 Symmetric functions and Hopf algebras ===================================== Refactoring and extensions to symmetric functions / KSchur ---------------------------------------------------------- Anne Schilling, Mike Zabrocki, Dorota Refactoring and extensions to Hopf algebras ------------------------------------------- Anne Schilling, Mike Zabrocki, John, Franco Graded Algebras -------------- Franco, John Hopf algebras on graphs ----------------------- Jeremy NCSF/QSYM --------- Chris, Mike, Holly, Dorota, Franco, Nicolas? Partition algebras and their reps --------------------------------- George Quiver representations ====================== Gregg Musiker, Peter Webb, Franco Saliola, Charles Paquette, Alex Fink, Julie, Al Garver, Emily Gunawan User stories: [[attachment:quiver_representations.sage]] Clusters algebras from surfaces =============================== Gregg Musiker, Al Garver, Weiwen Gu, Emily Gunawan Combinatorics ============= 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 Review of what's missing from Stembridge's packages --------------------------------------------------- Alex, Drew, Thomas, Kevin Posets & Simplicial complexes ----------------------------- Demo including facade posets: Kim Vic Jessica Striker, Jeremy, John^2, Charles?, Kevin, Thomas, Alex Csar? Wish List: - 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 * interval posets - graph_editor - disjoint union, ordinal sum, product - 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 <http://trac.sagemath.org/sage_trac/ticket/6102>`_ cohomology operations how to represent (co-)homology classes? `trac #6100 <http://trac.sagemath.org/sage_trac/ticket/6100>`_ links (already done) stars Cohen-Macalaulay (`trac #11523 <http://trac.sagemath.org/sage_trac/ticket/11523>`_, needs review) Fundamental Group (should not be too hard, using the code from `trac #12339 <http://trac.sagemath.org/sage_trac/ticket/12339>`_) is_shifted is_pseudo-manifold (`trac #13226 <http://trac.sagemath.org/sage_trac/ticket/13226>`_, needs review) triangulate complex projective space (research problem; see `mathoverflow <http://mathoverflow.net/questions/20664/why-is-complex-projective-space-triangulable>`_) chain complexes: - fix bug for map induced by map of simplicial complexes: see `trac #13220 <http://trac.sagemath.org/sage_trac/ticket/13220>`_, needs review, should be easy to review. - induced map on homology (high priority) `trac #6101 <http://trac.sagemath.org/sage_trac/ticket/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 Coxeter groups, Hecke algebras, Crystals, ... ============================================= Crystals -------- (`trac #12251 <http://trac.sagemath.org/sage_trac/ticket/12251>`_, positive review) Anne Schilling, Mark Shimozono, Julie, Dan Bump, Ben Brubaker, Arthur Lubovsky Extended Affine hecke algebras / weyl groups -------------------------------------------- Non symmetric Macdonald polynomials & friends in general types Mark, Nicolas, Anne, Dan, Ben, Daniel Integration of (affine) symmetric group and Coxeter groups ---------------------------------------------------------- Alex Csar, Tom Denton, Holly Complex reflexion groups ------------------------ Alex Miller Schubert Calculus ================= Mark, Alex, Nicolas, Kaisa, Yasuhide, Tom Statistics on permutations -------------------------- Kim2 Matroids -------- Jeremy, Vic I learned that there is a matroid project well underway already: see `trac #7477 <http://trac.sagemath.org/sage_trac/ticket/7477>`_ and/or the Google group `sage-matroid <https://groups.google.com/group/sage-matroid>`_. -- Jeremy Sage Documentation ================== John Sagetex ------- Nicolas, Dan Misc ==== Get my patches into Sage ------------------------ Nicolas, Franco, Dan, Gregg Anne (`trac #12251 <http://trac.sagemath.org/sage_trac/ticket/12251>`_, positive review), (`trac #13224 <http://trac.sagemath.org/sage_trac/ticket/13224>`_, positive review) (`trac #13222 <http://trac.sagemath.org/sage_trac/ticket/13222>`_, positive review) Interface to Gfan and version update ==================================== Marshall Hampton |
Sage Days 40 Coding Sprint Projects
For the main Sage Days 40 wiki page go here.
Below is a list of proposed projects.
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
Symmetric functions and Hopf algebras
Refactoring and extensions to symmetric functions / KSchur
Anne Schilling, Mike Zabrocki, Dorota
Refactoring and extensions to Hopf algebras
Anne Schilling, Mike Zabrocki, John, Franco
Graded Algebras
Franco, John
Hopf algebras on graphs
Jeremy
NCSF/QSYM
Chris, Mike, Holly, Dorota, Franco, Nicolas?
Partition algebras and their reps
George
Quiver representations
Gregg Musiker, Peter Webb, Franco Saliola, Charles Paquette, Alex Fink, Julie, Al Garver, Emily Gunawan
User stories: [[attachment:quiver_representations.sage]]
Clusters algebras from surfaces
Gregg Musiker, Al Garver, Weiwen Gu, Emily Gunawan
Combinatorics
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
Review of what's missing from Stembridge's packages
Alex, Drew, Thomas, Kevin
Posets & Simplicial complexes
Demo including facade posets: Kim Vic
Jessica Striker, Jeremy, John^2, Charles?, Kevin, Thomas, Alex Csar?
Wish List:
- 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 * interval posets
- graph_editor
- disjoint union, ordinal sum, product
- 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
Coxeter groups, Hecke algebras, Crystals, ...
Crystals
(trac #12251, positive review)
Anne Schilling, Mark Shimozono, Julie, Dan Bump, Ben Brubaker, Arthur Lubovsky
Extended Affine hecke algebras / weyl groups
Non symmetric Macdonald polynomials & friends in general types
Mark, Nicolas, Anne, Dan, Ben, Daniel
Integration of (affine) symmetric group and Coxeter groups
Alex Csar, Tom Denton, Holly
Complex reflexion groups
Alex Miller
Schubert Calculus
Mark, Alex, Nicolas, Kaisa, Yasuhide, Tom
Statistics on permutations
Kim2
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
Sage Documentation
John
Sagetex
Nicolas, Dan
Misc
Get my patches into Sage
Nicolas, Franco, Dan, Gregg
Anne (trac #12251, positive review), (trac #13224, positive review) (trac #13222, positive review)
Interface to Gfan and version update
Marshall Hampton