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semester on Automorphic Forms, Combinatorial Representation Theory and Multiple Dirichlet Series" Below is a list of proposed projects. ... === |
semester on `Automorphic Forms, Combinatorial Representation Theory and Multiple Dirichlet Series <http://icerm.brown.edu/sp-s13>`_. Below is a list of proposed projects. You are welcome to add more projects or add yourself as participant for existing projects! The following `feature request guidelines <feature_request_guidelines>`_ may help you specify useful and realistic project descriptions; if you are at ICERM, you are more than welcome to come discuss about those with the Sage fans there! Extended affine Weyl groups, affine Iwahori Hecke algebras, and nonsymmetric Macdonald polynomials ================================================================================================== Dan Bump, Anne Schilling, Mark Shimozono, Nicolas Thiéry, Viviane Pons This project was started during Sage Days 40 by Dan Bump, Dan Orr, Anne Schilling, Mark Shimozono, and Nicolas Thiéry and preliminary patches are in the sage-combinat queue (see extended_affine_weyl_groups_sd40.patch and affine_iwahori_hecke_algebras.patch). Viviane Pons: I have some programs already in sage-combinat on non symmetric Macdonald polynomials, see trac_6629_abstract_ring_of_multivariate_polynomials_with_several_bases_vp.patch Finalization of the Coxeter3 integration into Sage ================================================== Anne Schilling, Nicolas Thiéry, Martina Lanini, Dan Bump This would bring a faster implementation of Kazhdan-Lusztig polynomials to Sage. See `Trac Ticket 12912 <http://trac.sagemath.org/sage_trac/ticket/12912>`_. Finalization of Coxeter and Weyl groups patch ============================================= Mark Shimozono, Anne Schilling, Christian Stump Finalization of the patch `Trac Ticket 12774 <http://trac.sagemath.org/sage_trac/ticket/12774>`_. Further Kazdhan-Lusztig functionalities ======================================= Brant Jones, Chris Berg, Dan Bump Quantum Schubert products in general types (in particular type C) for the full flag variety =========================================================================================== Liz Beazley Equivariant puzzle rule ======================= Liz Beazley, Anne Schilling, Allen Implementation of k-tableaux using alpha factorizations ======================================================= Anne Schilling Review the `root system plot ticket <http://trac.sagemath.org/sage_trac/ticket/4327>`_ ====================================================================================== Nicolas Borie, Nicolas Thiéry Review the affine ambient space patch ===================================== Mark Shimozono, Nicolas Thiéry Finalization of Denton's affine symmetric group patch ===================================================== And possibly generic implementation of (affine) Coxeter groups as (affine) permutation groups, using (affine) permutations of the roots or the ambient space. Chris Berg, Nicolas Thiéry Finalization of the `partition options patch <http://trac.sagemath.org/sage_trac/ticket/13605>`_ ================================================================================================ Travis Scrimshaw and Andrew Mathas (and Nicolas) Crystals and `rigged configurations code <http://trac.sagemath.org/sage_trac/ticket/13872>`_ and dependencies ============================================================================================================= Travis Scrimshaw, Anne Officially deprecate `CombinatorialClass <http://trac.sagemath.org/sage_trac/ticket/12913>`_ ============================================================================================ I believe after #13605, there are only a few more left... Travis Scrimshaw Vincent Delecroix Implement a `general RSK <http://trac.sagemath.org/sage_trac/ticket/8392>`_ =========================================================================== RSK for biwords, integer matrices, ... Travis Scrimshaw, Sara Split and finalize `languages <http://trac.sagemath.org/sage_trac/ticket/12224>`_ ================================================================================= Vincent Delecroix and Travis Scrimshaw Posets ====== - adding functionality to poset elements--what does this mean? - iterate over lattices - zeta, order, characteristic polynomials * characteristic polynomial done naively * zeta polynomial from Stembridge's posets code * W polynomial coming--relabel the poset and then look at permutations - more examples of posets * Young diagrams * Semistandard tableaux * interval posets - graph_editor - disjoint union, ordinal sum, product Alex Csar, Kevin Dilks Preparing technical details for Combinatorial Hopf Algebras =========================================================== Main points are : * Finalizing GradedEnumeratedSet * Categories for Graded Connected Hopf Algebras With Basis (require point 1) * Improve linear morphisms between GradedConnectedAlgebrasWithBasis (computation of matrices for each graded component, ...) (require point 2) * Fix technical detail about composition of linear morphism Nicolas Borie, Vincent Delecroix, Saliola The symmetric group as a proper Weyl group ========================================== http://trac.sagemath.org/sage_trac/ticket/14095 Sara Iterating through Partitions(n) for n>=1000 =========================================== http://trac.sagemath.org/sage_trac/ticket/14095 Finalize more thematic tutorials and get them into Sage ======================================================= - http://trac.sagemath.org/sage_trac/ticket/14090 - http://trac.sagemath.org/sage_trac/ticket/11490 - http://combinat.sagemath.org/doc/thematic_tutorials/index-sage-combinat.html - Discuss the layout for exercises, ... Nicolas Thiéry, Franco Saliola, ... We need proof readers! Cluster algebra package ======================= 3 tickets that need review/finalization Gregg Musiker, Christian Stump, Salvatore B infinity crystals =================== Ben, Mary Elisabeth, Travis General Coxeter groups ====================== Christian, Richmond Digit sets ========== Finalization and review Eva Curry Implementing (and optimizing) Sheicher and Thuswaldner algorithm for finding neighbors of an integral self-affine tile ====================================================================================================================== (citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.141.4331&rep=rep1&type=pdf) Eva Quasi symmetric functions / Combinatorial Hopf Algebras ======================================================= Chris, Sara, Franco, Nicolas^2, Darij Here is the `worksheet from our first meetup on Tuesday evening <http://wiki.sagemath.org/days45_projects?action=AttachFile&do=get&target=QSymExplorationsAtICERM.sws>`_ Here are some possible topics: - QSym tutorial (see the Sym tutorial for inspiration ; use Sym tutorial as a pre-requiste) - QSym documentation improvements : for instance, include "inject_shorthands" - product_on_basis for the F-basis - P-partition enumerators (Darij) - chromatic quasi-symmetric functions (Alejandro, Eric) Quiver algebras and representations =================================== Gregg? #11111: Finite dimensional vector spaces and algebras ===================================================== Nicolas, Franco KLR-algebra =========== Gabe, Mathas, Mary Elizabeth fo Matrices indexed by whatever ============================ Mathas, Nicolas Schur algebras ============== #9123 not Travis Generalized Specht modules ========================== Sara, Alejandro, Darij, Chris, Franco Chromatic quasi-symmetric functions =================================== Number theory and automorphic forms =================================== Hartmut, ... We will meet at 4pm near the reception to discuss projects. Let's get to work and have fun! =============================== Everybody |
Note
What's New:
- See the tutorials page for links to tutorials, worksheets, resources, references, and more.
Sage Days 45 Coding Sprint Projects
This is the project page for Sage Days 45, and more generaly ICERM's semester on Automorphic Forms, Combinatorial Representation Theory and Multiple Dirichlet Series.
Below is a list of proposed projects. You are welcome to add more projects or add yourself as participant for existing projects! The following feature request guidelines may help you specify useful and realistic project descriptions; if you are at ICERM, you are more than welcome to come discuss about those with the Sage fans there!
Extended affine Weyl groups, affine Iwahori Hecke algebras, and nonsymmetric Macdonald polynomials
Dan Bump, Anne Schilling, Mark Shimozono, Nicolas Thiéry, Viviane Pons
This project was started during Sage Days 40 by Dan Bump, Dan Orr, Anne Schilling, Mark Shimozono, and Nicolas Thiéry and preliminary patches are in the sage-combinat queue (see extended_affine_weyl_groups_sd40.patch and affine_iwahori_hecke_algebras.patch).
Viviane Pons: I have some programs already in sage-combinat on non symmetric Macdonald polynomials, see trac_6629_abstract_ring_of_multivariate_polynomials_with_several_bases_vp.patch
Finalization of the Coxeter3 integration into Sage
Anne Schilling, Nicolas Thiéry, Martina Lanini, Dan Bump
This would bring a faster implementation of Kazhdan-Lusztig polynomials to Sage.
See Trac Ticket 12912.
Finalization of Coxeter and Weyl groups patch
Mark Shimozono, Anne Schilling, Christian Stump
Finalization of the patch Trac Ticket 12774.
Further Kazdhan-Lusztig functionalities
Brant Jones, Chris Berg, Dan Bump
Quantum Schubert products in general types (in particular type C) for the full flag variety
Liz Beazley
Equivariant puzzle rule
Liz Beazley, Anne Schilling, Allen
Implementation of k-tableaux using alpha factorizations
Anne Schilling
Review the root system plot ticket
Nicolas Borie, Nicolas Thiéry
Review the affine ambient space patch
Mark Shimozono, Nicolas Thiéry
Finalization of Denton's affine symmetric group patch
And possibly generic implementation of (affine) Coxeter groups as (affine) permutation groups, using (affine) permutations of the roots or the ambient space.
Chris Berg, Nicolas Thiéry
Finalization of the partition options patch
Travis Scrimshaw and Andrew Mathas (and Nicolas)
Crystals and rigged configurations code and dependencies
Travis Scrimshaw, Anne
Officially deprecate CombinatorialClass
I believe after #13605, there are only a few more left...
Travis Scrimshaw Vincent Delecroix
Split and finalize languages
Vincent Delecroix and Travis Scrimshaw
Posets
- adding functionality to poset elements--what does this mean?
- iterate over lattices
- zeta, order, characteristic polynomials
- characteristic polynomial done naively
- zeta polynomial from Stembridge's posets code
- W polynomial coming--relabel the poset and then look at permutations
- more examples of posets
- Young diagrams
- Semistandard tableaux
- interval posets
- graph_editor
- disjoint union, ordinal sum, product
Alex Csar, Kevin Dilks
Preparing technical details for Combinatorial Hopf Algebras
Main points are :
- Finalizing GradedEnumeratedSet
- Categories for Graded Connected Hopf Algebras With Basis (require point 1)
- Improve linear morphisms between GradedConnectedAlgebrasWithBasis (computation of matrices for each graded component, ...) (require point 2)
- Fix technical detail about composition of linear morphism
Nicolas Borie, Vincent Delecroix, Saliola
Iterating through Partitions(n) for n>=1000
Finalize more thematic tutorials and get them into Sage
- http://trac.sagemath.org/sage_trac/ticket/14090
- http://trac.sagemath.org/sage_trac/ticket/11490
- http://combinat.sagemath.org/doc/thematic_tutorials/index-sage-combinat.html
- Discuss the layout for exercises, ...
Nicolas Thiéry, Franco Saliola, ... We need proof readers!
Cluster algebra package
3 tickets that need review/finalization
Gregg Musiker, Christian Stump, Salvatore
B infinity crystals
Ben, Mary Elisabeth, Travis
General Coxeter groups
Christian, Richmond
Digit sets
Finalization and review
Eva Curry
Implementing (and optimizing) Sheicher and Thuswaldner algorithm for finding neighbors of an integral self-affine tile
(citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.141.4331&rep=rep1&type=pdf)
Eva
Quasi symmetric functions / Combinatorial Hopf Algebras
Chris, Sara, Franco, Nicolas^2, Darij
Here is the worksheet from our first meetup on Tuesday evening
Here are some possible topics:
- QSym tutorial (see the Sym tutorial for inspiration ; use Sym tutorial as a pre-requiste)
- QSym documentation improvements : for instance, include "inject_shorthands"
- product_on_basis for the F-basis
- P-partition enumerators (Darij)
- chromatic quasi-symmetric functions (Alejandro, Eric)
Quiver algebras and representations
Gregg?
#11111: Finite dimensional vector spaces and algebras
Nicolas, Franco
KLR-algebra
Gabe, Mathas, Mary Elizabeth
fo Matrices indexed by whatever ============================
Mathas, Nicolas
Schur algebras
#9123
not Travis
Generalized Specht modules
Sara, Alejandro, Darij, Chris, Franco
Chromatic quasi-symmetric functions
Number theory and automorphic forms
Hartmut, ...
We will meet at 4pm near the reception to discuss projects.
Let's get to work and have fun!
Everybody