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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 <http://trac.sagemath.org/sage_trac/ticket/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

cohomology operations

how to represent (co-)homology classes?

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)
- 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 <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)

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 <http://trac.sagemath.org/sage_trac/ticket/7477>`_ and/or the Google group `sage-matroid <https://groups.google.com/group/sage-matroid>`_. -- Jeremy

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

cohomology operations

how to represent (co-)homology classes?

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)
  • 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

days40_projects (last edited 2012-07-19 11:43:39 by zabrocki)