Sage Days 64.5: Cluster Algebras

If you want to know who was physically participating, check out our group photo. Also check out a few more pictures of the group working, coding, climbing, and waving.

General Information

Sage Days 64.5: Cluster Algebras will be a five-day workshop to design and implement algorithms and computer exploration tools for research in cluster algebras and quiver representations. All software developed during the workshop will be made freely available as part of the free and open-source mathematics software system Sage (http://www.sagemath.org).

The workshop will consist of both talks on cluster algebras (focusing on features to be implemented) as well as on logistics of Sage development. In particular, students and researchers with background in cluster algebras are very welcome to attend and to get involved in computer explorations and development of Sage's cluster package. There will be ample time allotted for design discussions and coding sprints to implement the developed algorithms.

When and where?

June 1-5, 2015, at the IMA, University of Minnesota, in Minneapolis, MN, USA.

Schedule

All talks will be held in Lind 305, and all coffee breaks in Lind Hall 400.

Monday June 01, 2015

08:30am - 09:00am

Registration and Coffee

09:00am - 09:15am

Welcome

09:15am - 10:00am

Gregg Musiker

Tutorial: Sage Introduction and Installation Assistance (cloud, notebook)

10:00am - 11:00am

Dylan Rupel

Tutorial: Current State of the Cluster Package (notebook)

11:00am - 11:30am

Break

11:30am - 12:30pm

Harold Williams

Cluster Algebras IV: Cluster Algebras from C to G

12:30pm - 02:30pm

Lunch

02:30pm - 03:30pm

Greg Muller

Finite Order Approximations of Scattering Diagrams (slides,notes,github)

03:30pm - 04:00pm

Break

04:00pm - 04:45pm

Discussion: Introductions and Functionality Wish Lists

04:45pm - 05:45pm

Group Meetings/Coding Sprints start

06:00pm - 08:30pm

Social Hour at Stub and Herbs

Tuesday June 02, 2015

08:30am - 09:00am

Coffee

09:00am - 10:00am

Stella Salvatore

Tutorial: Contributing to Sage (slides)

10:00am - 11:00am

Coding Sprints

11:00am - 11:10am

Group Photo

11:10am - 11:30am

Break

11:30am - 12:30pm

David Speyer

Combinatorics of Cluster Structures on the Grassmannian (slides)

12:30pm - 02:30pm

Lunch

02:30pm - 03:30pm

Simon King

An F5 Algorithm for Modules Over Path Algebra Quotients and the Computation of Loewy Layers (slides, #17435)

03:30pm - 04:00pm

Break

04:00pm - 06:00pm

Group Meetings and Coding Sprints

Wednesday June 03, 2015

08:30am - 09:00am

Coffee

09:00am - 10:00am

Nathan Reading

Sortable Elements in Cluster-algebra Computations (board with things to know)

10:00am - 11:00am

Coding Sprints

11:00am - 11:30am

Break

11:30am - 12:30pm

Coding Sprints

12:30pm - 02:30pm

Lunch

02:30pm - 03:30pm

Vincent Pilaud

Compatibility Fans for Graphical Nested Complexes (slides)

03:30pm - 04:00pm

Break

04:00pm - 04:30pm

Discussion: Status Reports

04:30pm - 06:00pm

Group Meetings and Coding Sprints

Thursday June 04, 2015

08:30am - 09:00am

Coffee

09:00am - 10:00am

Christian Stump

Talk: Subword complexes

10:00am - 11:00am

Coding Sprints

11:00am - 11:30am

Break

11:30am - 12:30pm

David Speyer

Positroid Cluster Algebras and the Octahedron Recurrence slides

12:30pm - 02:30pm

Lunch

02:30pm - 02:45pm

Florian Gellert

Short presentation on the Sage cell link

02:45pm - 03:30pm

Coding Sprints

03:30pm - 04:00pm

Break

04:00pm - 06:00pm

Group Meetings and Coding Sprints

Friday June 05, 2015

08:30am - 09:00am

Coffee

09:00am - 10:30am

Coding Sprints

10:30am - 11:00am

Break

11:00am - 12:00pm

Coding Sprints

12:00pm - 02:00pm

Lunch

02:00pm - 03:00pm

Final Status Reports

The starting point is the core implementation of cluster algebras as merged in Sage-5.9, see #10298, with possible new features discussed in spring 2013 in Minneapolis.

Topics

Progress Report on Wednesday

* Salvatore, Dylan: Re-implementing ClusterSeeds using F-polys and g-vectors. Also, implementing Tropical Semifields

* Jesse, Chris - Add modularity so that one can compute certain cluster seed quantities without others

* Gregg, Chris, Jesse, Emily - Related to above, allowing other names for cluster variables. (Goal is to merge all three of these pieces together to have trac tickets rewriting ClusterSeed)

* Simon - Working on F5 algorithm, have a ticket for review

* Anna, Emily - fixed bug in snake graphs and triangulation

* Aram, Vivianne - mutation analyzer, using functions to only mutate at certain type of vertices 18594

* Greg, Harold, Jacob, Matt - implementing upper cluster algebra presentation algorithm but saturation is computing a quotient ideal that is time intensive.

* Christian, Vincent, Nathan W., Simon - Chevie interface for reflection groups. Almost ready for review.

* Vincent, Christian - Subword complexes. Almost ready for review.

* Nathan W. - m-eralized Cambrian lattices

* Chris and David - code for weakly separated sets and visualization

* Greg, Mandy, Eric, Trey - working with Greg's stereographic projection, modeling them internally where they intersect

* Florian - added class for Quantum Tori

* Greg, Mandy - Scattering diagrams (visualization and algebraic computations of broken lines, consistent completions)

Topics from first feature meeting (6+ votes)

Important features

Other features

Other features, easy

days64.5 (last edited 2015-06-28 04:17:37 by jmatherne)