Organizing Committee
Abstract

SageMath (sometimes Sage for short) is an open-source, general purpose mathematical software based on the Python programming language. It was created in 2005 by William Stein as a viable alternative to commercial software with an active and established community. SageMath has a broad library of functions useful to mathematicians in many fields, including combinatorics and representation theory. The welcoming and engaged community of users and contributors helps to create an environment of collaboration in both software development and mathematical research, leading to SageMath being cited in over 300 papers.

The study of the representation theories of certain algebras (e.g., Lie algebras, Hecke algebras, Khovanov–Lauda–Rouquier (KLR) algebras, quantum groups, etc.) also amounts to understanding the associated combinatorics. This has exposed deep connections between the associated representation theory and other areas of mathematics and physics. However, there are still areas in which development is urgently needed; for example, representation theory of Lie superalgebras, Borcherds (or generalized Kac–Moody) algebras and their representations, KLR algebras, etc.

The primary goal of this workshop is to expand and improve the combinatorics, algebra, and representation theory in SageMath by increasing the user base and encouraging users to contribute their own code. Thus, similar to previous SageDays, this workshop is open to all levels of experience with SageMath: from those who want to discover SageMath to experienced developers.

The workshop will partially consist of talks, presentations, and active demonstrations on some of the relevant mathematical topics, using SageMath, and coding within SageMath. The rest of the workshop will be devoted to coding sprints, time where people can work (either individually or in groups) on code or applying SageMath. The nature of the talks on the underlying mathematics will vary from introductory to specialized and will be aimed at the interests of those participating. Similarly, the presentations on SageMath will include introductory tutorials and extend to development in SageMath.

Animation of how the crystal operators behave in the MV polytope for the crystal B(∞) in type C2, generated using SageMath.

Confirmed Speakers & Participants

Workshop Schedule

Monday, July 23, 2018
TimeEventLocationMaterials
8:30 - 8:55Registration - ICERM 121 South Main Street, Providence RI 0290311th Floor Collaborative Space 
8:55 - 9:00Welcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45Introduction to Sage - Ben Salisbury, Central Michigan University11th Floor Lecture Hall 
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Computing huge subspaces of polynomials- Symmetries to the rescue - Nicolas Thiéry, LRI, Université Paris Sud11th Floor Lecture Hall
11:30 - 12:15Lie Superalgebras and Sage - Dan Bump, Stanford University11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 3:15The Chinta-Gunnells action and sums over highest weight crystals - Anna Puskás, University of Massachusetts, Amherst11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Characterization of queer super crystals - Anne Schilling, University of California, Davis11th Floor Lecture Hall
5:00 - 6:30Welcome Reception11th Floor Collaborative Space 
Tuesday, July 24, 2018
TimeEventLocationMaterials
9:00 - 9:45Rowmotion and toggle dynamics in Sage - Jessica Striker, North Dakota State University11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Paths to understanding rowmotion in products of chains - Tom Roby, University of Connecticut11th Floor Lecture Hall
11:30 - 12:15Full Twist Presentations - Nathan Williams, University of Texas at Dallas11th Floor Lecture Hall 
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 3:15The Rise-Contact involution on Tamari intervals - Viviane Pons, Université Paris-Sud11th Floor Lecture Hall
3:30 - 4:15Toward double affine flag varieties and Grassmannians - Dinakar Muthiah, University of Massachusetts, Amherst11th Floor Lecture Hall
4:30 - 5:00Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, July 25, 2018
TimeEventLocationMaterials
9:00 - 9:45The quantum Heisenberg category and centers of Hecke algebras - Jonathan Brundan, University of Oregon11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Finite order automorphisms on Borcherds algebras - Elizabeth Jurisich, The College of Charleston11th Floor Lecture Hall
11:30 - 12:15Web bases for rings of SL_3 invariants - Hugh Thomas, Université du Québec à Montréal11th Floor Lecture Hall
12:30 - 12:40Group Photo11th Floor Lecture Hall 
12:40 - 2:30Break for Lunch / Free Time  
2:30 - 3:15A construction of the affine VW supercategory - Mee Seong Im, United States Military Academy11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Canonical Bases Elements in Symmetric Kashiwara Crystals of Type A - Mary Schaps, Bar-Ilan University11th Floor Lecture Hall
5:00 - 5:15External Littelman Paths For Crystals Of Type A, rank 2 - Ola Amara Omari, Bar-Ilan University11th Floor Lecture Hall
Thursday, July 26, 2018
TimeEventLocationMaterials
9:00 - 9:45Generalized Jucys-Murphy elementes and canonical idempotents in towers of algebras - Aaron Lauve, Loyola University Chicago11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Back-stable Schubert calculus - Mark Shimozono, Virginia Tech11th Floor Lecture Hall
11:30 - 12:15Unitary friezes from affine quivers - Emily Gunawan, University of Connecticut11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 2:45Shifted Symmetric Functions from Heisenberg Categories - Can Ozan Oguz, University of Southern California11th Floor Lecture Hall
2:45 - 3:00Packed Words and WQSym basis - Hugo Mlodecki, Université Paris-Sud11th Floor Lecture Hall 
3:00 - 3:15Chained Permutations - Dylan Heuer, North Dakota State University11th Floor Lecture Hall
3:15 - 3:30Combinatorics + Algebra -> Differential Geometry - Vit Tucek, University of Zagreb11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00Coding Sprints11th Floor Lecture Hall 
Friday, July 27, 2018
TimeEventLocationMaterials
9:00 - 9:45Coding Sprints11th Floor Lecture Hall 
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Use of Sage in my Research - Kyu-Hwan Lee, University of Connecticut11th Floor Lecture Hall
11:30 - 12:15Coding Sprints11th Floor Lecture Hall 
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 3:15Presentations of the week's work - Active Participants11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Coding Sprints11th Floor Lecture Hall 

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Lecture Videos

Independence Posets

Nathan Williams
University of Texas at Dallas
July 24, 2018

Introduction to Sage

Ben Salisbury
Central Michigan University
July 23, 2018