Proofs and computations: The story of alternating sign matrices and plane partitions in Sage
Monday, July 22, 2019 - 9:00am - 9:45pm
In this talk, we will give an introduction to using Sage in combinatorial research through the lens of alternating sign matrices and plane partitions. We will start by writing simple ‘for’ loops to iterate over these combinatorial objects; we will then create generating functions and visualize large random instances of these objects. We will also see how to build upon code already in Sage to create new classes of objects, using symmetry classes of plane partitions as an example. Along the way, we will discuss interesting open problems involving these objects and the importance of computation in this research.