Henning Ulfarsson: Lessons learned from building the Tilescope algorithm

Abstract: I will give a quick introduction to pattern-avoiding permutations, which have connections to several other combinatorial objects, and the topic of enumerating permutation classes. Then I will discuss lessons learned from building the Tilescope algorithm for automating the enumeration of permutation classes, which is an ongoing project with several collaborators. Results from the project can be viewed at www.permpal.com. Right now, we are expanding the algorithm to be able to work with Cayley permutations, mesh patterns, permutation statistics and more powerful methods for the enumeration of permutation classes and related objects.