PC Seminar: From Kreweras to Gessel: A walk through patterns in the quarter plane
- Date: 2 March 2023, 10:15–11:15
- Location: Ångström Laboratory, Å64119
- Type: Seminar
- Lecturer: Sarah Jane Selkirk, University of Klagenfurt
- Organiser: Matematiska institutionen
- Contact person: Tiffany Lo
Welcome to this seminar held by Sarah Jane Selkirk, University of Klagenfurt, with the title "From Kreweras to Gessel: A walk through patterns in the quarter plane".
Abstract: The study of patterns in lattice paths is one of the major research topics within statistics on lattice paths. Several recent articles have developed the vectorial kernel method, which provides a general framework for studying patterns (and pattern avoidance) in directed lattice paths. In this talk I will discuss pattern avoidance in directed lattice paths and some first combinatorial steps towards studying pattern avoidance in the more complex case of the quarter plane, with unexpected links between famous models. This is joint work with Andrei Asinowski and Cyril Banderier.
This is a seminar in our seminar series on Probability and Combinatorics (PC).