Lattice walks at the Interface of Algebra, Analysis and Combinatorics (17w5090)


Marni Mishna (Simon Fraser University)

(Université de Bordeaux/ Centre national de la recherche scientifique)

(University of Pennsylvania)

(North Carolina State University)


The Banff International Research Station will host the "Lattice walks at the Interface of Algebra, Analysis and Combinatorics" workshop from September 17th to September 22nd, 2017.

Many physical phenomena are accurately modelled by walks on lattices, particularly those restricted between boundaries. Recent examples include polymers and queueing models. A deep understanding of the factors which influence the large scale behaviour of these models is essential to guide how to best design them. The functions which track the number of walks of a fixed length in a given model are key to this understanding, and turn out to be fascinating in their own right. Indeed, the study of lattice path models has intrigued researchers from combinatorics, probability, computer algebra, and differential/difference algebra. Lattice path models are an excellent testing ground for mathematical ideas, and techniques. This workshop brings together representatives from these different communities to answer longstanding conjectures, learn each other's techniques and to plan the directions for the future.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides
an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disc
iplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineeri
ng Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional
de Ciencia y Tecnología (CONACYT).