Abstract for the talk on 08.09.2020 (11:00 h)Seminar on Nonlinear Algebra
Alexey Bufetov (Hausdorff Center for Mathematics, Universität Bonn, Germany)
Random walks on Hecke algebras and interacting particle systems
Interacting particle systems such as Asymmetric Simple Exclusion Process (=ASEP) form an interesting and well-studied class of stochastic systems.
It turns out that multi-species versions of several of interacting particle systems, including ASEP, can be interpreted as random walks on Hecke algebras. In the talk I will discuss this connection and its recent probabilistic applications. No preliminary knowledge about the topic is required.