Approximation of Vertex-Transitive Graphs by Nilpotent Groups and Applications to Probability

Explore a 47-minute lecture on the approximation of vertex-transitive graphs by nilpotent groups and its applications to probability. Delivered by Matthew Tointon from the University of Bristol, UK, at the Banach Center conference on "Nilpotent structures in topological dynamics, ergodic theory and combinatorics" on June 8, 2023. Delve into advanced mathematical concepts at the intersection of graph theory, group theory, and probability. Gain insights into how nilpotent groups can be used to approximate vertex-transitive graphs and understand the implications for probabilistic applications. Held at the Institute of Mathematics of the Polish Academy of Sciences' Będlewo Mathematical Research and Conference Center, this talk offers a deep dive into cutting-edge research in mathematical structures and their practical applications.