Speaker: Richard Kenyon (Yale University)

Time: June 13-15, 2023. Tue, Wed, Thu at 10-12

Lecture room: Exactum, D122

at the Department of Mathematics and Statistics, University of Helsinki

Abstract: The dimer model is the study of random dimer covers (perfect matchings) of a bipartite graph on a surface. The dimer model has remarkable connections with other parts of mathematics, from conformal field theory to integrable systems to representation theory. 

Webs are representation-theoretic objects, defined by Greg Kuperberg to study invariants in tensor products of SL_3 representations. We’ll discuss recent results on large-scale structures (webs) in random multiple-domino tilings, and their conformal invariance properties. These talks are based on joint work with David Wilson, Daniel Douglas, Haolin Shi.