Presented By: Learning Seminar in Algebraic Combinatorics - Department of Mathematics
Learning seminar in algebraic combinatorics: C(-)ambrian Lattice II : c-sortable elements and c-clusters
Paul Mammen
Building on the type A example from last week, we will explore Cambrian lattices for general Coxeter groups. For a Coxeter element c, we will introduce c-sorting words and c-sortable elements. We will see how these can be used to describe interesting lattice congruences and connect the quotient lattices to generalized associahedra via c-clusters and c-noncrossing elements.