Lattice properties of acyclic pipe dreams
Time: 14:00 -- Location: LRI, 445
summary: Pipe dreams were introduced by Bergeron and Billey in order to study Schubert polynomials and encode the algebraic structure of the symmetric group. In particular, with well-chosen parameters, they have the combinatorial structure of the Tamari lattice, a well-known quotient of the weak order on permutations. In this presentation we will give some more general conditions resulting in pipe dreams sets isomorphic to quotients of weak order intervals in the symmetric group.