Pure mathematics colloquium -- Vincent Pilaud (CNRS and LIX, École Polytechnique)

Where: Mathematical Institute, Lecture Theatre D

Speaker: Vincent Pilaud CNRS and LIX, École Polytechnique

Title: From the associahedron to quotientopes, a journey in the combinatorics of lattice quotients of the weak order

The associahedron is a polytope whose vertices correspond to binary trees with n nodes and whose edges correspond to rotations between these trees. In this talk, Vincent Pilaud will review a classical construction of this polytope and present generalizations to related families of polytopes such as permutreehedra and quotientopes. Based on joint works with Viviane Pons (University of Orsay) and Francisco Santos (University of Cantabria).