Return to Colloquia & Seminar listing

### Euler-Mahonian Statistics via Polyhedral Geometry

**Algebra & Discrete Mathematics**

Speaker: | Ben Braun, University of Kentucky |

Location: | 2112 MSB |

Start time: | Tue, May 15 2012, 2:10PM |

A variety of descent and major-index statistics have been defined for symmetric groups, hyperoctahedral groups, and their generalizations. Typically associated to pairs of such statistics is an Euler-Mahonian distribution, a bivariate generating function identity encoding these statistics. We use techniques from polyhedral geometry to establish new multivariate generalizations for many of the known Euler-Mahonian distributions. The original bivariate distributions are then straightforward specializations of these multivariate identities. A consequence of these new techniques are bijective proofs of the equivalence of the bivariate distributions for various pairs of statistics. This is joint work with Matthias Beck.