Michelle Wachs from University of Miami

Eulerian polynomials and beyond

Michelle Wachs from University of Miami

The Eulerian polynomials, which were introduced by Euler over 200 years ago, are pervasive throughout discrete mathematics and arise in a variety of surprising ways. Over the years generalizations and q-analogs possessing fundamental properties of the Eulerian polynomials have been introduced. I will discuss some of these generalizations and describe intriguing connections with algebraic geometry, representation theory, symmetric functions and chromatic polynomials.