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 and symmetric functions.

There will be a reception prior to the lecture at 3:30 p.m. in 745 Patterson Office Tower.