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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Special Combinatorics Seminar
Richard Stanley
MIT
Unimodality and real zeros of P-Eulerian polynomials
Abstract:
The $P-$Eulerian polynomial $W_P(x)$ of a finite naturally labelled poset $P$ is the generating function for linear extensions of $P$ by number of descents. We will discuss some recent work related to the question of whether the coefficients of $W_P(x)$ are unimodal and whether $W_P(x)$ has real zeros. In particular we will explain the beautiful work of Branden on sign-graded posets.
Host: Adriano Garsia
November 15, 2006
3:30 PM
AP&M 6402
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