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Seminar Details

Log-concavity and Cross Product Conjecture in Order Theory

  • Start Date: October 24, 2022
  • Event Start Time: 2:00 PM
  • Event End Time: 3:00 PM
  • Seminar Series: Rutgers Discrete Mathematics Seminar
  • Presenter(s): Swee Hong Chan - Rutgers University
  • Event Location: Hill Center-Room 705
  • Event Additional Info: <p>See:&nbsp;<a href="https://sites.google.com/view/rutgersdmseminar">https://sites.google.com/view/rutgersdmseminar</a></p>
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    The study of log-concave inequalities has played a central role in the study of the order theory. One such inequality is Stanley's inequality, which asserts the log-concavity of the sequence $(N_k)$ of the number of linear extensions of partial order for which the rank of a fixed element x is equal to k. In this talk we will discuss various generalizations of these results together with related open problems. This talk is joint work with Igor Pak and Greta Panova, and is intended for the general audience.