Friday, Feb 3, 2017 - 3:00pm - Allen 411
Unimodal and log-concave sequences in combinatorics
Dr. Russ Woodroofe, Mathematics, Msstate
Title: Unimodal and log-concave sequences in combinatorics
Abstract: A sequence of numbers is unimodal if the numbers go up, then go down, so that they have a single 'peak'. Many natural sequences in combinatorics are unimodal. Since unimodality is not preserved by a number of natural operations, it is often more convenient to deal with the more technical definition of log-concavity.
I'll give a general overview of this interesting topic. If time allows, I will present Major's recent proof that the f-vector of a cyclic polytope is log-concave.