School Seminars and Colloquia

Free fermions and plane partitions

Statistical Mechanics/Combinatorics Seminar

by Michael Wheeler

Institution: Department of Mathematics & Statistics, The University of Melbourne
Date: Thu 8th March 2007
Time: 3:15 PM
Location: Room 213 Richard Berry Building

Abstract: We compare and contrast the action of charged and
neutral free fermions. We show how charged fermions can be
used to construct regular partitions, whilst neutral fermions can be used to construct strict partitions.

Following Okounkov and Reshetikhin, we re-derive MacMahon's generating function for plane partitions, and present a new generating function which 2-enumerates diagonally strict plane partitions.

For More Information: Dr. Iwan Jensen Phone: +61 3 8344 5214