Plane partitions, double dimers and transfer matrices

Benjamin Young (U of Oregon, Eugene)

Oct 22. 2026, 10:30 — 11:30

This talk is a case study, in which I use a variant of the vertex operator / transfer matrix method to compute a double dimer partition function related to plane partition enumeration. The problem arises in rank 2 Donaldson-Thomas theory for Calabi-Yau threefolds (joint with Gholampour and Kool). The particular partition function I'm computing has a beautiful product form, in which 3 copies of Macmahon's various generating functions for plane partitions arise explicity - one bijectively, and two as scalar commutators. I expect the method to generalize substantially.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Statistical Mechanics and Combinatorics of Discrete Planar Structures (Thematic Programme)
Organizer(s):
Nathanael Berestycki (U of Vienna)
Michael Drmota (TU Wien)
Ilse Fischer (U of Vienna)
Mihyun Kang (TU Graz)
Astrid Kollros (U of Vienna)
Christian Krattenthaler (U of Vienna)
Marcin Lis (TU Wien)
Benedikt Stufler (TU Wien)
Fabio Toninelli (TU Wien)