Speaker
Prof.
Simone Warzel
(TU Munich)
Description
In this talk I will explain an elementary derivation of the Pfaffian nature of boundary monomer correlation
functions in the dimer-covering problem on planar graphs.
The boundary monomer correlation functions are then extended into a larger family of order-disorder correlation
functions which are shown to exhibit Pfaffian structure throughout the bulk. Key tools which will be discussed
involve combinatorial switching symmetries which are identified through the loop-gas representation of the double
dimer model, and topological implications of planarity. This is joint work with Michael Aizenman and Manuel
Lainz Valcazar.
