[iasmath-seminars] Reminder for today's Members' Seminar

[Anthony V. Pulido]

INSTITUTE FOR ADVANCED STUDY
School of Mathematics
Princeton, NJ 08540

Members' Seminar
Monday, October 30

To view mathematics in titles and abstracts, please click on the talk's 
link.


Topic: 		High density phases of hard-core lattice particle systems
Speaker: 	Ian Jauslin, Member, School of Mathematics
Time/Room: 	2:00pm - 3:00pm/S-101
Abstract Link:	http://www.math.ias.edu/seminars/abstract?event=129314

In this talk, I will discuss the behavior of hard-core lattice particle 
systems at high fugacities. I will first present a collection of models 
in which the high fugacity phase can be understood by expanding in 
powers of the inverse of the fugacity. I will then discuss a model in 
which this expansion diverges, but which can still be solved by 
expanding in other high fugacity variables. This model is an interacting 
dimer model, introduced by O.Heilmann and E.H.Lieb in 1979 as an example 
of a nematic liquid crystal. Heilmann and Lieb proved that the dimers 
spontaneously align, and conjectured that they do not exhibit long range 
positional order. I will present a recent proof of this conjecture.