|Topic:||Nematic liquid crystal phase in a system of interacting dimers|
|Affiliation:||Member, School of Mathematics|
|Date:||Wednesday, October 25|
|Time/Room:||2:00pm - 3:00pm/S-101|
In 1979, O. Heilmann and E.H. Lieb introduced an interacting dimer model with the goal of proving the emergence of a nematic liquid crystal phase in it. In such a phase, dimers spontaneously align, but there is no long range translational order. Heilmann and Lieb proved that dimers do, indeed, align, and conjectured that there is no translational order. I will discuss a recent proof of this conjecture. This is joint work with Elliott H. Lieb.