Nematic liquid crystal phase in a system of interacting dimers

Analysis Seminar
Topic:Nematic liquid crystal phase in a system of interacting dimers
Speaker:Ian Jauslin
Affiliation:Member, School of Mathematics
Date:Wednesday, October 25
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/analysis/2017/1025-IanJauslin

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.