Many quantum statistical mechanics systems can be represented by loop s oups. In some cases it has been proved\, in others conjectured\, that phas e transitions are characterised by changes in the structures of the corres ponding loops. There are many such loops and the joint distribution of the ir lengths is conjectured to always (hence "\;universality"\; in t he title) converge to the Poisson-Dirichlet distribution in three and high er dimensions.

This talk will start with a definition of loop soups\ , list some heuristics to determine if a system can be written in terms of loops\, and give a sketch of Schramm'\;s proof for universality of a m ean field model.

LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS T Austria ORGANIZER:jdeanton@ist.ac.at SUMMARY:Universality of loop soups URL:https://talks-calendar.app.ist.ac.at/events/1201 END:VEVENT END:VCALENDAR