Pure Maths Seminar: Ellen Powell

Wednesday 27 October 2021, 3:00pm to 4:00pm

Venue

PSC - PSC LT - View Map

Open to

Postgraduates, Staff, Undergraduates

Registration

Registration not required - just turn up

Event Details

Brownian excursions, conformal loop ensembles and critical Liouville quantum gravity

“Conformal Loop Ensemble (CLE) decorated Liouville quantum gravity (LQG)” is a continuum model in random planar geometry that is expected to describe the scaling limit of various discrete statistical physics models. More precisely, models of “random geometries” which come equipped with loop configurations (for example, describing interfaces in the system). I will discuss encodings of CLE decorated LQG by Brownian excursions; seemingly simpler objects for which we already have a developed theory. These encodings allow us to analyse various observables of interest in the CLE/LQG model. Part of this talk will be based on joint work with Juhan Aru, Nina Holden and Xin Sun.

Speaker

Ellen Power

Durham University

Contact Details

Name Dirk Zeindler
Email

d.zeindler@lancaster.ac.uk

Telephone number

+44 1524 593644