Today's seminar will feature a talk by Samuel Watson from MIT. Sam will
tell us about interactions between CLE and GFF (full title and abstract
below). See you this afternoon!
Seminar Time & Location: 3:30pm in MSB 109A
Title: A conformally invariant metric on the Gaussian free field loops
Abstract:
We will discuss an exploration process, introduced by Wendelin Werner and
Hao Wu, in which conformal loop ensemble (CLE(kappa)) loops grow uniformly
from the boundary of a domain. We relate this process in the case kappa = 4
to the set of level loops of the zero-boundary Gaussian free field, and we
use this point of view to show that the exploration process is a
deterministic function of the CLE loops. We describe how this gives rise to
a conformally invariant metric on CLE(4), which we conjecture can be given
a natural geometric interpretation.
Based on joint work with Scott Sheffield and Hao Wu.
*Current & Upcoming Seminar Talks*
* May 1 - Samuel Watson (MIT)*
May 8 - Hao Wu (MIT)
--
*Dr. Matthew Badger*, Assistant Professor
Department of Mathematics, University of Connecticut
www.math.uconn.edu/~badger/
