Speaker:
Jake Fillman
Institution:
Rice University
Time:
Tuesday, October 7, 2014 - 1:00pm to 2:00pm
Host:
Location:
RH 440R
Homogeneity of closed sets was introduced by Carleson in a 1983 paper which solved the Corona problem on a general class of domains in the complex plane. Recent results of several authors have shed light on the importance of homogeneity from the point of view of inverse spectral theory. I will present some recent work which constructs several large classes of limit periodic operators whose spectra are Carleson-homogeneous Cantor sets.