Speaker: Dr. Piotr Sniady,
Institution: University of Wroclaw and Texas A&M University
Title: Brown measure
Date: Friday, Aug. 31
Time: 4:00pm-5:00pm
Place: Milner 317
Abstract: Spectral distribution measure of an operator (called also its Brown measure) was introduced by L.G. Brown in the beginning of 1980s. This object was supposed to be an analogue of a probabilty measure on the complex plane which counts the eigenvalues of a given finite matrix. In the general case it provides a more detailed information than just the spectrum about some spectral properties of an operator.
In the recent years the Brown measure was studied in the context of operator algebras, free probability and random matrix theory. The most fascinating result is the partial solution of the invariant subspace conjecture due to Haagerup (2001).
During my talk I would like to present these results and possible directions
for future research without
getting involved in technical details.