"Geometry and Analysis on Groups" Research Seminar

Time: 2018.05.08, 15:15–17:00
Location: Seminarraum 9, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "Almost commuting matrices with respect to the rank metric."
Speaker: Łukasz Grabowski (Lancaster University)
Abstract: I will present my recent result with Gabor Elek, which deals with the variant of the "Halmos problem" for the rank metric. A particular case is as follows: if \(A\) and \(B\) are either unitary or self-adjoint matrices that almost commute with respect to the rank metric, then one can find commuting matrices \(C\) and \(D\) which are close in the rank metric to the matrices \(A\) and \(B\) respectively.