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.