Seminario L2-invariants

https://www.icmat.es/rt/l2invariants2018/index.php

Jueves 22/2/2018
12:00, Aula Gris 1, ICMAT

Ponente: Lukasz Grabowski

(Lancaster)

Title: Almost commuting matrices with respect to the rank metric

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.