Title: Locally free twisted sheaves of infinite rank
Abstract: Report on joint work with Minseon Shin and Max Lieblich. Whilst re-examining the equality of the Brauer group with the cohomological Brauer group we stumbled on the question of what happens when you weaken the question and allow infinite rank twisted sheaves and/or Azumaya algebras. This leads to all kinds of fun (open) questions and results on infinite rank vector bundles that I will report on in this talk.