College of Liberal Arts & Sciences

# Mathematics Colloquium

**Abstract:**

Free entropy theory was created by Voiculescu as part of his program on free probability in the late 80's and early 90's. It was built to obtain structural results for von Neumann algebras. Recently, with work of Hayes in 2018, followed up with several recent works of Ben Hayes, David Jekel and myself in various collaborations, the study has blossomed into a mature level with various powerful applications to von Neumann algebra theory and structure of free group factors. I will survey these recent developments and describe various aspects of this theory.

*The Math Colloquium will be available live via Zoom at https://uiowa.zoom.us/j/99206823329 and recordings of the sessions will be available at https://uicapture.hosted.panopto.com/Panopto/Pages/Sessions/List.aspx?folderID=b23b61cc-a48a-4de7-99fc-ae46015b8b6e usually within a couple hours of the colloquium finishing.