Mathematics Colloquium

Speaker: 
Professor Thomas J. Sinclair, Department of Mathematics, Purdue University
Topic: 
Matrix Systems, Duality, and the Noncommutative Order

Abstract:

A matrix (or matricial) system is a linear subspace of the complex n-by-n matrices which contains the identity and is closed under taking conjugate transposes of the elements. Matrix systems and their dual spaces possess a rich and complicated higher-level ordered vector space structure which has applications to linear programming and quantum information theory. I will discuss some recent work of my own, joint with Roy Araiza, Colton Griffin, and Aneesh Khilnani, in these directions as well as point out challenges and open problems.

 

 

 

*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.

Event Date: 
April 6, 2023 - 3:30pm
Location: 
213 MLH and Online (see URL)
Calendar Category: 
Colloquium