Algebra Seminar Title: Totally nonnegative matrices from a quantum perspective - Speaker: Tom Lenagan (University of Edinburgh)

Event Date: 

Monday, March 10, 2014 -
2:00pm to 3:00pm

Event Location: 

  • 4607B South Hall

Event Contact: 

Ken Goodearl

Email: goodearl@math.ucsb.edu

Speaker: Tom Lenagan (University of Edinburgh)

Title: Totally nonnegative matrices from a quantum perspective

Abstract: A real matrix is totally nonnegative if each of its minors is nonnegative, and is totally positive if each minor is greater than zero. We will outline connections between the theory of total nonnegativity and the torus invariant prime spectrum of the algebra of quantum matrices, and will discuss some new and old results about total nonnegativity which may be obtained using methods derived from quantum matrix methods. Most of the material is joint work with Stephane Launois and Ken Goodearl. (You don't need to know anything about quantum matrices to follow this talk.)