Invariants of Matrices

Series
Algebra Seminar
Time
Monday, April 17, 2023 - 10:20am for 1.5 hours (actually 80 minutes)
Location
Skiles 005
Speaker
Harm Derksen – Northeastern University – ha.derksen@northeastern.eduhttp://www.math.lsa.umich.edu/~hderksen
Organizer
Abeer Al Ahmadieh

The group SL(n) x SL(n) acts on m-tuples of n x n matrices by simultaneous left-right multiplication.  Visu Makam and the presenter showed the ring of invariants is generated by invariants of degree at most mn^4. We will also discuss geometric aspects of this action and connections to algebraic complexity and the notion of noncommutative rank.