Date: Friday, February 26, 2016
Location: 4088 East Hall (3:10 PM to 4:00 PM)
Title: Polynomial degree bounds for matrix semiinvariants
Abstract: Even though the invariant ring for a representation of a reductive group is finitely generated, finding strong bounds for the degrees of generators has proved to be extremely difficult. We focus on the leftright action of SL(n)x SL(n) on mtuples of nbyn matrices. We show that invariants of degrees at most n(n1) define the null cone, and that consequently invariants of degree at most n^6 generate the invariant ring in characteristic 0. If time permits, we shall discuss the ramifications of our bound to algebraic complexity theory, such as a polynomial time algorithm for noncommutative rational identity testing.
This is joint work with Harm Derksen.
Files:
Speaker: Visu Makam
Institution: U. Michigan
Event Organizer:
