|Date: Friday, October 06, 2017
Location: 3096 East Hall (4:00 PM to 5:00 PM)
Title: Linear matrices and their applications
Abstract: Abstract: A linear matrix is a matrix whose entries are linear expressions in a number of indeterminates. We can define a commutative rank as well as a non-commutative rank on linear matrices. Analyzing the combinatorics of several intermediate ranks that we define, we are able to efficiently compute the non-commutative rank. Notable applications include an efficient algorithm for non-commutative rational identity testing, polynomial bounds for the generators of various invariant rings associated to quivers, and equations for the border rank of tensors. This is joint work with Derksen.
Speaker: Visu Makam
Institution: University of Michigan