DMS Graduate Student Seminar

Speaker: Daryl Granario

Title: Ballantine’s Theorem on Sp(2\(n\),ℂ)

Abstract: In a series of papers, Ballantine studied products of positive definite matrices and showed that every matrix with positive determinant is a product of at most five positive definite matrices. In this talk, we consider products of symplectic positive definite matrices and look at analogs of Ballantine’s results for the symplectic group Sp(2\(n\),ℂ).