Wintersemester 2025/26
Wintersemester 2025/26
23.09.2025 um 10:00 Uhr in 69/E23
Tarek Emmrich (Universität Osnabrück)
Minors of algebraic matrices
Motivated by applications to the recovery of sparse signals on graphs, we study conditions under which minors of algebraic matrices are nonvanishing. For eigenvector matrices, we establish a sufficient criterion ensuring nonvanishing minors. For Vandermonde matrices, and in particular for Fourier matrices (a special case), we build on Chebotarev’s theorem. We further extend this framework in two directions: a real version and a finite field version. The latter, in particular, yields new results for Fourier matrices of squarefree order.