Integer-Valued Polynomials on a Square Matrix

Abstract: If B is an integer-square matrix, and f a polynomial with rational coefficients, then the evaluation f(B) is a square matrix with rational entries. We say f is integer-valued on B, if f(B) has integer entries. In this talk we discuss how to describe the set of integer-valued polynomials on a given square matrix B.

Speaker: Dr. Roswitha Rissner, University of Klagenfurt, Austria

Dr. Roswitha Rissner is currently a postdoctoral researcher at University of Klagenfurt (Austria). Her main research interests are algebra and number theory. In particular, she is interested in polynomials and polynomial functions, integer-valued polynomials, non-unique factorizations, linear algebra over commutative rings and matrix normal forms.

For more information, contact cenache@aus.edu.