Number Theory Seminar: David Roe

Abstract:

The study of numerical stability of algorithms for computing with polynomials and matrices over archimedian fields like R and C constitutes an entire branch of numerical analysis. The analogous problems over Qp have received far less attention. In this talk I will outline some number theoretic questions in which these problems arise, and describe joint work with Xavier Caruso in which we propose a general methodology for approaching them in practice.