Time: 9h00, Wednesday, July 13, 2016
Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: Consider the field K of rational functions in one variable over the complex numbers with its natural derivation. Let L be a finite field extension of K with the derivation on K extended to L. Let f be an element in L and f' its derivative. Can the field norm of f'/f be expressed as an integral linear combination of logarithmic derivatives in K? I will discuss some explicit calculations done by Cristina Toropu in the quadratic case and some interpretations of them. I will then discuss the cubic case and hope the audience can contribute some suggestions for how to approach the general case.