Người báo cáo: Giáo sư W. Cherry, Univ. Northern Texas, USA
Thời gian: 9h, Thứ tư, ngày 13/7/2016
Địa điểm: Phòng 6, Nhà A14, Viện Toán học
Tóm tắt: 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. |
