Koç Üniversitesi Matematik Bölümü Seminerleri
Classification of Quadratic Number Fields Using Diophantine Equations
Haydar Göral
İzmir Yüksek Teknoloji Enstitüsü, Türkiye
In this talk, we consider some Diophantine equations over number fields. Recall that a number field is a finite field extension of the field of rational numbers. We show that the finiteness of the set of all solutions of certain Diophantine equations determines quadratic number fields among all number fields. Along the way, we explain our motivation, we give many examples and relate the results to nonstandard analysis and arithmetic geometry.
NOT:
If you would like to attend the seminar online, please send an email to Asgar Jamneshan at ajamneshan@ku.edu.tr for the Zoom link. The Mathematics Seminar schedule can be found at https://mysite.ku.edu.tr/math-sci/
