Mimar Sinan Fine Arts University Mathematics Department Seminars

Uniform Height Bounds
Haydar Göral
Koç University, Turkey
Özet : We first define the height function and the Mahler measure on the field of algebraic numbers. The height function measures the arithmetic complexity of an algebraic number and it has some nice properties. Combining these properties with some model theoretic ideas, we explain how to obtain some uniform height bounds in polynomial rings. Time permitting, we mention Lehmer’s problem and a geometric model theoretic approach for this problem.
  Tarih : 23.02.2017
  Saat : 16:00
  Yer : Seminar room, Bomonti Campus, MSGSÜ
  Dil : English