Mimar Sinan Güzel Sanatlar Üniversitesi Matematik Bölümü Seminerleri
Uniform Height Bounds
Haydar Göral
Koç University, Türkiye
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.
