Guest: Enis Kaya, KU Leuven
Title: A journey into the world of p-adic heights
Date: December 20, 2023, 09.40-10.30
Location: FENS L062
Abstract: In Diophantine geometry, height functions measure the “size” of rational points on algebraic varieties. Such functions play a central role in defining and computing several interesting invariants in arithmetic geometry. A p-adic height function can be regarded as a “local” analogue of a classical height function, where p is a prime number, and there are several p-adic height functions in the literature. In this talk, we will journey into the world of p-adic heights. In particular, we will discuss the relationships among different p-adic heights and algorithms to compute them numerically.
Bio: Dr. Enis Kaya finished his bachelors in Mimar Sinan University of Fine Arts in 2015, masters in Koç University in 2017, and his doctorate in Gröningen University (Netherlands) in 2021, all in mathematics. He had a post-doctoral position in Max Planck Institute in Leipzig, Germany between 2021-2022, and he is currently a post-doctoral researcher in KU Leuven in Belgium. He specializes in effective methods in arithmetic geometry and number theory, classical algebraic geometry, and tropical geometry.