Arakelov geometry over adelic curves

• 主讲人：Prof. Huayi Chen
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2022-06-16 21:00 - 2022-06-16 22:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/003A36414D9928A3A199EFE5BE0DF5E0
Valid Until: 2026-07-31 23:59

 

Abstract: Arakelov geometry is a theory of arithmetic geometry which combines algebraic geometry over an algebraic integer ring and complex analytic geometry to study the arithmetic properties of projective varieties over a number field. In a joint work with Atsushi Moriwaki, by using the adelic point of view of Chevalley and Weil, we extend Arakelov geometry to the setting of projective varieties over an arbitrary countable field. In this talk, I will explain the main ideas behind this theory, and the similarity and differences compared to the classical approach.

 

Bio: Huayi Chen is currently a Professor at Paris Diderot University and the Mathematics Institute of Jussieu–Paris Rive Gauche. He graduated from Peking University in 2000. In 2003, he got his Master's degree at Pierre and Marie Curie University. Then he got his PhD at Laurent Schwartz Mathematics Center, Ecole Polytechnique in 2006. His research interests include algebraic geometry, Arakelov geometry and Diophantine problems.