数论与表示论讨论班:宋寅翀 Height theory, Arakelov geometry and Beilinson–Bloch heights



地点: 数学高等研究院报告厅
时间: 3月4日,16:00 - 17:00
主讲人: 宋寅翀 Yinchong Song (北京大学)
摘要:In this talk, we first give an introduction to height theories and Arakelov geometry, including heights on elliptic curves, various ways to define a height function, and some important theorems and applications of Arakelov geometry. After that, we focus on Yuan–Zhang's adelic line bundles and Beilinson–Bloch heights. In the end, we will discuss my recent work about Beilinson–Bloch heights.