ZUMA - Height theory, Arakelov geometry and Beilinson–Bloch heights

Venue: Lecture Hall of IASM


Time: March 416:00 - 17:00


Speaker: 宋寅翀 Yinchong Song (Peking University)


Abstract: 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.