科学研究
报告题目:

The Gauss problem for central leaves

报告人:

余家富 研究员(中研院数学所)

报告时间:

报告地点:

腾讯会议 会议号:294 176 036

报告摘要:

For a given family of number fields, the Gauss problem asks the list of those of class number one. The most famous solution (Heegner, Baker, Stark) tells us that there are exactly 9 imaginary quadratic fields of class number fields. The central leaves are the subvarieties in the Siegel modular variety $A_g$ modulo $p$ in which points share the same geometric $p$-divisible groups. In this talk we will discuss the geometric analog: when a central leaf consists of only one points,and explain ingredients of the proof. This is based on the joint work with Tomoyoshi Ibukiyama and Valentijn Karemaker.