Speaker：Zhongpeng Mo（Suzhou University）

Time：2021-07-17 10:30

Location：Conference Room 686 at the 6th floor of Shuli Building at Haiyun Campus

Abstract:

We study a class of normalized special values of $L$-functions associated to elliptic curves (defined over $\mathbf{Q}$) and real quadratic fields. Under certain hypotheses, we are able to show that these are squares of rational numbers. This result is used to improve upon a theorem of Bertolini-Darmon about a $p$-adic Gross-Zagier type formula.