Title: On certain special values of $L$-functions associated to elliptic curves and real quadratic fields Speaker: Prof. Chung Pang Mok (Soochow University) Time: 2020-9-24, 16:30-17:30 Place: http://www.mcm.ac.cn/activities/programs/znts 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. Attachment: