Title: Superpositivity of L-functions and "completion of square" Speaker: Prof. Wei Zhang (MIT) Time: 2018-1-12, 10:30-11:30 Place: Lecture;Hall;of;Siyuan;Building Abstract: We explain how Riemann hypothesis and its generalization imply the positivity of the special values of all derivatives of normalized L-functions. This rises a question: can one interpret these positive values as squares? We present some examples of such interpretations, in the joint work with Xinyi Yuan and Shouwu Zhang over number fields on Gross-Zagier formula, and with Zhiwei Yun over function fields on Higher Gross-Zagier formula respectively. Attachment: intro higher GZ.pdf