袁新意的报告，

1. 7月5号周日晚7：00pm-9：30pm,

Title:  Basic concepts in Arakelov theory

 This goal of this talk is to introduce some basic concepts of Arakelov theory. We will only work on arithmetic curves and arithmetic surfaces. The topics includes Arakelov divisors, hermitian line bundles, intersection numbers, and the arithmetic Riemann-Roch theorem.

 2.  7月9号下午3：00pm-5:00pm.

Title:  On the Averaged Colmez Conjecture 

 The Colmez conjecture expresses the Faltings height of a CM abelian variety in terms of the logarithmic derivatives of certain Artin L-functions. In this talk, I will focus on an averaged version of the conjecture, which is proved in my recent joint work with Shou-Wu Zhang. Combining with the recent work of Jacob Tsimerman, the Andre-Oort conjecture for Siegel modular varieties is proved to be true.