Time: September 14-October 26

         Tuesday 4-6pm, Wednesday 4-6pm

Venue：Room 77201，Jingchunyuan 78,BICMR(Tuesday),

            Room315, Science building 2(Wednesday)

 Abstract:

The study of complex abelian integrals, i.e. integrals of algebraic functions of one complex variable, was a major incentive to developcomplex algebraic geometry (some 150 years ago).  After brieflyexplaining the complex theory, I will study its analog in the p-adicworld: this provides a concrete introduction to p-adic Hodge theory, atheory that was originated by Tate some 50 years ago and was turnedinto one of most powerful tools of number theory.