Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
| Title: | The Hasse-Weil zeta function of modular curves(II) |
| Speaker: | William Casselman () |
| Time: | 2015-4-22, 15:30-17:00 |
| Place: | 610 |
| Abstract: | More than 50 years ago, Eichler first proved that the Hasse-Weil zeta function of a modular curve was the same as one of Hecke's. New proofs of this were given by Shimura, Ihara, and then Langlands.Langlands' methods have since been extended to include many other modular varieties, but his original paper was necessarily complicated, since it proved quite a bit more than the basic result. A full and elementary account of it does not apparently exist. That is what I hope to present in four lectures. I'll also comment on later generalizations. Outline: a. Introduction b. The basic equation c. Counting elliptic curves over finite fields d. Applying the Trace Formula |
| Attachment: |
中国科学院晨兴数学中心2014-2019版权所有 京ICP备05002806号
北京市海淀区中关村东路55号 邮政编码：100190
电话：86-10-82541165 Email: mcmadmin@math.ac.cn