Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
| Title: | On the period conjecture of Gross-Deligne for fibrations |
| Speaker: | 朝倉政典 (Masanori Asakura,北海道大学) |
| Time: | 2015-10-27, 17:00-18:00 |
| Place: | 110 |
| Abstract: | The period conjecture of Gross-Deligne asserts that the periods of algebraic varieties with complex multiplication are products of values of the gamma function at rational numbers. This is proved for CM elliptic curves by Lerch-Chowla-Selberg, and for abelian varieties by Shimura-Deligne-Anderson. However the question in the general case is still open. In this talk, we verify an alternating variant of the period conjecture for the cohomology of fibrations with relative multiplication.The proof relies on the Saito-Terasoma product formula for epsilon factors of integrable regular singular connections and the Riemann-Roch-Hirzebruch theorem. This is a joint work with Javier Fresan. |
| 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