Morningside Center of Mathematics

Chinese Academy of Sciences

中国科学院晨兴数学中心

Morningside Center of Mathematics

Chinese Academy of Sciences

Title: | The Hasse-Weil zeta functions of orthogonal Shimura varieties |

Speaker: | Yihang Zhu (Harvard University) |

Time: | 2017-6-15, 9:30--10:30 |

Place: | 610 |

Abstract: | Initiated by Langlands, the problem of computing the Hasse-Weil zeta functions of Shimura varieties in terms of automorphic L-functions has received continual study. The strategy proposed by Langlands, later made more precise by Kottwitz, is to compare the Grothendieck-Lefschetz trace formula for Shimura varieties with the trace formula for automorphic forms. In the particular case of orthogonal Shimura varieties, we discuss the proof of Kottwitz's conjectural comparison (between the intersection cohomology of their minimal compactifications and the stable trace formulas). Key ingredients include point counting on these Shimura varieties, Morel's theorem on intersection cohomology, and explicit computation in representation theory mostly for real Lie groups. |

Attachment: |

中国科学院晨兴数学中心2014-2017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：86-10-82541460 Email: gqtie@math.ac.cn