时间：2024年5月15日（星期三）14:00-15:00
地点：西湖大学云谷校区E4-233
主讲人：Thomas Geisser, Rikkyo University
报告题目：Brauer groups and Neron-Severi groups for surfaces over finite fields
报告摘要：For a smooth and proper surface over a finite field, the formula of Artin and Tate relates the behaviour of the zeta-function at $1$ to other invariants of the surface. We give a refinement which equates invariants related to the Brauer group to invariants to the Neron-Severi group. If time permits we give some applications for abelian surfaces. For example, the largest Brauer group over a field of order q=p^{2r} has order 16q, and the largest Brauer group of a supersingular abelian surface over a prime field is 36.
