时间：2020年12月19日 星期六 9:30-12:00

Time：December 19, 2020, Saturday，9:30-12:00

地点：西湖大学云栖校区4号楼409-411教室

Venue：Room 409-411, Building 4, Yunqi Campus

主讲人/Speaker: Dr. Yong Hu, Southern University of Science and Technology

主题/Title：Reduced norms of division algebras over complete discrete valuation fields of local-global type

摘要/Abstract：Let F be a complete discrete valuation field whose residue field k is a global field of positive characteristic p. Let D be a central division F-algebra of p-power degree. We prove that the subgroup of F^∗ consisting of reduced norms of D is exactly the kernel of the cup product map $\lambda\in F^*\mapsto (D)\cup(\lambda)\in H^3(F, \mathbb{Q}_{p}/\Z_{p}(2))$, if either D is tamely ramified or of period p. This gives a p-torsion counterpart of a recent theorem of Parimala, Preeti and Surech, where the same result is proved for division algebras of prime-to-p degree.

欢迎感兴趣的老师、同学参加，并共同讨论。

组织者：赵以庚

联系人：西湖大学理学院 杨老师yanghangli@westlake.edu.cn