报告名称:The Brauer-Manin obstruction on algebraic stacks
报告专家:吕昌副研究员
专家所在单位:中国科学院
报告时间:2023.11.18,下午14:00
报告地点: 威廉希尔201
专家简介:吕昌于2010年在南开大学本科毕业,于2015年在中国科学院数学系统研究所获得博士学位。毕业后,他入职中国科学院信息系统研究所。他主要研究方向为:数论,算术代数几何和密码学。
报告摘要:The Brauer-Manin obstruction is an old topic in local-global principle of varieties. I will talk about Brauer-Manin obstruction on algebraic stacks and extend some classical results such as the exact sequence of Sansuc, descent theory of Colliot-Thélène and Sansuc, torsionness of Brauer groups and the prop-erties for Brauer-Manin sets such as descent along a torsor, product preserva-tion. This is a joint work with Han Wu.