代数群中的扭转及其产生的问题Torsion in algebraic groups and problems which arise |
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课程网址: | https://videolectures.net/8ecm2021_zannier_torison_algebraic/ |
主讲教师: | Umberto Zannier |
开课单位: | 8ECM会议 |
开课时间: | 2021-07-06 |
课程语种: | 英语 |
中文简介: | 自从高斯在割环上的研究以来,(交换)代数群中的单位根的算术,以及更普遍的扭点的算术,已经发展成为丰富而深入的理论。还提出了一些关于扭元之间代数关系的问题,例如在Manin-Mumford和Lang的众所周知的(以前的)猜想中。在演讲中,我们将特别沿着最后一个主题进行调查,重点关注关于阿贝尔变种族的截面所获得的扭值的最近的有限性结果。最后,我们将简要提及一些应用。 |
课程简介: | Since the investigations of Gauss on cyclotomy, the arithmetic of roots of unity and, more generally, of torsion points in (commutative) algebraic groups, has developed into rich and deep theories. Several problems were raised also concerning algebraic relations among torsion elements, as for instance in well-known (former) conjectures by Manin-Mumford and by Lang. In the talk we shall survey especially along this last topic, focusing on more recent finiteness results regarding torsion values attained by sections of families of abelian varieties. Finally, we shall briefly mention some applications. |
关 键 词: | 代数群; 扭转问题; 代数关系 |
课程来源: | 视频讲座网 |
数据采集: | 2024-05-28:liyq |
最后编审: | 2024-05-28:liyq |
阅读次数: | 4 |