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理学院2018-2019学年秋季休假周学术报告(1)

发布时间:2018-09-30

学 术 报 告

 

报告题目:On groups definable over p-adics with definable f-generic types

 

报告学者:姚宁远讲师

 

报告者单位复旦大学哲学系

 

报告时间2018年10月3日(星期三)下午1:00—2:00

 

 

报告地点机械楼101

 

摘要:The definable groups with definable f-generic types has been well understood in RCF context, which are exactly the definable trosion-free group. A result of Conversano, Onshuus, and Starchenko saying that any torsion free group definable in RCF is virtually isomorphic to a subgroup of  Tn(R), where Tn(R) is the group of all upper triangular n*n-matrices with nonzero diagonal entries. Since both RCF and theory of p-adics are distal dp-minimal theory, the concept of definable f-generic should be a useful tool to describe the analogs of torsion free o-minimal groups in p-adic context. In this talk we will show that every definable f-generic group definable in Qp is virtually isomorphic to a subgroup of Tn(Qp) ,where Tn(Qpis the group of all upper triangular 

n*n-matrices with nonzero diagonal entries.
 
报告人简介:姚宁远, 复旦大学哲学系逻辑教研室讲师,毕业于中山大学,从事数理逻辑的模型论研究。主要研究领域为模型论的稳定性理论,NIP理论,o-minimal理论,可定义顺从群。在Advances in Mathematics, Annals of Pure and Applied Logic, Communications in Algebra等一流期刊发表文章5篇。

 

主办教师:宋诗畅

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