报告主题：On subfields of the Hermitian function field involving the involution automorphism
报告人：马立明 副教授 （扬州大学）
报告时间：2019年11月29日（周五）16:00
报告地点：校本部G508
邀请人：丁洋 副教授
主办部门：理学院数学系
摘要：A function field over a finite field is called maximal if it achieves the Hasse-Weil bound. Finding possible genera that maximal function fields can achieve has both theoretical interest and practical applications to coding theory and other topics. As a subfield of a maximal function field is also maximal, one way to find maximal function fields is to find all subfields of a maximal function field. Due to the large automorphism group of the Hermitian function field, it is natural to find as many subfields of the Hermitian function field as possible. In literature, most of papers studied subfields fixed by subgroups of the decomposition group at one point (usually the point at infinity). This is because it becomes much more complicated to study the subfield fixed by a subgroup that is not contained in the decomposition group at one point. In this talk, we study subfields of the Hermitian function field fixed by subgroups that are not contained in the decomposition group of any point except the cyclic subgroups. It turns out that some new maximal function fields are found.
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