报告题目 (Title)：The dipolar Schramm-Loewner equation for multiple slits
中文标题: 多狭缝的偶极Schramm-Loewner方程
报告人 (Speaker)：蓝师义 教授（广西民族大学）
报告时间 (Time)：2023年6月15日(周四) 10:00-11:00
报告地点 (Place)：校本部D117
邀请人(Inviter)：席东盟、李晋、张德凯
主办部门：理学院数学系
报告摘要：Let ∑ be any finitely many slits in the strip region. Using Arzela-Ascoli Theorem it is first proved that the set of driving functions associated with ∑ is a compact subset of the Banach space C[0,1]. Next, based on the 1-slit dipolar Schramm-Loewner equation a family of Loewner equations corresponding to ∑ is constructed by the technique of step function. Utilizing the continuous dependence of Loewner chains and the pre-compactness of driving functions it is derived that ∑ can be generated by a dipolar Schramm-Loewner differential equation. Moreover, it is showed that the dipolar Schramm-Loewner equation is unique via employing the properties of hull capacity.
