报告题目：Strichartz estimates for the Schrödinger equation on t…

报 告 人：黄晓琦

时 间：2025年7月10日（周四）上午10:00-11:00

地 点：国交2号楼315会议室

简 介：We will discuss optimal space-time estimates in $L^q_{t,x}$ spaces for solutions to the Schrödinger equation on the standard round sphere, which is related to the results of Burq, Gérard and Tzvetkov (2004). The proof is based on the arithmetic properties of the spectrum of the Laplacian on the sphere, as well as local bilinear oscillatory integral estimates in harmonic analysis, which allow us to relate the problem to Strichartz estimate on one-dimensional tori. This is based on joint work with Christopher Sogge.

报告题目：Landau Damping

报 告 人：Quoc Hung Nguyen

时 间：2025年7月3日(星期四)下午16:00--17:00

地 点：国交2号楼315会议室

简 介：In this talk, I will present recent progress on the theory of Landau damping for the Vlasov–Poisson system, with an emphasis on nonlinear dynamics around various equilibrium states. The discussion will include both rapidly decaying equilibria and non-monotone, compactly supported profiles. I will also address extensions to the relativistic regime, highlighting new challenges and developments in this setting.

报告题目：Conjugations and complex symmetric operators over holo…

报 告 人：周泽华

时 间：2025年7月1日（周二）下午15:30-16:30

地 点：国交2号楼315会议室

简 介： In this talk, which is based on several recent works about complex symmetric operators over holomorphic function spaces of several complex variable. I will present the following results: （1）Several class of the conjugations on holomorphic function spaces of of some high-dimensional domains Omega on C^n; （2）Some sufficient and necessary conditions for Teoplitz operators to be complex symmetric with respect to these specific conjugations; （3）Whether does there exist any other complex symmetric operator on holomorphic function spaces or not?