报告题目：有限W-（超）代数

报 告 人：肖呼斯冷

时 间：2022年6月27日，6月29日，7月1日下午2:00-3:00

地 点：腾讯会议 : 843-3894-0761 会议密码：6个0

简 介：第1讲：有限W-代数 1.1 幂零轨道和阶化 1.2 有限W代数(Premet and Losev) 1.3 一维表示 第2讲：W-代数的有限维表示 2.1 Premet 猜想 2.2 有限维表示的分类 2.3 特征标公式 第3讲：有限W-超代数 3.1 （\tilde{W}, W,W_0） 3.2 表示理论

报告题目：Trace type Adams inequalities and Existence of the ext…

报 告 人：朱茂春

时 间：2022年6月30日（周四）下午 1:30-3:30

地 点：腾讯会议：445960195

简 介：In this talk, I will report our recent work on Trace Adams on bounded domains or half spaces. By using the classic blow-up analysis, we obtain a sharp second order Trace Adams type inequalities on the bounded domains with smooth boundary, and show the existence of the extremals. Furthermore, we can obtain several sharp Trace Trudinger-Moser-Adams type inequalities on the half-spaces by the harmonic extension, such as, Trace Adams inequalities of Li-Ruf type , and Trace Adams inequalities with the exact growth. This talk is based on the joint works with L. Chen, G. Lu and Q. Yang.

报告题目：Stable Phase Retrieval in Infinite-Dimensional Spaces

报 告 人：成诚

时 间：2022-6-28（星期二）上午10:10-11:10

地 点：六号楼二楼报告厅 M201

简 介：In finite-dimensional spaces, frames that allow phase retrieval are stable, with a finite stability constant; yet when one considers nested hierarchies of finite-dimensional approximation spaces these constants tend to infinity as the dimension grows, possibly suffering a “curse of dimensionality”, i.e. growth may be exponential in the dimension. In this talk, we will consider the locally stable phase retrieval for frames in infinite-dimensional or finite-but large-dimensional Banach spaces. To study the local stability of phase retrievable signals, we introduce the notion of “locally stable and conditionally connected” (LSCC) measurement scheme associated with frames. We then characterize the phase retrieval stability of the signal by two measures that are commonly used to quantify the connectivity of the graph: the Cheeger constant and the algebraic connectivity.