题目：G-Equivariant Szeg\H{o} Kernel Asymptotics on CR Manifolds

报告人🧗🏻‍♂️：邵国宽 副教授 （中山大学）

地点：腾讯会议室

时间：2021年11月19日（星期五） 9:00-10:30

摘要：Let $X$ be a compact connected orientable CR manifold of dimension $2n+1$ with non-degenerate Levi curvature, which admits a connected compact Lie group $G$ action. In this talk, we will discuss a Boutet de Monvel-Sj\"ostrand type theorem for $G$-equivariant Szeg\H{o} kernels $S_k^{(q)}$. When $X$ admits also a transversal CR $S^1$ action, we study the asymptotics of Fourier components of $S_k^{(q)}$. We will also show the coefficients of lower order terms in the asymptotic expansion when $X$ is strongly pseudoconvex. This talk is based on joint works with Chin-Yu Hsiao and Rung-Tzung Huang.

腾讯会议：ID：691 745 246

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