# Global Analysis Seminar

Temple-Rutgers Global Analysis Seminar

Current contacts: Gerardo Mendoza (Temple) and Siqi Fu and Howard Jacobowitz (Rutgers)

The seminar takes place Friday 3:00 - 3:50 pm in Wachman 527 for talks at Temple, or 319 Cooper, Rm 110, for talks at Rutgers-Camden. Click on title for abstract.

• Friday April 20, 2018 at 03:00, 319 Cooper, Rm 110 (Rutgers-Camden)
TBA

Sönmez Şahutoğlu, University of Toledo

TBA

• Friday April 6, 2018 at 15:00, 319 Cooper, Rm 110 (Rutgers-Camden)
TBA

Stephen McKeown, Princeton University

TBA

• Friday February 9, 2018 at 15:00, Wachman 527

Siqi Fu, Rutgers University

In this talk, I will explain the proof of the following result due to C. Laurent-Thiebault, M.-C. Shaw and myself: Let $\Omega=\widetilde{\Omega}\setminus \overline{D}$ where $\widetilde{\Omega}$ is a bounded domain with connected complement in $\mathbb C^n$ and $D$ is relatively compact open subset of $\widetilde{\Omega}$ with connected complement in $\widetilde{\Omega}$. If the boundaries of $\widetilde{\Omega}$ and $D$ are Lipschitz and $C^2$-smooth respectively, then both $\widetilde{\Omega}$ and $D$ are pseudoconvex if and only if $0$ is not in the spectrum of the $\bar\partial$-Neumann Laplacian on $(0, q)$-forms for $1\le q\le n-2$ when $n\ge 3$; or $0$ is not a limit point for the spectrum of the $\bar\partial$-Neumannn Laplacian on $(0, 1)$-forms when $n=2$.