Event Date
2012-03-12
Event Time
02:30 pm ~ 03:20 pm
Event Location
Wachman 617
Abstract: In 1979 Joseph J. Kohn defined ideal sheaves of multipliers and an algorithm for producing these in order to investigate the subellipticity of the $\overline{\partial}$ Neumann problem on pseudoconvex domains in $\mathbb{C}^{n}$. I will be discussing the properties of these sheaves in the cases when the boundary is smooth, real-analytic, and Denjoy-Carleman. I will show that in the smooth case these ideal sheaves are quasi-flasque, and I will discuss coherence in the real-analytic case. The Denjoy-Carleman case is intermediate between the two, and I will show to what extent the nice properties of the real-analytic case transfer over.