Abstract. On pseudoconvex domains in several complex variables there is an interesting, although not so straightforward, connection between the analytical property of having a compact $\bar\partial$-Neumann operator and the geometric property of not having complex submanifolds inside the boundary. In this talk I will discuss the most relevant known results in this area and then sketch a result I recently obtained.
Compactness of the $\bar \partial$-Neumann operator and analytic discs in the boundary
14.03.2017 11:30 - 13:00
Location:
Seminar room 8, 2nd floor, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria