The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on June 3, 2014 at 14:00 in Room 478 of IMI.

A talk on:

„Local properties of complex convex domains”

will be delivered by Ljubomir Andreev.

Everybody is invited.

Abstract.
In this talk there will be considered several connected to each other notions of convexity of domains which generalize the classical notion of convexity, namely complex convexity, weak local linear convexity, weak local convexity and pseudoconvexity. Under concrete assumptions about the type of convexity of one domain and the smoothness of its boundary we establish some local properties connected with the existence of subdomains with the same type of convexity and smoothness of the boundary, which contain sections of the domain with open balls.