In Several Complex Variables Minisymposium:
Plurisubharmonic subextensions in manifolds
Barbara Drinovec Drnovšek, University of Ljubljana, Slovenia
Recently, F. Larusson and E. A. Poletsky proved a disc formula for the largest plurisubharmonic subextension of an upper semicontinuous function on a domain W to a larger domain X in a Stein manifold under suitable conditions on W and X. We present their result and discuss some other sufficient conditions for open sets W and X such that the disc formula holds.
On complex points of real submanifolds of codim 2
Marko Slapar, University of Ljubljana, Slovenia
A point p on a real codimension 2 submanifold Y in a complex manifold X is called complex if the tangent space to Y at p is a complex vector subspace of the tangent space to X at p. Complex points of real surfaces in complex surfaces are well understood. We will give an overview of the theory in higher dimensions and present some new results on the topic.