Several Complex Variables Meeting, UiO&NTNU
10:15-11:00 Erik Løw - The Calabi-Yau problem for minimal surfaces and null curves.
11:15-12:00 Barbara Drnovsek - Minimal hulls and null hulls.
15:00-16:00 Erlend F. Wold: Oka properties of complements of totally real manifolds.
17:30- Dinner at Asylet.
Title: The Calabi-Yau problem for minimal surfaces and null curves.
Abstract : We will go through a paper of Antonio Alarcon and Franc
Forstneric. The main result is that every bordered Riemann
surface admits a complete proper null holomorphic embedding
into the unit ball of C^3. The real and imaginary of such
an embedding provide complete conformal bounded minimal immersions
into R^3, thereby solving a problem of Calabi and Yau.
Title: Minimal hulls and null hulls
Abstract: I will introduce minimal hulls of compact sets in $\mathbb R^3$ and null hulls of compact sets in $\mathbb C^3$ and I will present a characterization of these hulls by sequences of conformal minimal discs for minimal hull and by sequences of null discs for null hull.
Erlend F. Wold
Title: Oka properties of complements of totally real manifolds.
Abstract: We will show that C^n\setminus R^k, k<n, satisfies the CAP_m-property for $m<n$.