1.

Null holomorphic curves in C[sup]3 and the conformal Calabi-Yau problem

In this paper we survey some recent contributions by the authors to the theory of null holomorphic curves in the complex Euclidean space $\mathbb C^3$, as well as their applications to null holomorphic curves in the special linear group $SL_2(\mathbb C)$, minimal surfaces in the Euclidean space $\mathbb R^3$, and constant mean curvature one surfaces (Bryant surfaces) in the hyperbolic 3-space $\mathbb H^3$. The paper is an expanded version of the lecture given by the second named author at the Abel Symposium in Trondheim, Norway, in July 2013.

B.04 Guest lecture

COBISS.SI-ID: 17526873

2.

Complete proper holomorphic embeddings of strictly pseudoconvex domains into balls

Invited lecture at international conference

B.04 Guest lecture

COBISS.SI-ID: 17788761

3.

Bilinear embedding, heat flow and Bellman functions

Invited series of 3 hour lectures

B.04 Guest lecture

COBISS.SI-ID: 17630553

4.

Minimal surfaces and minimally convex domains

Invited lecture at international conference

B.04 Guest lecture

COBISS.SI-ID: 17414233

5.

Complete conformal minimal surfaces with Jordan boundaries in R[sup] 3

Invited lecture at international conference

B.04 Guest lecture

COBISS.SI-ID: 17296729