Surfaces in 3-space and their amoebas

The amoeba of a hypersurface in the complex torus is its image under the map $\mu\colon(x_1,\dots,x_n)\to(\log|x_1|,\dots,\log|x_n|)$. The shape of amoeba is especially peculiar when the hypersurface is real (i.e., invariant under complex conjugation). In the talk, special attention will be paid to the case of $n=3$, and a new theorem on the topology of surfaces in real toric 3-folds will be presented.