Title:  Tropical Welschinger invariants
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Abstract:  Welschinger invariants are designed to bound from below the
number of real rational curves which pass through a given real generic
collection of points on a real rational surface. In some
cases (for example, in the case of the projective plane)
these invariants can be calculated using Mikhalkin's approach
which deals with a corresponding count of tropical curves.

We will present the basic notions of tropical geometry
and, using the tropical approach,
will establish a logarithmic equivalence
of Welschinger and Gromov-Witten invariants
in several situations.