Frank Loray (Rennes): Neighbourhoods of elliptic curves in complex surfaces

Abstract:

We consider the problem of classification of neighbourhoods of smooth
complex compact curves embedded in complex surfaces. We first recall some old
results of Grauert, Arnol'd, Ilyashenko. In a recent joint work with Frederic
Touzet and Sergei Voronin, we obtain the analytic classification of neighbourhoods
of smooth elliptic curves in complex surfaces when the normal bundle is torsion.