Xiaojun Huang, Rutgers U., USA

On the complex structure of a Bishop surface near Vanishing Bishop invariant

For a real analytic surface in a complex space of dimension two, the complex structure at a totally real point is trivial. However, at a point with a complex tangent, the structure would be quite rich. The first invariant in this regard was introduced by E. Bishop. In this talk, we will dicuss the local equivalence problem for such a surface near a point with vanishing invariant. This is a joint work with Wanke Yin from Wuhan University.