EMGW03 — Singularity theory and hyperbolicity

The workshop focuses on recent equivariant techniques in enumerative geometry of holomorphic maps between complex manifolds. It will bring together researchers working on global singularity theory (multisingularity classes of holomorphic maps, Thom polynomials, multiple-point formulas), and on complex manifolds with positivity properties (hyperbolicity, ample cotangent bundle, jet differentials). The mini-courses aim to explain the central role of the Hilbert scheme of points on complex manifolds in these problems.