András Némethi (Budapest, Hungary)
Normal Surface Singularities
Lecture 1: Resolutions of normal surface singularities References:
dual resolution graphs;
Hirzebruch-Jung singularities, other examples;
embedded dual resolution graphs;
plane curve singularities, other examples.
Lecture 2: The link of normal surface singularities
definition;
the link as plumbed 3-manifold;
the homology of the link.
Lecture 3: The resolution graph of suspension singularities
Jung's method;
the algorithm;
examples.
Lecture 4: Cyclic covers
Milnor fibrations of germs;
cyclic coverings of graphs;
universal cyclic covering of an embedded resolution graph;
connections with the monodromy action.