Makoto Enokizono (Osaka University)

Title: Slope inequality for fibered surfaces and Durfee's conjecture for 
surface singularities.


Abstract: In 1978, A. H. Durfee conjectured that the signature of the 
Milnor fiber of smoothings of a normal surface singularity is always 
non-positive (there is a counterexample of this conjecture for 
non-complete intersection case).
In this talk, I will explain that Durfee's conjecture is true for 
complete intersection surface singularities as an application of a slope 
inequality for certain fibered surfaces.