Sai-Kee Yeung, Purdue U., USA

General type surfaces of smallest Euler characteristic, fake projective planes and Deligne-Mostow surfaces

 

The talk is about classification of smooth surfaces of general type with smallest possible Euler-Poincare characteristic, which is 3. We reduce the problem to classification of fake projective planes, rely on the joint work with Gopal Prasad on their classifications and apply a recent joint work with Martin-Deraux on a problem of Toledo related to Deligne-Mostow surfaces.