Karol Palka

Title: Generalized Jacobian Conjecture for plane-like surfaces 

Abstract: 
In the 80'ties M. Miyanishi formulated a geometric version of the 
Jacobian Conjecture (“every e'tale endomorphism is proper”) and started 
studying it for complex varieties similar to affine spaces. We concentrate 
on a natural class containing the affine plane, Q-acyclic surfaces of 
negative Kodaira dimension, for many of which the conjecture remains open. 
PART 1: Infinite fundamental group. This is a joint project with A. Dubouloz.