Abstract Christian Miebach

Christian Miebach will speak on

Schottky groups acting on homogeneous rational manifolds

Abstract: In 1877 Schottky constructed free and proper actions of a free group of rank r on a domain in the Riemann sphere having as quotient a compact Riemann surface of genus r. In 1984 Nori extended this construction to any complex-projective space of odd dimension in order to produce compact complex manifolds having free fundamental group. Larusson as well as Seade and Verjovsky studied further properties of these quotient manifolds such as their algebraic and Kodaira dimensions and their deformation theory. In my talk I will explain a joint work with Karl Oeljeklaus where we have studied the question to which homogeneous rational manifolds Nori's construction can be generalized, and the new examples we have found. If time permits, I will also indicate what we can say about geometric and analytic properties of the quotient manifolds associated with these new examples.