Kähler groups and complex hypersurfaces in direct products of Riemann surfaces
Date
12/03/2019
Horaire
14:00 à 15:00
Diffusion
Résume
I will discuss smooth complex hypersurfaces in direct products of Riemann surfaces and present a classification in terms of their fundamental groups. This answers a question of Delzant and Gromov on sub-varieties of direct products of Riemann surfaces for the smooth codimension one case. I will then proceed to explaining how the techniques developed in the proof can be applied to answer the three factor case of Delzant and Gromov’s question which subgroups of a direct product of surface groups are Kähler groups.