Density of Zariski density for surface groups

Inkang Kim (1) , Pierre Pansu (2, 3)

1 Department of Mathematics
2 DMA - Département de Mathématiques et Applications - ENS Paris
3 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We show that a surface group contained in a reductive real algebraic group can be deformed to become Zariski dense, unless its Zariski closure acts transitively on a Hermitian symmetric space of tube type. This is a kind of converse to a rigidity result of Burger, Iozzi and Wienhard.

Mots clés: Reductive surface group; flexible representation; quadratic model; tube type symmetric domain

Domaines: Géométrie différentielle [math.DG]

Inkang Kim, Pierre Pansu. Density of Zariski density for surface groups. 2010. ⟨hal-00516835⟩