9 Feb 2016; IMS (UiTø), room U1=A228. 12:15-13:05.

Lenka Zalabova (University of Southern Bohemia, Czech Rep)

“On automorphisms with natural tangent actions on homogeneous parabolic geometries”

We introduce the concept of automorphisms with natural tangent actions on Cartan geometries. We study mainly parabolic geometries and we focus on generalized symmetries that form a special class of automorphisms with natural actions on a distinguished distribution. Finally, we show consequences of existence of generalized symmetries on concrete types of homogeneous parabolic geometries.