A primer on parabolic geometries

28.11.2023 09:45 - 11:15

Andreas Cap (University of Vienna)

I will give an introduction to geometric structures (in the sense of differential
geometry) and to Cartan geometries. Classification results for G-structures indicate a special
role for structures for which the homogeneous model is a generalized flag variety. These are
known as parabolic geometries and contain examples like conformal structures, CR structures of
hypersurface type and several types of generic distributions. I will focus on aspects that are 
relevant for algebraic geometry and contact geometry.

A. Keating, B. Szendroi, V. Vertesi

SR 7, 2. OG., OMP 1