Parabolic geometries and the exceptional group G2

Lundi 2 décembre 2019 15:30-16:30 - Katia Sagerschnig

Résumé : I will give an introduction to parabolic geometries : these are Cartan geometries modelled on homogeneous spaces of the form G/P, where G is a semisimple Lie group and P is a parabolic subgroup. As a main example of a parabolic geometry, I will discuss the geometry of generic rank two distributions on five manifolds, which is related to the exceptional simple Lie group G = G2. I will review some history, some recent developments, and explain some of the methods used in the field.

Lieu : IMO ; salle 3L8.

Parabolic geometries and the exceptional group G2  Version PDF