Cartan geometries 2

Andreas Cap (U of Vienna)

Aug 24. 2021, 09:30 — 10:30

In the second lecture, I will start by giving a more algebraic interpretation of the key ingredients needed in the construction of the conformal Cartan connection. In this interpretation, one then obtains a proof for existence and uniqueness of a Cartan description for all parabolic geometries and several other filtered G-structures. 
I will then discuss several general constructions relating Cartan geometries of different type (Fefferman constructions, extension functors, and holonomy reductions of Cartan geometries). Finally, I will discuss some general tool for the construction of differential operators naturally associated to Cartan geometries.

Further Information
ESI Boltzmann Lecture Hall
Slides 2
Associated Event:
Geometry for Higher Spin Gravity: Conformal Structures, PDEs, and Q-manifolds (Thematic Programme)
Xavier Bekaert (U Tours)
Andreas Cap (U of Vienna)
Stefan Fredenhagen (U of Vienna)
Maxim Grigoriev (Lebedev Inst. & Lomonosov Moscow SU)
Alexei Kotov (U Hradec Králové)