When speaking of differential geometry, it is Riemannian geometry that first springs to mind. But there are many other equally well motivated notions of geometry: classical examples include conformal, projective, and CR. In fact, alternative geometric structures abound. Some are now collected under the auspices of parabolic differential geometry but there are still others. This Simons Semester will discuss and develop these various geometries and the interaction between them.
A key principle and unifying theme is one of symmetry. To justify its study from this viewpoint, a geometry should have a most symmetrical incarnation with an abundance of symmetries. In other words it will be a homogeneous space. Surprisingly, many characteristics of the homogeneous model seem to persist in the curved setting.
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In all publications related to your stay at the Symmetry and Geometric Structures Simons Semester at the IMPAN please include an acknowledgement of the following type:
"This work was partially supported by the Simons - Foundation grant 346300 and the Polish Government MNiSW 2015-2019 matching fund.”
Participants are also kindly requested to add the report number BCSim-2017-s06 to all Semester related papers posted on arxiv.org.