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Partial G-structures and partial Cartan geometries

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TWT - Twistor theory

The concepts of G-structures and of Cartan geometries admit a naturalgeneralization to a setting which is most naturally interpreted as smooth families ofstructures on the leaves of foliations. A key feature of this generalizations is that manyresults relating purely algebraic information on the involved Lie groups and their Liealgebras to geometric properties of the structures remain valid. In particular, appropriateversions of constructions of canonical Cartan geometries from G-structures canbe generalized to this setting. In my talk, I will introduce the general concepts anddiscuss the construction of canonical Cartan connections in the case of AHS -structures(j1j-graded parabolic geometries).

This talk is part of the Isaac Newton Institute Seminar Series series.

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