The range of the double fibration transform

Abstract: On and off, for the past 20 years or so, Joe Wolf and I had been working on this transform. The input is the Dolbeault cohomology of certain homogeneous vector bundles and the output is solutions of certain invariant systems of partial differential equations. Perhaps we had bitten off more than we could chew. Some cases are straightforward. Others are unreasonably awkward. I’ll talk about our long draft article, especially its motivation and what still needs to be done.

differential geometrygeometric topologymetric geometry

Audience: researchers in the topic

( slides | video )

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Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Differential geometry.

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