Abstract
This is a report on the Oberwolfach conference “Analysis, geometry and topology of singular PDE”, June 2-12, 2021. This workshop, held in an hybrid format, focused on the topology, geometry and geometric analysis of certain spaces with singularities: stratified spaces, compactifications of moduli spaces, spaces carrying a (singular) foliation, etc., and on the microlocal techniques, either in their classical forms or in more recent versions developed to handle singular PDE, or via the groupoid approach.
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