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Stratified spaces: joining analysis, topology and geometry. Abstracts from the workshop held December 11–17, 2011. (English) Zbl 1349.00051

Summary: For manifolds, topological properties such as Poincaré duality and invariants such as the signature and characteristic classes, results and techniques from complex algebraic geometry such as the Hirzebruch-Riemann-Roch theorem, and results from global analysis such as the Atiyah-Singer index theorem, worked hand in hand in the past to weave a tight web of knowledge. Individually, many of the above results are in the meantime available for singular stratified spaces as well. The 2011 Oberwolfach workshop “Stratified Spaces: Joining Analysis, Topology and Geometry” discussed these with the specific aim of cross-fertilization in the three contributing fields.

MSC:

00B05 Collections of abstracts of lectures
00B25 Proceedings of conferences of miscellaneous specific interest
57-06 Proceedings, conferences, collections, etc. pertaining to manifolds and cell complexes
57N80 Stratifications in topological manifolds
58A35 Stratified sets
32S60 Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects)
55N33 Intersection homology and cohomology in algebraic topology
57R20 Characteristic classes and numbers in differential topology
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References:

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