Arrangements and beyond: Combinatorics, geometry, topology and applications
timetable:
Thu 8 Jun, 14:30 - 15:10, Aula Dini
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A Leray model for Orlik-Solomon algebras
speaker: Eva Maria Feichtner (University of Bremen)abstract: Although hyperplane arrangement complements are rationally formal, we note that they have non-minimal rational (CDGA) models which are topologically and combinatorially significant, in view of recent work of Bibby and Dupont, as well as foundational results of De Concini and Procesi. We construct a family of CDGAs which interpolates between the Orlik-Solomon algebra and the cohomology algebras of arrangement compactifications. Our construction is combinatorial and extends to all matroids, regardless of their (complex) realizability. The approach makes use of the notion of combinatorial blowups F & Kozlov as well as ideas in previous work with Yuzvinsky. This is joint work with Christin Bibby and Graham Denham.
timetable:
Thu 8 Jun, 14:30 - 15:10, Aula Dini
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