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The Morgan model of a matroid
Algebraic Geometry and Number Theory| Speaker: | Graham Denham |
| Location: | Zoom |
| Start time: | Wed, Feb 9 2022, 11:00AM |
We construct a combinatorial abstraction of the Leray spectral sequence and Morgan model associated with tropical compactifications of a complex hyperplane arrangement complement. We show that its homological properties generalise the ones that we expect from topology in the realizable case. Geometric and Hodge-theoretic arguments are replaced by combinatorial blowups, Groebner bases, and sheaves on posets. This is joint work with Christin Bibby and Eva Maria Feichtner.