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Home » GTC Graduate Seminar: Partitionable Extenders: A Combinatorial Interpretation of the h-vector

Seminar

GTC Graduate Seminar: Partitionable Extenders: A Combinatorial Interpretation of the h-vector December 11, 2017 (03:30 PM PST - 04:30 PM PST)
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Location: MSRI: Baker Board Room
Speaker(s) Joseph Doolittle (University of Kansas)
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Abstract/Media

The h-vector of a pure simplicial complex is of critical importance to combinatorialists and algebraists. When the complex is partitionable, a combinatorial interpretation for the h-vector is well known. In joint work with Bennet Goeckner and Alexander Lazar, we introduce a new construction which allows for an interpretation of the h-vector as an error term between a partitionable complex and a partitionable relative complex. This construction is inductive and is not minimal. We will briefly discuss minimality and some other issues that arise.

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