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The generic initial ideal of a matroid. December 14, 2012 (01:00 PM PST - 01:45 PM PST)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Thomas Kahle (Otto-von-Guericke-Universit├Ąt Magdeburg)
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We show that if a matroid is the truncation (=skeleton) of another matroid, then the generic initial ideal of its Stanley-Reisner ideal is level. In characteristic zero, the generic initial ideal is strongly stable and therefore admits an Artinian reduction by variables.

Consequently the h-vectors of truncations of matroids satisfy Stanley's
conjecture: They are Hilbert functions of Artinian monomial level algebras.
This is joint work with Alexandru Constantinescu and Matteo Varbaro.

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