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                * Princeton Discrete Math Seminar *
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Speaker: Daniel Zhu (Princeton)

Thursday 9th April, 3:00 in Fine Hall 224.

Title: Schur complements for tensors and multilinear commutative rank

We show that three notions of rank for matrices of multilinear forms
are equivalent. This result generalizes a classical result of Flanders, corrects
a minor hole in work of Fortin and Reutenauer, answers a question of Lampert on
the relation between the analytic and slice ranks of trilinear forms, and
establishes a special case of the conjecture that the analytic and partition
ranks of a tensor are equivalent. Joint work with Guy Moshkovitz.

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