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UC Berkeley Colloquium: The Partitionability Conjecture October 05, 2017 (04:10 PM PDT - 05:00 PM PDT)
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Location: 60 Evans Hall
Speaker(s) Caroline Klivans (Brown University)
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In 1979, Richard Stanley made the following conjecture: Every Cohen-Macaulay simplicial complex is partitionable. Motivated by questions in the theory of face numbers of complexes, the conjecture sought to bridge a combinatorial condition and an algebraic condition. Recent work of the speaker and collaborators resolves the conjecture in the negative. I will discuss the history and context of the conjecture, the counterexamples, the consequences, and the new questions we are now asking.

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