Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)

Extended abstracts listed by author > Goeckner Bennet

Monday 4
Combinatorics
Marni Mishna
› 11:00 - 11:30 (30min)
› Djavad Mowafaghian Cinema
A non-partitionable Cohen–Macaulay simplicial complex
Art M. Duval  1  , Bennet Goeckner  2  , Caroline J. Klivans  3  , Jeremy Martin  2@  
1 : University of Texas At El Paso
2 : University of Kansas
3 : Brown University

A long-standing conjecture of Stanley states that every Cohen–Macaulay simplicial complex is partition- able. We disprove the conjecture by constructing an explicit counterexample. Due to a result of Herzog, Jahan and Yassemi, our construction also disproves the conjecture that the Stanley depth of a monomial ideal is always at least its depth. 



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