Discrete Math Seminar: Bennet Goeckner
Topic
Resolving Stanley’s conjecture on k-fold acyclic complexes
Speakers
Details
In 1993, Stanley showed that if a simplicial complex is acyclic over some field, then its face poset can be decomposed into disjoint rank 1 boolean intervals whose minimal faces together form a subcomplex. Stanley further conjectured that complexes with a higher notion of acyclicity could be decomposed in a similar way using boolean intervals of higher rank. We provide an explicit counterexample to this conjecture. We also prove a special case of the conjecture, and show that a weaker decomposition into boolean trees always exists. This is joint work with Joseph Doolittle.
Additional Information
Location: ESB 4127
Bennet Goeckner, University of Washington
Bennet Goeckner, University of Washington
This is a Past Event
Event Type
Scientific, Seminar
Date
September 17, 2019
Time
-
Location