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Boolean representations of matroids and simplicial complexes with applications to semigroups

Algebra & Discrete Mathematics

Speaker: John Rhodes, UC Berkeley
Location: 2112 MSB
Start time: Mon, Dec 2 2013, 2:10PM

The definition of a boolean representation of a matroid and a simplicial complex will be given. A general theory will be outlined including that all matroids have boolean representations and calculating the minimum boolean representations of some classical matroids. Relations with the shellability of a simplicial complexes will be considered. Finally applications to semigroups will be given.

This is current research with Pedro Silva, based on some previous research by Zur Izhakian and the author.

Part 1
Part 2
Part 3

Note: Special time!