Event № 1419

We generalize the fundamental graph-theoretic notion of chordality into
higher dimensional simplicial complexes by putting it into
a proper context within homology theory. We generalize some of the classical results of graph chordality to this context.
Time premitting, I will indicate its relation to the Hard Lefschetz theorem for toric varieties and applications to polytopes.
Joint work in progress with Karim Adiprasito and Jose Samper.