Geometry and Topology

Speaker: Ivan Limonchenko (Toronto)

"On Koszul homology of face rings and toric topology -- CANCELLED"

Time: 15:30

Room: MC 108

In this talk we shall discuss certain relations between homological properties of Stanley-Reisner rings of simplicial complexes and topology of polyhedral products. A key result in this direction is the characterization of Golod rings over rationals in terms of their Poincaré series and loop homology of the corresponding moment-angle-complexes. Much more can be said if only flag simplicial complexes are considered. We shall see how the methods and objects of toric topology allow us to interprete the results on Poincaré series and Koszul homology of face rings as well as to get new results.