3:45PM: Serre Condition (S_r) for Simplicial ComplexesBrent HolmesFor a fixed integer r, Serre's condition (S_r) is a condition on the depth of a ring at various localizations. It can be viewed as a weakening of the CohenMacaulay condition. In this talk, we focus on Serre's condition for StanleyReisner rings. The first main topic will be the relationship between Serre's (S_2) condition and Hirsch type bounds on the diameter of the dual graph. The second topic is some homological properties of StanleyReisner rings with (S_r) condition using higher nerves.

5:00PM: No seminarn/an/a
