**Date & Time:** March 12; 15:30-17:00.

**Venue:** Ramanujan Hall

**Speaker:** Prof. J. K. Verma

**Title:**: Face Rings of Simplicial Complexes

**Abstract:** We will begin with Stanley's formula for the Hilbert series of the face
ring of a simplicial complex. Later we will prove that the face rings of
shellable simplicial complexes are Cohen-Macaulay. If time permits, we
shall sketch the solution by Stanley of the Upper Bound Conjecture.