**Date & Time:** Monday, August 3, 2015, 14:00-15:30.

**Venue:** Room 216

**Speaker:** Anjan Gupta, IIT Bombay

**Title:** Resolutions of Monomial ideals

**Abstract:** In this series of talks we discuss resolutions of monomial
ideals. We derive formulae for the graded Betti numbers of stable and
square free stable ideals, and use these formulae to deduce the
Bigatti-Hulett theorem which says that lexsegment ideals have the largest
graded Betti numbers among all graded ideals with the same Hilbert
function.