**Date & Time:** Tuesday, January 21, 2014, 15:00-16:00.

**Venue:** Ramanujan Hall

**Title:** Hilbert functions of multigraded modules

**Speaker: ** Jugal Verma, IIT Bombay

**Abstract:** Multigraded modules arise in many constructions in
commutative algebra, algebraic geometry and combinatorics.
The main examples being Hilbert functions of a family of ideals,
simultaneous blowing up for resolution of singularities,
lattice points in polytopes, Milnor numbers of of hypersurface
singularities counting solutions of polynomial equations and face
vectors of simplicial complexes name a few. In this series of
lectures, we will prove basic facts about these functions and discuss some applications.