A&C Seminar:  Fall 2008, Fridays, Milner 317, 3:00–3:50 p.m.

November 14	Dimitrije Kostic
3:00–3:50	The Combinatorics of Integer Points in a Certain Polytope
	Abstract:   Let (x1,...,xn) have nonnegative integer coordinates (and x1>0). Stanley and Pitman studied the set of integer points (y1,...,yn) satisfying y1+...+yk ≤ x1+...+xk and found a precise formula for this number in terms of the Ehrhart polynomial. We will explore further questions related to this set of points, particularly the q-distributions of partial sums of the yi and a surprising formula I stumbled across accidentally.