CAPITAL REGION ALGEBRA/NUMBER THEORY SEMINAR 


Speaker:       Hara Charalambous, Univ. at Albany                   

Time:          Wednesday, October 23, at 4:30pm, 

Place:         ES 152A, University at Albany, 

Title:         The denominator of the Poincare series 
               for multigraded rings.
 

Abstract: 

The Poincare series of a ring captures the ranks of the free modules in a
minimal free resolution of the quotient field.
It is well known that the  the Poincare series for
R/I when R is a polynomial ring and I is a monomial ideal is rational.
In this talk we discuss the coefficients of the denominator.
We show 1) that the coefficients come from the set of the
least common multiples of the generators of I  and 2) we show
that their sign is determined by the number of connected components of
the graph formed  when we join the generators that are not coprime. 


Refreshments at 4:15 in ES 152.