CAPITAL REGION ALGEBRA/NUMBER THEORY SEMINAR 


Speaker:       Alex Tchernev, Univ. at Albany  

Time:          Wednesday, November 3, at 4:30pm       

Place:         Earth Sciences Bldg. 152A,  Univ. at Albany 

Title:         LCM-lattice and Betti numbers of monomial ideals     


Abstract:

Let I be an ideal generated by monomials in a polynomial 
ring R. The LCM-lattice L of I was introduced in work of 
Gasharov, Peeva, and Welker, who show that the minimal 
free resolution of I is completely determined by the 
isomorphism class of the lattice L. In this talk we will 
recall the definition of L, and we will show how to compute 
the Betti numbers of I from the combinatorial structure 
of the lattice L.  

The talk will be acessible to graduate students.          


Refreshments at 4:15 pm in ES 152.