CAPITAL REGION ALGEBRA/NUMBER THEORY SEMINAR 


Speaker:     Hara Charalambous, University at Albany

Time:        Monday, May 13, at 3:20 pm,   

Place:       Earth Science Bldg. ES 152A, University at Albany

Title:       Monomial resolutions 
             

Abstract: 

Let Q=k[x_1,..., x_n] be a polynomial ring over a field
k and  \phi: Q^e -> Q^g  a multigraded map.
We study  modifications of the strands of the Koszul Complex and
generalize the Taylor resolution to obtain the free resolution
of the cokernel of  \phi  when  \phi  satisfies certain rank criteria.
When  \phi  is generic we provide  the minimal
resolution.  We establish the significance of the lcm lattice for  \phi.


Refreshments at 3:00pm in ES 152.