Dear Colleagues, 

The speaker and title for the next CRANTS talk are: 

Speaker:      Alex Tchernev, University at Albany   
Date & Time:  Wednesday, October 11, 2000 at 4:30 p.m. 
Place:        University at Albany, ES 142 
Title:       "Free resolutions for polynomial functors" 

Abstract: 

Let $L$ be a homogeneous polynomial functor from finite free 
modules to finite free modules (e.g. $L=S^k$ or $L=\wedge^k$). 
We investigate two different canonical ways $C_L$ and $D_L$ of 
prolonging $L$ to a functor from finite free complexes to 
finite free complexes. Given a finite free complex $F$, 
we provide a criterion for the acyclicity of $C_L(F)$, 
and a criterion for the acyclicity of $D_L(F)$. As an 
application we give a proof in general of the Buchsbaum-Eisenbud 
conjecture on the structure of the lower order minors of the 
differentials in a finite free resolution. This conjecture was 
previously known only in characteristic zero.  

(This is joint work with Jerzy Weyman.)


Refreshments at 4:15pm in ES 152.