Capital Region Algebra/Number Theory Seminar

Speaker:    Tim Clark, University at Albany
 
Time:    Wednesday, April 16, at 4:15 pm
 
Place:    ES 143, UAlbany
 
Title:     Minimally Resolving Stable Ideals using Posets

Abstract

Let R = k[x_{1},…,x_{n}], where k is a field. We consider the class of stable ideals and explain how their minimal free resolutions can be obtained by using a construction of Tchernev whose details were given in a previous talk. In this case, the poset is taken to be the poset of so-called Eliahou-Kervaire admissible symbols. We will describe the combinatorics of stable ideals along with the combinatorial properties of this poset. The topological characteristics that come as a result of this combinatorial structure will provide the tools necessary to construct the minimal free resolution.


Refreshments at 3:45 pm in ES 152.