Algebra & Number Theory Seminar
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Texas Tech University

Algebra & Number Theory Seminar

2017-2018

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Department of Mathematics & Statistics

Math 109

Wednesdays 3:00-4:00 pm

### Lars Christensen

Texas Tech University

#### Wednesday, September 20, 2017

#### Math 109, 3:00 pm

**Title:** Linkage in codimension 3

**Abstract:** Let R be a regular local ring. All perfect ideals I⊂R of codimension 2 are linked to a complete intersection ideal, they are *licci*. On the other and, generic ideals of codimension 4 are not licci. We provide evidence in support of our conjecture that a perfect ideal of codimension 3 is licci if the free resolution of I over R has certain "Dynkin" format. Here, the connection to Dynkin diagrams comes through Weyman's theory of generic resolutions.