Back to Commutative Algebra Seminar: Fall 2017
Commutative Algebra Seminar
Date: Friday, Sep 15, 2017
Time: 2:30PM - 3:20PM
Location: LCB 215
Roger Wiegand
University of Nebraska
Title |
Betti tables over short Gorenstein algebras |
Abstract |
Let k be a field and R a short, standard-graded Gorenstein k-algebra with embedding dimension e > 2. (Thus the Hilbert series of R is 1+es+s^2 .) The category of finitely generated graded R-modules has wild representation type, but much of the representation theory of the category is revealed by the Betti tables of modules. The additive semigroup B of all Betti tables of R-modules is atomic but very far from being factorial. We will show how the atoms of B arise as Betti tables of cosyzygies of ideals of R and describe some specific relations among these atoms. This is joint work with Lucho Avramov and Courtney Gibbons. |
Commutative Algebra