Back to Commutative Algebra Seminar: Fall 2017
Commutative Algebra Seminar
Date: Friday, Sep 1, 2017
Time: 2:30PM - 3:20PM
Location: LCB 215
Aaron Bertam
University of Utah
Title |
Unstable syzygies |
Abstract |
A stability condition gives a measure of the instability of a complex of vector bundles via its Harder-Narasimhan filtration. There is a canonical Euler stability condition on projective space that we can use in this way to measure the instability of free resolutions of Gorenstein rings. This has more information than the Betti tables (and Hilbert functions), and leads to questions about Gorenstein rings with socle in degree 3 that we would love know more about. This is joint work with Brooke Ullery. |
Commutative Algebra