Commutative Algebra Seminar
Fall 2017, Friday 2:30  3:20, LCB 215
Date  Speaker  Title — click for abstract 
September 1  Aaron Bertam University of Utah 
Unstable syzygies
A stability condition gives a measure of the instability of a complex of vector bundles via its HarderNarasimhan 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.

September 8  Pham Hung Quy FTP University, Vietnam 
Applications of filter regular sequences to some positive characteristic problems
We use the notion of filter regular sequence to study some singularities and invariant defined by Frobenius action on local cohomology.

September 13 Nonstandard day JWB 333 
Craig Huneke University of Virginia 
TBD

September 15  Roger Wiegand University of Nebraska 
Betti tables over short Gorenstein algebras
Let k be a field and R a short, standardgraded Gorenstein kalgebra with embedding dimension e > 2. (Thus the Hilbert series of R is 1+es+s^2 .) The category of finitely generated graded Rmodules 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 Rmodules 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.

September 22  Henning Krause Bielefeld University, Germany 

September 29  TBD 

October 6  TBD 

October 20  TBD 

October 27  TBD 

November 3  Benjamin Briggs University of Toronto 

November 3 3:30  4:20 PM JWB 333 
Vincent Galinas University of Toronto 

November 10  TBD 

This web page is maintained by Srikanth Iyengar, Karl Schwede, Anurag K. Singh.