University of Michigan
Department of Mathematics
 Commutative Algebra Seminar
Fall 2008
Thursdays 3-4pm, 3096 East Hall


The commutative algebra seminar will have a number of outside speakers this year giving research talks. Typically, the week before each visitor comes we will have a pretalk to help prepare those attending the following week for the notions that will be discussed.

DateSpeakerTopicAbstract
Sept 4th No one Not meeting this week The first meeting will be on 9/11
Sept 11th Tigran Ananyan
University of Michigan
Introduction to Hilbert-Kunz multiplicity Pretalk
Sept 18th Neil Epstein
University of Michigan
Special Time: 2:00pm, same location 3096EH
Two extensions of Hilbert-Kunz multiplicity
Click for ABSTRACT
Sept 25th Daniel Hernandez
University of Michigan
F-singularities and F-jumping numbers Pretalk
October 2nd Wenliang Zhang
University of Michigan
F-jumping coefficients of principal ideals We will prove that, in an excellent regular local ring of positive characteristic, all F-jumping coefficients of any principal ideal are rational and they form a discrete subset of the set of real numbers.
October 9th Emily Witt
University of Michigan
  Pretalk
October 16th Florian Enescu
Georgia State University
Anti-nilpotent modules and primary decomposition with respect to Frobenius The talk will present the notion of anti-nilpotent modules and discuss ways of developing a primary decomposition theory for modules with Frobenius action over a ring of prime characteristic. Part of the work is joint with M. Hochster.
October 23rd Dale Cutkosky
University of Missouri
Asymptotic growth of algebras associated to powers of ideals I will talk on some of the results in my recent paper on finite generation of algebras associated to powers of ideals with Juergen Herzog and Hema Srinivasan.
October 30th Not meeting this week There is an algebraic geometry seminar at a special time Pretalk
November 4th Adela Vraciu
University of South Carolina
Level ideals and projective equivalence
(Special DATE: Tuesday
and LOCATION: EH 3866 )
Click here for the abstract
November 6th Kevin Tucker
University of Michigan
Pretalk  
November 13th Sean Sather-Wagstaff
North Dakota State University
Gorenstein presentations and semidualizing modules A famous result of Foxby, Reiten and Sharp says that a Cohen-Macaulay local ring admits a dualizing module if and only if it is a homomorphic image of a Gorenstein ring. We augment this result by showing that such a ring admits a nontrivial semidualizing module if and only if it admits a Gorenstein presentation Q/I such that the ideal I has a nontrivial decomposition. This is joint work with David Jorgensen and Graham Leuschke.
November 20th TBA
University of Michigan
Pretalk
Special Time: 2:00pm
 
November 27th Thanksgiving (no meeting)    
December 4th Tigran Ananyan
University of Michigan
Some Results on Finite Phantom Projective Dimension I will sketch counterexamples to two conjectures posed by Aberbach-Hochster about localizing and taking direct summands of a module of finite phantom projective dimension. These will be among main results of my PhD thesis.
December 11th Not meeting this week Happy winter break!  


For more information, or to volunteer to give a talk, contact Karl Schwede or Neil Epstein.