Commutative Algebra Seminar, Fall 2005

Commutative Algebra Seminar -- Fall 2005

The seminar will meet Wednesdays 12:20--1:10 in room 312. Each speaker will talk for two or three weeks on a small, essentially self-contained, topic.

The Schedule

Wednesday, August 24, "An example of using Representation Theory to find a resolution", Lecture 1, by A. Kustin. See .pdf format or .ps format for an abstract. See .pdf format or .ps format for the first lecture.
Wednesday, August 31, "An example of using Representation Theory to find a resolution", Lecture 2, by A. Kustin. See .pdf format or .ps format for the lecture .
Friday, September 2, 12:20--1:10 in room 316. Special lecture. Notice the unusual DAY and ROOM Winfried Bruns from the Universitaet Osnabrueck will speak on "On a conjecture of Stanley". See for an abstract or for the paper.
Wednesday, September 7, "An example of using Representation Theory to find a resolution", Lecture 3, by A. Kustin. See .pdf version of some handwritten notes.
Wednesday, September 14, "The Syzygy Theorem of Evans and Griffith", by M. Miller.
Wednesday, September 21, "What makes a complex exact?", by J. Olmo.
Wednesday, September 28, "What makes a complex exact? II", by J. Olmo.
Wednesday, October 5, "The differential in the minimal free resolution of the universal ring for resolutions of length two", by C. Finch, and "Resolutions over rings of countable Cohen-Macaulay type" by A. Vraciu.
Wednesday, October 12, "The Syzygy Theorem of Evans and Griffith II", by M. Miller.
Wednesday, October 19, "Resolutions over rings of countable Cohen-Macaulay type II" by A. Vraciu.
Wednesday, October 26, "Etude des faisceaux 1" by C. Portwood.
Wednesday, November 2, "Etude des faisceaux 2" by C. Portwood.
Wednesday, November 9, "Projective dimension and the Frobenius homomorphism", by J. Olmo. This talk is the defense of John Olmo's thesis.
Wednesday, November 16, "Projective dimension and the Frobenius homomorphism, II", by J. Olmo.
Wednesday, November 30, "Projective dimension and the Frobenius homomorphism, III", by J. Olmo.

Some other possible topics for Fall 2005

An introduction to local cohomology.
Other connections between Represention Theory and resolutions.
How the functor Ext measures grade.
What makes a complex exact?
The Frobenius automorphism and finite projective dimension.
The geometry behind the geometric method of finding resolutions.
An introduction to Alexander duality.
Tight closure.

Visitor

Winfried Bruns from the Universitaet Osnabrueck will visit here from August 31 to September 7. He will speak at a special seminar on Friday, September 2 at 12:20--1:10 in room 316.

Previous semesters

Spring, 2005.

Seminar home page.