Commutative Algebra Seminar, Fall 2009

We plan to run two seminars:

The Student Algebraic Geometry Seminar will meet Fridays 11:15--12:05, room 312 LeConte.
The Commutative Algebra Seminar will meet Thursdays 3:15--4:05, room 312 LeConte.

Commutative Algebra Seminar -- Fall 2009

Thursday, September 3 at 3:15 PM, A. Kustin, "Singularities of plane curves which are parameterized by homogeneous forms of small degree. I" This work (with Claudia Polini and Bernd Ulrich) began as straight Commutative Algebra: find the defining equations of Rees Algebras. It took a geometric turn when David Cox joined the project.
Thursday, September 10 at 3:15 PM, A. Kustin, "Singularities of plane curves which are parameterized by homogeneous forms of small degree. II".
Thursday, September 17, No seminar.
Thursday, September 24, 3:15 PM, A. Vraciu, "Rees valuations".
Thursday, October 1, No Seminar.
Thursday, October 8, Fall break, No Seminar.
Thursday, October 15, 3:15 PM, A. Vraciu, "Rees valuations".
Thursday, October 22, 3:15 PM, A. Vraciu, "Rees valuations" and A. Kustin "Singularities of plane curves".
Thursday, November 5, 3:15 PM, A. Kustin "The parameter space of rational plane curves of degree 4".

We plan to read Hassett's book starting with Chapter 9. The book is reserve on the Math library. (You might have to tell the librarian that the book is reserved for Math 747.) You can look at a preliminary copy of Hassett's book on the web.
We might also read parts of the new book ``Toric Varieties'' by Cox, Little, and Schenck. You may find a preliminary copy of this book Chapters 1 to 7 and Chapters 8 to 10.
Wednesday, September 9, A. Kustin "Introduction to Projective Space".
Friday, September 18 at 11:15 in room 312. A. Kustin "How to find a generating set for the homogenization of an ideal" and B. Barwick "Introduction to Projective Varieties".
Friday, September 25 at 11:15 in room 312. B. Barwick "Introduction to Projective Varieties, II".
Friday, October 2, No Seminar.
Friday, October 9, Fall break, No Seminar.
Friday, October 16, 11:15 in room 312. B. Barwick "Introduction to Projective Varieties, III" and J. Webb "Projective Nullstellensatz".
Friday, October 23, 11:15 in room 312. J. Webb "Morphisms of projective varieties".
Friday, November 6, 11:15 in room 312. J. Webb "Linear Projective Morphisms".
Friday, November 13, 11:15 in room 312. B.Barwick "Veronese embeddings".
Friday, November 20, 11:15 in room 312. B.Barwick "Veronese and Segre embeddings".
Friday, December 4, 11:15 in room 312. A. Dutle "An Introduction to Toric Varieties".