| Universität
des Saarlandes Mathematik und Informatik Dr. Madhusudan Manjunath and B.V. Raghavendra Rao |
Tel.: +49 (0)681/302-2046 madhusudan73@gmail.com Zi. 428, Geb. E2 4 D-66123 Saarbrücken |
Combinatorial Commutative Algebra
Summer Semester 2012
25/06/2012: Fourth set of exercises is uploaded, apologies for the delay!
25/06/2012: Lecture notes updated.
This course deals with the active topic of combinatorial commutative algebra that is mainly concerned with explicit constructions of free resolutions of
monomial and binomial ideals. These constructions are motivated from diverse areas such as algebraic geometry, integer programming and discrete geometry.
We will make an attempt to bring out current trends in the subject and direct the student towards current research topics. Please drop by the first lecture
to know more about the course!
|
Bernd Sturmfels and Ezra Miller |
Combinatorial Commutative Algebra, Graduate Texts in Mathematics |
Springer |
2004 |
|
| David Eisenbud | Commutative Algebra with view Algebraic Geometry | Springer,Graduate Texts in Mathematics | 1995 | |
| David Eisenbud | The Geometry of Syzygies | Springer, Graduate Texts in Mathematics | 2005 | |
| Richard Stanley | Combinatorics and Commutative Algebra | Birkhäuser, Progress in Mathematics | Second Edition,1996 | |
| Irena Peeva and Mike Stillman | Open Problems on Syzygies and Hilbert Functions. |
1 Lecture (2 hours) per week and
1 Tutorial(2 hours) Every two weeks 4.5 Credit Points
28 contact hours for lectures
14 hours contact hours for exercises
Lectures on Wednesdays 16-18 hours, Lecture room 4 (Not Seminar Room 5 as mentioned earlier!), Geb. E2 4..
Based upon a seminar on a topic mutually agreed upon.
Here is a draft of the lecture notes.
Disclaimer: This is only a draft, be warned of typos and more serious errors!
We will meet once in two weeks, on Fridays, 12-14, at Seminar room 7, Geb. E 2 4. First tutorial will be on 27-04-12.
Madhusudan Manjunath
Zi. 428, Geb. E2 4
D-66123 Saarbrücken
Tel. +49(0)681/302-2046
madhusudan73@gmail.com
Raghavendra Rao B.V
Zi. 422, Geb. E1 3
D-66123 Saarbrücken
Tel. +49(0)681/302-5502
rkunjathaya@gmail.com