Model Theory

Jan-Apr 2023.

Instructor:

Manoj Kummini
Email: mkummini AT cmi DOT ac DOT in.
https://www.cmi.ac.in/~mkummini/index.html
Office: GL-05

Lectures : Tue, Thu 10:30-11:45 LH-4

References :

• Eisenbud, Commutative Algebra, with a View towards Algebraic Geometry, Graduate Texts in Mathematics, Springer.
• Eisenbud, Syzygies, Graduate Texts in Mathematics, Springer.
• Weyman, Cohomology of Vector Bundles and Syzygies, Cambridge Univ Press.

Brief description:

• Homological characterization of regular local rings,
• properties of finite free resolutions
• Syzygies of geometric objects (points and curves in projective space)
• free resolutions of determinantal varieties.

Moodle: All the information regarding this course will be posted on Moodle. Look for `Syzygies' under `Mathematics / Jan-Apr 2023'.