Lectures: MWF 12:00 in KAP 141

Textbook:
I will follow Hartshorne, Algebraic Geometry for the algebraic geometry,
for the K-theory I use the draft of a book which can be found on Charles Weibel's homopage:
Link

Course Material and Goals Algebraic K-theory is an important invariant to study schemes and coherent modules and vector bundles on them. We will start with introducing sheaves, schemes and their basic properties, and define coherent sheaves and vector bundles. Having this back-ground, we will define higher K-groups and G-groups of schemes using the category of vector bundles and coherent sheaves. Finally, I will discuss properties of these groups and give applications. It should be possible to follow most of the class with a solid knowledge of the material of 510b, and the fall semester course or some knowledge of schemes.

First class Wednesday, January 14

Dropdate April 10

No classes on 1/12, 2/6, 2/9, 2/11, 2/13, 3/13, 3/23, 4/20, 4/22, 4/24

Holidays 1/19, 2/16, 3/16, 3/18, 3/20

Class number 39948R

Exams Instead of exams, I will ask each student to give a presentation, and occasionally assign homework.

Grading policy TBA

Office hours
TBA

Disclaimer This syllabus is informal information and not a contract. The Instructor reserves the right to make some changes during the semester.