16:640:535

Spring 2024

Lev Borisov

Subtitle:

Course Description:

This is a first course in algebraic geometry. Selection of topics will somewhat depend on the background and interests of the participants. At a minimum, I intend to talk about projective spaces, line bundles, vector bundles, blowup construction and Riemann-Roch theorems, with emphasis on examples. The language of schemes and sheaves might be introduced in passing, but will not be the focus of the course.

Textbook:

None. I will try to find appropriate online notes for some of the topics we will cover.

Prerequisites:

No firm prerequisites. Some knowledge of commutative algebra, differential geometry and/or complex analysis would help. If in doubt, ask the instructor.