Speaker: Daebeom Choi

Abstract: If you are a graduate student interested in algebraic geometry, one of the first pieces of advice you might hear is, ‘You should study schemes.’ Scheme is such a fundamental concept in algebraic geometry. However, from the perspective of classical algebraic geometry, it’s not always straightforward to explain why schemes are so important. In fact, almost every theorem about varieties over algebraically closed fields in an introductory algebraic geometry book such as Hartshorne can be proven without scheme theory—the same proofs often work in the classical setting! In this talk, I will review the basic concepts in algebraic geometry and explore why schemes are crucial, even in classical algebraic geometry.

Talk Slides: Link