Daniel Chan (University of New South Wales)

Friday 16th May, 12.05-12.55pm, Carslaw 373

What is non-commutative projective geometry?

Ring theorists have long sought a geometric interpretation for non-commutative rings to help gain a better understanding of them. Since the 90s, there has been considerable success in studying graded rings this way, leading to a kind of non-commutative projective geometry. The key is to generalise geometric concepts to the non-commutative setting. This talk is an elementary introduction to the subject. We will see how concepts such as projective schemes, cohomology, intersection theory and duality can be defined non-commutatively.

I apologise in advance that this talk will have many definitions, and probably no results.