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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. After the seminar we will take the speaker to lunch. See the Algebra Seminar web page for information about other seminars in the series. Anthony Henderson anthonyh@maths.usyd.edu.au. |