Non-commutative projective geometry
by Daniel Chan
Abstract: In 1990, Artin-Tate-Van den bergh studied non-commutative algebras called 3-dimensional Sklyanin algebras using many interesting ideas from algebraic geometry. The body of techniques developed now form a school of non-commutative projective geometry. This talk will be primarily be an introduction to some aspects of non-commutative projective geometry. I will show how various geometric concepts in projective geometry such as dimension and intersection theory, can be defined in the non-commutative setting and indicate how they might be useful in studying non-commutative algebra.