# Non-commutative projective geometry

*Algebra/Geometry/Topology Seminar*

*by Daniel Chan*

*Institution:*UNSW

*Date: Mon 6th April 2009*

*Time: 2:15 PM*

*Location: David Caro Building, Room 211*

*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.