ABSTRACT: I will report on recent work with Dennis Keeler and Daniel Rogalski which produces some weird and wonderful ``noncommutative surfaces'' (or positively graded rings with the dimension of the graded pieces growing quadratically). As we will show, if you are careless with the idea of noncommutative ``blowing-up'' you get much more interesting results than if you do it properly.

For further information visit the Seminar web site at http://www.northeastern.edu/martsinkovsky/p/rtrt.html  or contact Alex Martsinkovsky <alexmart@neu.edu>