14/07/2010, 15:00 — 16:00 — Room P3.10, Mathematics Building Jorge Vitória, University of Warwick
Equivalences for non-commutative projective spaces
Even though noncommutative projective spaces (in the sense of Artin and Zhang) are not very well understood in high dimensions, by considering a restricted class of such spaces one can hope for interesting classification theorems. In this talk we recall the key concepts of this approach to noncommutative algebraic geometry and discuss the case of noncommutative projective spaces associated to multiparameter skew-polynomial rings. We prove a classification theorem and we make some observations on birational equivalences and point varieties.