Seminar series
Date
Mon, 09 May 2016
14:15
14:15
Location
L4
Speaker
Susan Sierra
Organisation
Edinburgh
We give a noncommutative analogue of Castelnuovo's classic theorem that (-1) lines on a smooth surface can be contracted, and show how this may be used to construct an explicit birational map between a noncommutative P^2 and a noncommutative quadric surface. This has applications to the classification of noncommutative projective surfaces, one of the major open problems in noncommutative algebraic geometry. We will not assume a background in noncommutative ring theory. The talk is based on joint work with Rogalski and Staffor