Project R-4801

Elliptic non-commutative Del Pezzo sufaces and related topics (Research)

Non-commutative algebraic geometry studies spaces with non-commuting coordinates. The simplest example is perhaps given by phase space in quantum mechanics where position (x) and momentum (p) satisfy px - xp = 1 (up to a normalization factor). Technically this phase space is an example of an affine non-commutative del Pezzo surface. Such non-commutative del Pezzo surfaces represent an active research area in non-commutative algebraic geometry but surprisingly their definition has not been fully fixed. One of the aims of the current project is to explore the relations between the various definitions.

01 October 2013 - 30 September 2015