Tuesday, August 2, 14:00, 7.527
Tomasz Brzezinski (Swansea)
Complex geometry of the noncommutative pillow.
The classical pillow manifold obtained as a quotient of a non-free
cyclic group action on the two-torus is an example of an orbifold. We
describe a differential calculus and a complex structure on the
non-commutative version of the classical pillow manifold, obtained by a
cyclic group action on the non-commutative torus and reveal the surprising
fact that this deformation of an orbifold has all the features of a smooth
complex (non-commutative) curve.