Yury Drozd
Academia de Ciências da Ucrânia, Kiev
Tilting for singular projective curves.
Abstract: For a projective curve with simple singulariries we construct its non-commutative extension and a tilting complex relating its derived category of coherent sheaves to derived category of modules over a finite-dimensional algebra. We describe the image of the category of coherent sheaves over the initial curve under this tilting. This is a joint work with I.Burban.