Tuesday, August 8, 15:15, 7.527

Pin Liu (Southwest Jiaotong University, Chengdu)
Tilting and cluster-tilting objects on weighted projective lines.

Abstract:
In this talk, we will focus on tilting objects and cluster-tilting objects in the categories associated with weighted projective lines. For a tubular weighted projective line, relations between tilting objects in the stable category of vector bundles and cluster-tilting objects in the associated cluster category are described. Particularly, cluster-tilting objects in the associated cluster category are induced by tilting sheaves in the category of coherent sheaves.
This is joint work with Chen J M, Lin Y N and Ruan S Q.