Abstract

Campana's geometric orbifolds interpolate between projective varieties and logarithmic pairs (in the sense of Iitaka), and they arise naturally in the context of birational geometry and the minimal model program. Differential forms play a central role in birational geometry and in the minimal model program, and in this talk we will discuss how to define and work with differential forms on Campana orbifolds. Towards the end of the talk we will discuss a possible approach to the construction of an orbifold de Rham complex, which is an open problem in Campana's theory of geometric orbifolds.

 

Organizers: Harry Richman (NCTS), Wille Liu (AS)