Index theorems and modularity in operator algebras Oberwolfach, June 24-28, 2002 Monday, June 24 9:30-10:30 M. Mueger Conformal orbifold models, crossed G-categories and quasi-abelian cohomology 16:00-17:00 V. Ostrik Examples of module categories Tuesday, June 25 9:00-10:00 T. Masuda Longo-Rehren inclusions and Popa symmetric enveloping algebras 10:00-11:00 S. Carpi Sectors of the Virasoro algebra with infinite statistical dimensions 11:45-12:15 K.-H. Rehren The permutation braid group in QFT Wednesday, June 26 9:30-10:30 M. Izumi How many Q-systems? 11:00-12:00 Y. Kawahigashi Classification of local conformal nets: Case c < 1 20:00- R. Longo (informal joint session with "Geometry of Operators") Thursday, June 27 9:00-10:00 G. Morsella Superselection structure and stability of charges in the ultraviolet 10:45-11:15 K. Fredenhagen Product of representations 11:30-12:00 M. Mueger Some remarks on modular invariants Friday, June 28 9:30-10:30 C. D'Antoni Nuclearity and split property for the Dirac field on globally hyperbolic curved spacetime 11:00-12:00 D. Guido Free fields and de Sitter holography