Conformal blocks in genus zero and the KZ connection

Abstract

We survey some recent work on conformal blocks in genus zero, focussing on (1) Chern classes, global generation and morphisms, and (2) the Knizhnik--Zamolodchikov connection on conformal blocks (and invariants), their motivic realizations, and unitarity.

19 pages. Added Remark 3.3 and a reference