Explore a comprehensive lecture on holomorphic torus fibre bundles over toric varieties, focusing on generalised Calabi-Eckmann fibrations. Delve into complex-analytic structures on moment-angle manifolds and examine holomorphic foliated moment-angle manifolds as irrational deformations of toric varieties. Presented by Taras Panov from Moscow State University, this 1-hour 3-minute talk is part of the "Graduate School on Toric Topology" and the "Focus Program on Toric Topology, Geometry and Polyhedral Products" at the Fields Institute. Gain insights into advanced topics in toric topology and geometry, suitable for graduate-level mathematics students and researchers in related fields.