ИСТИНА

Mini-course on the Topology of Toric Spaces and Moment-angle Manifolds (13-17 January 2020). Lecturers: Anthony Bahri, Taras Panov. Topics covered: 1. A. Bahri. Toric manifolds and toric varieties. The Davis-Januszkiewicz construction of toric (quasitoric) Manifolds and their elementary properties. 2. A. Bahri. Moment-angle manifolds and the Buchstaber-Panov formalism for toric manifolds. 3. T. Panov. Smoothing moment-angle manifolds: intersections of quadrics and quotient constructions. 4. T. Panov. Moment maps, symplectic reduction and presymplectic structures. 5. T. Panov. Complex-analytic structures on moment-angle manifolds and their complex geometry. 6. T. Panov. Holomorphic foliations and basic cohomology. 7. A. Bahri. Weighted projective spaces as a model for singular toric spaces. 8. A. Bahri. More general toric orbifolds. 9. Problem session.