Time: 9h00, Thursday, July 13, 2017

 Location: Room 4, Institute of Mathematic, 18 Hoang Quoc Viet

Abtract: Small covers and quasitoric manifolds are a topological generalization of classical toric varieties from algebraic topology. The orbit space of locally standard torus acting on these manifols is always a combinatorial simple polytope. Their topological properties highly depend on the combinatorics of the orbit polytope. In the talk we give brief overview over the theory of quasitoric manifolds and small covers and proceed to study of immersions and embeddings into Euclidean spaces using the cohomology and the Stiefel-Whitney classes of these manifold. Special attention is given to manifolds whose orbit polytopes have minimal chromatic number with respect to a proper coloring of its facets.