Speaker: Solomadin G.D., RUDN, Moscow.
Topic: MONODROMY IN WEIGHT GRAPHS AND ITS APPLICATIONS TO TORUS ACTIONS.
Abstract: A useful method will be discussed to decide whether a given non-singular projective variety is not toric. The main idea of this method is to recognize invariant subgraphs of the weight (hyper)graph w.r.t. the connection, and to compare them with faces of a simple moment polytope of a projective toric variety. As an application of this method, we describe all toric varieties among some particular (non-generic) nonsingular hypersurfaces in the Cartesian product of two toric varieties. Namely, those are the generalized Buchstaber-Ray variety and Ray variety.
In the talk there will be presented the result which plays an important role in the problem of representatives in the unitary bordism ring. We also compute the integral cohomology rings of these hypersurfaces and describe new geometrical structures (such as recurrent blow-ups and fiber bundle) on them.
Beginning at 12:00.