Wednesday, February 20 2019, 2:30pm Boyd Room 304 Abstract: Ring of conditions is a version of intersection theory defined by De Concini and Procesi for spherical homogeneous spaces. In the case of an algebraic torus (C^*)^n, the ring of conditions has a convex geometric description as a ring generated by the volume polynomial on the space of polytopes. One can extend this description to the case of horospherical homogeneous spaces using an analogue of Bernstein-Kouchnirenko theorem for toric bundles. In my talk I will explain these results.
