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4:00 pm Tuesday, November 15, 2011 Algebraic Geometry Seminar: Families of Homogeneous Spaces over Surfacesby Yi Zhu (Stony Brook) in HB 227- de Jong and Starr formulated the following principle: families of rationally simply connected (RSC) varieties over algebraic surfaces admit rational sections if certain Brauer-type obstructions vanish. The known RSC varieties are all of Picard number one, e.g., lower degree hypersurfaces and Grassmannians. In this talk, I will discuss how to define rational simple connectedness for varieties of higher Picard numbers. As an application, I will explain the proof of de Jong-Starr's principle for families of projective homogeneous spaces over surfaces.
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