MATH Seminar
| Title: Homogeneous spaces over function fields of dimension two |
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| Seminar: Algebra and Number Theory |
| Speaker: Yi Zhu of University of Utah |
| Contact: R. Parimala, parimala@mathcs.emory.edu |
| Date: 2013-04-03 at 3:00PM |
| Venue: W306 |
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| Abstract: Let $K$ be either a global function field or a function field of an algebraic surface. Johan de Jong formulated the following principle: a ``rationally simply connected'' $K$-variety admits a rational point if and only if the elementary obstruction vanishes. In this talk, I will discuss how this principle works for projective homogeneous spaces. In particular, it leads to a classification-free result towards the quasi-split case of Serre's Conjecture II over $K$. |
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