MATH Seminar
| Title: Forms of Toric Varieties |
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| Seminar: Algebra |
| Speaker: Alex Duncan of University of Michigan |
| Contact: David Zureick-Brown, dzb@mathcs.emory.edu |
| Date: 2014-03-25 at 4:00PM |
| Venue: W302 |
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| Abstract: A toric variety is a special kind of compactification of a torus. A basic example of a toric variety is a projective space $\mathbb{P}^n$. Given an n+1-dimensional vector space $V$ there is a canonical projection map from $V$ (minus the origin) to $\mathbb{P}^n$. A construction of Cox generalizes this situation to toric varieties. I will introduce toric varieties, then show how one may use Cox’s construction to classify their forms over non-algebraically closed fields using Galois cohomology. |
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