# Mathematics Colloquia and Seminars

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### Faces of the Barvinok-Novik orbitope

**Algebra & Discrete Mathematics**

Speaker: | Cynthia Vinzant, UC Berkeley |

Location: | 1147 MSB |

Start time: | Fri, Apr 16 2010, 11:00AM |

In 2008, Barvinok and Novik studied the faces of the convex hull of the odd trigonometric moment curve. They showed that this convex body is locally k-neighborly and use this to construct centrally symmetric polytopes with high face numbers. We will review these results and resolve one of the conjectures from their paper, which leads to a complete characterization of the edges of this orbitope. In small dimensions we'll be able to see many other faces as well.

See also http://arxiv.org/abs/1003.4528