Discrete CATS Seminar
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U N I V E R S I T Y
O F
K E N T U C K Y

DISCRETE
CATS
SEMINAR

WHERE CATS =
COMBINATORICS,
ALGEBRA,
TOPOLOGY
&
STATISTICS!

845 PATTERSON OFFICE TOWER

FALL 2009

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"Orbitopes"

Raman Sanyal

UC Berkeley

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Monday, November 2, 2009

4:00 pm, 845 Patterson Office Tower

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Abstract:

An orbitope is the convex hull of an orbit in a real representation of
a compact group. For finite groups orbitopes yield very nice
polytopes, among them the regular solids, Coxeter permutahedra, and
even-dimensional cyclic polytopes. In general, orbitopes are not
polyhedral and thus much harder to work with. In this talk I will
discuss basic properties and questions related to orbitopes but,
mainly, I will show many examples most of which behave like continuous
versions of known polytopes. This is joint work with Frank Sottile and
Bernd Sturmfels.