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Topic: Courant Geometry Seminar
Replies: 8   Last Post: Jan 25, 2005 9:53 PM

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 Ricky Pollack Posts: 18 Registered: 12/3/04
Sturmfels lecture at Courant
Posted: Jan 25, 2005 9:53 PM

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\title{Geometry Seminar\\
Tuesday March 8 in room 613 WWH at 6:00 P.M\\
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{\bf
Groebner Bases and Triangulations of the Second Hypersimplex
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\author{
Bernd Sturmfels\\Cornell University
}
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\begin{abstract}
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The second hypersimplex $\Delta(2,n)$ is the convex hull of the columns
of the vertex-edge incidence matrix of the complete graph $K_n$.
In this talk we employ the algebraic technique of Groebner bases
to study triangulations of this polytope. We compare the secondary
polytope of $\Delta(2,n)$ with the state polytope of the associated
toric ideal, and we present an explicit non-regular triangulation
for $n \geq 9$. Relations to combinatorial optimization and random graphs
will be indicated. This is joint work with Jesus DeLoera and Rekha
Thomas.

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Date Subject Author
1/25/05 Ricky Pollack
1/25/05 Ricky Pollack
1/25/05 Ricky Pollack
1/25/05 Ricky Pollack
1/25/05 Ricky Pollack
1/25/05 Evelyn Sander
1/25/05 Ricky Pollack
1/25/05 Ricky Pollack
1/25/05 Ricky Pollack