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

2011 - 2012

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"An Extended Euler-Poincare Theorem"

Brad Fox

University of Kentucky

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Monday, November 28, 2011

4:00 pm

845 POT

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Abstract:

The Euler-Poincare Formula is a well-known linear relation involving
the f-vector and Betti sequence of a finite simplicial complex. In
this talk I will present a theorem by BjÓ§rner and Kalai that extends
this relation so that for a d-dimensional simplicial complex, we can
find d additional relations between the two sequences, as well as
characterize all possible f/Betti pairs.