Discrete CATS Seminar
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
"An Extended Euler-Poincare Theorem"
Brad Fox
University of Kentucky
Monday, November 28, 2011
4:00 pm
845 POT
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.