# Jerusalem Mathematics Colloquium

Thursday, 21st June 2007, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Edward Swartz

(Cornell)

"More or less Cohen-Macaulay"

** Abstract: **
The study of enumerative properties of simplicial complexes dates back to
the Euler-Poincare formula. The groundbreaking work of Hochster, Reisner
and Stanley in the 1970's established the combinatorial properties of
Cohen-Macaulay complexes. First we will describe what these complexes are
and indicate why they are important. Then we will examine what happens if
we ask for stronger restrictions on the geometry of the spaces. Finally,
we will see what can be said if we relax some of the conditions, as is
required in order to study triangulations of manifolds.

Light refreshments will be served in the faculty lounge at 3:30.

List of talks, 2006-07

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