From: Brenda Cook (brenda@math.missouri.edu)
Date: Fri Feb 02 2007 - 13:15:38 CST
COLLOQUIUM
University of Missouri-Columbia
Department of Mathematics
Chris Francisco
University of Missouri-Columbia
Commutative algebra, graphs,
and Alexander duality
Abstract: The field of combinatorial commutative algebra offers ways to
use combinatorics to understand properties of ideals and algebra to
classify combinatorial objects. We will discuss some recent projects
that focus on the connections between graphs and monomial ideals in
polynomial rings, using the notions of free resolutions, edge ideals,
and Alexander duality as bridges. In particular, we will explore
relations between linear resolutions and the Cohen-Macaulay property on
the algebraic side and induced cycles of a graph on the combinatorial
side. Much of the talk is based on joint work with Huy Tai Ha and Adam
Van Tuyl.
3:30 p.m.
Tuesday, February 6
114 General Classroom Building
Refreshments will be served at 2:45 p.m. in Room 326 Mathematical
Sciences (Math Lounge).
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