Algebraic Geometry Seminar
Uwe Nagel
Kentucky
Aspects of the Weak Lefschetz Property
Abstract: The Weak Lefschetz Property (WLP) is a property of
finite-dimensional graded algebras and an abstraction of the
conclusion of the Hard Lefschetz Theorem. Many algebras are expected
to have the WLP. However, this property is rather subtle and
establishing it is often very challenging. We will discuss several
approaches, relating the WLP to semistablity of syzygy bundles, the
postulation of fat points, and counting problems in combinatorics.
Wednesday April 6, 2011 at 4:00 PM in SEO 1227