Uwe Nagel : Aspects of the Weak Lefschetz Property

Posted by , part of the Algebraic Geometry Seminar.

At

April 6, 2011, 4 p.m.

In

SEO 1227

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.