|Date: Tuesday, September 25, 2007
Title: Sumner B. Myers Prize Colloquium
Toric Vector Bundles
Abstract: Vector bundles on toric varieties that carry a lift of the action of the dense torus are approachable, in part, through combinatorial methods, yet still exhibit a wide range of exotic and poorly understood phenomena. As our understanding grows, these toric vector bundles may become a useful testing ground for general questions about vector bundles on algebraic varieties. I will survey many of the known results about toric vector bundles and discuss relations with a few intriguing open questions. For instance, does every complete algebraic variety have a nontrivial vector bundle on it?
Speaker: Sam Payne