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Mathematics Colloquium

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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
Institution:  Stanford

 

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