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VIDEO LIBRARY |
International workshop "Relation of String Theory to Gauge Theories and Moduli Problems of Branes"
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Minimal Lefschetz decompositions for Grassmannians A. Fonarev Steklov Mathematical Institute of the Russian Academy of Sciences |
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Abstract: We construct two Lefschetz decompositions of the derived category of coherent sheaves on the Grassmannian. One of the main technical tools will be a new interesting class of exact complexes of vector bundles. We will discuss a couple of ways to obtain them an possible further generalizations to other rational homogeneous spaces. |