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Vector bundles on P^n and representations of GL_n November 15, 2012 (02:00 PM PST - 03:00 PM PST)
Location: MSRI: Simons Auditorium
Speaker(s) David Eisenbud (MSRI - Mathematical Sciences Research Institute)
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The description of cohomology tables in Boij-Soederberg theory can be thought of as saying that an arbitrary vector bundle on P^n "looks like" a certain homogeneous bundle (that is, one made from a representation of GL_n applied to the tangent bundle). I will explain this connection, and a new application of the philosophy that leads to sharp statements about the vanishing of cohomology of tensor products of bundles on P^n. This is all joint work with Frank Schreyer.

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