Geometry/Topology Seminar
Tuesday, November 9, 1999, 4:00pm, 120 Physics
Harry Tamvakis (University of Pennsylvania)
The Hodge Star Operator on Schubert Forms
Abstract:
The Hodge star operator acts on the space of differential forms on a hermitian complex manifold X and induces an action on the harmonic forms, hence on the cohomology of X. I will give explicit combinatorial formulas for this action when X is a compact hermitian symmetric space, such as a Grassmannian, and discuss connections of this problem with the Lefschetz theory on X. I will also talk about the motivation for this work, which came from a conjecture in Arakelov geometry. The speaker arrives Sat. Nov. 6 and departs Tuesday Nov. 9

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