Valuations and Complex Subspace Arrangements

Margaret Readdy

Institute for Advanced Study

September 9,
refreshments at 3:45pm


We present a new combinatorial method to compute the characteristic polynomial of subspace arrangements using the theory of valuations. This method applies to any subspace arrangement over an infinite field. Examples include complex subspace arrangements, the Dowling divisor lattice and its interpolations. We also consider the effect of the Dowlingization transformation on the characteristic polynomial of real subspace arrangements.

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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)

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