Cubic surfaces with special periods

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• Domingo Toledo (Utah)
• Wednesday 18 May 2011, 14:15-15:15
• MR13, CMS.

If you have a question about this talk, please contact Burt Totaro.

The moduli space of stable cubic surfaces is isomorphic to a quotient of the 4-ball by an arithmetic group. The isomorphism is given by a period map. Little is known about explicit values of the period map. In this talk we examine some properties of the period map and its inverse. We give characterizations of cubic surfaces with certain special periods corresponding to complex multiplication. We also discuss an explicit inverse to the period map. This is joint work with Jim Carlson.

This talk is part of the Algebraic Geometry Seminar series.

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