Tropical (p,q)-cycles

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• Grigory Mikhalkin (Geneva)
• Thursday 06 May 2010, 14:30-15:30
• MR13, CMS.

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

Cambridge COW meeting, talk #1

Real 1-parametric families of complex manifolds have limits collapsing to certain polyhedral complexes called tropical varieties. Tropical structure of these limits is responsible for asymptotics of the collapse.

Tropical varieties are simple enough to visualize easily. Yet their homology theories reflect the Hodge structure of the collapsing family. These theories agree with the classical mixed Hodge structures in the case when the real 1-parametric families can be extended to the complex domain.

The talk will review some basic tropical notions and will be illustrated with a few examples.

This talk is part of the Algebraic Geometry Seminar series.

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