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Varieties under cut and paste

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If you have a question about this talk, please contact Alexis Marchand .

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The Grothendieck ring of varieties is the free abelian group generated by algebraic varieties modulo a ‘cut and paste’ relation. The definition can be motivated by the study of certain numerical invariants of algebraic varieties. After giving basic examples and calculations, I will introduce generating functions in the Grothendieck ring of various flavours. They are related to the Zeta function, Weil conjecture, and recursive structures of some moduli spaces in algebraic geometry.

This talk is part of the Junior Geometry Seminar series.

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MR14, Centre for Mathematical Sciences, Wilberforce Road, Cambridge MR9 Centre for Mathematical Sciences Average on weekdays: 9194.66965429 kWh

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