A perspective projection of a dodecahedral tessellation in H3. Four dodecahedra meet at each edge, and eight meet at each vertex, like the cubes of a cubic tessellation in E3.

Title: Zero divisors in the grothendieck ring of varieties

Speaker: Aurélien Fourré

Abstract:The Grothendieck group of varieties is defined as a quotient of the free abelian group on the set of varieties. We will compare this object with the simpler, similary quotiented free abelian monoid and provide a construction (due to Borisov) that show that those two objects are different and that the motif of the affine line is a zero divisor in the grothendieck ring of varieties.

 

Some snacks will be provided before and after the talk.

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