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: The Beauville–Voisin conjecture for double EPW quartics

Speaker: Carlo Mazzanti (Bielefeld)

Abstract: Chow rings of hyperkähler varieties are best understood in settings where one has strong control over their geometry, such as for Fano varieties of lines on cubic fourfolds, while the picture is less complete for moduli spaces of sheaves on K3 surfaces. Double EPW quartics are moduli spaces of twisted sheaves, but also admit two other constructions: via conics in Verra fourfolds and as lagrangian degeneracy loci. In this talk, I will explain how these constructions interact and can be exploited to prove the Beauville–Voisin and Franchetta conjectures for them.

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Some snacks will be provided before and after the talk.

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