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: Parametrising Complete Intersections

Speaker: Jakub Wiaterek

Abstract:We discuss compactifications of Hilbert schemes of complete intersections and use them to build moduli spaces of such polarised varieties in certain cases. Benoist constructed such Hilbert schemes and used certain natural compactifications to construct moduli spaces via GIT. We explore how Non-Reductive GIT naturally appears in these constructions and how it allows us to generalize his results.

Some snacks will be provided before and after the talk.

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