Degeneration of cubic hypersurfaces and hyper-Kähler manifolds uniformised by a complex ball
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SFB-Kolloquium
Samuel Boissière (Poitiers)
| What |
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| When |
Jun 14, 2018 from 03:30 pm to 04:30 pm |
| Where | Mainz, 05-432 (Hilbertraum) |
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Abstract.
The moduli space of cubic threefolds is the arithmetic quotient of the complementary of a hyperplane arrangement in the 10-dimensional complex ball. This coincides with the period domain of a family of hyper-Kähler manifolds with an order three automorphism. I will explain what happens to the automorphism when the cubic threefold degenerates.
