Speaker: Dali Shen 沈大立 (BIMSA)
Abstract: When the geometric invariant theory and the Baily-Borel theory both apply to a moduli space, the two resulting compactifications do not necessarily coincide. They usually differ by a birational transformation in terms of an arrangement. In this talk, I will compare the MMP singularities on both sides, specifically for the ball quotient case. It turns out that if the relevant arrangement is nonempty, the birational transformation from the GIT compactification to the Baily-Borel compactification turns non-log canonical singularities to log canonical singularities. This phenomenon can be illustrated by the moduli spaces of quartic curves, rational elliptic surfaces and cubic threefolds.
Time: 10:30~11:30, Wednesday, 2026.1.21
Location: R910, SIMIS
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