K-moduli of Fano threefolds and genus four curves

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• Yuchen Liu (Northwestern University)
• Thursday 16 May 2024, 10:15-11:15
• Seminar Room 1, Newton Institute.

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EMGW04 - K-stability and moment maps

In this talk, I will show that the K-moduli space of Fano threefolds obtained by blowing up P^{3 along (2, 3)-complete intersection curves is isomorphic to a VGIT moduli space studied by Casalaina-Martin-Jensen-Laza. In particular, it is a two-step birational modification of the GIT moduli space of (3, 3)-curves on P}1×P^1. Our strategy is the moduli continuity method with moduli of lattice-polarized K3 surfaces, general elephants and Sarkisov links as new ingredients. Based on joint work with Junyan Zhao.

This talk is part of the Isaac Newton Institute Seminar Series series.

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