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SUMMARY:K-moduli of Fano threefolds and genus four curves - Yuchen Liu (No
 rthwestern University)
DTSTART:20240516T091500Z
DTEND:20240516T101500Z
UID:TALK214393@talks.cam.ac.uk
DESCRIPTION:In this talk\, I will show that the K-moduli space of Fano thr
 eefolds obtained by blowing up P^3 along (2\, 3)-complete intersection cur
 ves is isomorphic to a VGIT moduli space studied by Casalaina-Martin-Jense
 n-Laza. In particular\, it is a two-step birational modification of the GI
 T moduli space of (3\, 3)-curves on P^1&times\;P^1. Our strategy is the mo
 duli continuity method with moduli of lattice-polarized K3 surfaces\, gene
 ral elephants and Sarkisov links as new ingredients. Based on joint work w
 ith Junyan Zhao.
LOCATION:Seminar Room 1\, Newton Institute
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