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SUMMARY:Yuchen Liu (Yale)
DTSTART:20200529T174500Z
DTEND:20200529T184500Z
DTSTAMP:20260407T214208Z
UID:agstanford/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/1
 3/">Moduli spaces of quartic hyperelliptic K3 surfaces via K-stability</a>
 \nby Yuchen Liu (Yale) as part of Stanford algebraic geometry seminar\n\n\
 nAbstract\nA general polarized hyperelliptic K3 surfaces of degree 4 is a 
 double cover of $\\mathbf{P\n}^ 1 \\times \\mathbf{P}^1$ branched along a 
 bidegree $(4\,4)$ curve. Classically there are two compactifications of th
 eir moduli spaces: one is the GIT quotient of $(4\,4)$ curves\, the other 
 is the Baily-Borel compactification of their periods. We show that K-stabi
 lity provides a natural modular interpolation between these two compactifi
 cations. This provides a new aspect toward a recent result of Laza-O'Grady
 . Based on joint work in progress with K. Ascher and K. DeVleming.\n\nThe 
 discussion for Yuchen Liu’s talk is taking place not in zoom-chat\, but 
 at https://tinyurl.com/2020-05-29-yl (and will be deleted after 3-7 days).
 \n
LOCATION:https://researchseminars.org/talk/agstanford/13/
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