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SUMMARY:Kristin De Vleming (University of California\, San Diego)
DTSTART:20200512T160000Z
DTEND:20200512T170000Z
DTSTAMP:20260404T170959Z
UID:ZAG/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/ZAG/6
 /">Wall crossing for K-moduli spaces of plane curves</a>\nby Kristin De Vl
 eming (University of California\, San Diego) as part of ZAG (Zoom Algebrai
 c Geometry) seminar\n\n\nAbstract\nThis talk will focus on compactificatio
 ns of the moduli space of smooth plane curves of degree d at least 4.  We 
 will regard a plane curve as a log Fano pair (P2\, aC)\, where a is a rati
 onal number\, and study the compactifications arising from K stability for
  these pairs and log Fano pairs in general.  We establish a wall crossing 
 framework to study these spaces as a varies and show that\, when a is smal
 l\, the moduli space coming from K stability is isomorphic to the GIT modu
 li space.  We describe all wall crossings for degree 4\, 5\, and 6 plane c
 urves and discuss the picture for general Q-Gorenstein smoothable log Fano
  pairs.  This is joint work with Kenneth Ascher and Yuchen Liu.\n
LOCATION:https://stable.researchseminars.org/talk/ZAG/6/
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