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SUMMARY:Kristin De Vleming (University of California\, San Diego)
DTSTART:20200512T160000Z
DTEND:20200512T170000Z
DTSTAMP:20260423T035820Z
UID:ZAG/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/6/">Wall
  crossing for K-moduli spaces of plane curves</a>\nby Kristin De Vleming (
 University of California\, San Diego) as part of ZAG (Zoom Algebraic Geome
 try) seminar\n\n\nAbstract\nThis talk will focus on compactifications of t
 he moduli space of smooth plane curves of degree d at least 4.  We will re
 gard a plane curve as a log Fano pair (P2\, aC)\, where a is a rational nu
 mber\, and study the compactifications arising from K stability for these 
 pairs and log Fano pairs in general.  We establish a wall crossing framewo
 rk to study these spaces as a varies and show that\, when a is small\, the
  moduli space coming from K stability is isomorphic to the GIT moduli spac
 e.  We describe all wall crossings for degree 4\, 5\, and 6 plane curves a
 nd discuss the picture for general Q-Gorenstein smoothable log Fano pairs.
   This is joint work with Kenneth Ascher and Yuchen Liu.\n
LOCATION:https://researchseminars.org/talk/ZAG/6/
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