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SUMMARY:Philip Engel
DTSTART:20211012T140000Z
DTEND:20211012T150000Z
DTSTAMP:20260423T052834Z
UID:Freemath/62
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/62/
 ">Compact K3 moduli</a>\nby Philip Engel as part of Free Mathematics Semin
 ar\n\n\nAbstract\nThe moduli space of polarized K3 surfaces is a non-compa
 ct quotient of a symmetric space by an arithmetic group. In this capacity\
 , it has an infinite class of combinatorially-defined "semitoroidal compac
 tifications." I will discuss joint work with Valery Alexeev that sometimes
  semitoroidal compactifications have geometric meaning: they parameterize 
 "stable K3 surfaces" in a way similar to how the Deligne-Mumford compactif
 ication of curves parameterizes "stable curves." Inspired by ideas from mi
 rror symmetry\, the semifan of such a compactification can sometimes be co
 mputed\, using symplectic and integral-affine geometry.\n
LOCATION:https://researchseminars.org/talk/Freemath/62/
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