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SUMMARY:Philip Engel (University of Georgia)
DTSTART:20200916T200000Z
DTEND:20200916T210000Z
DTSTAMP:20260414T173325Z
UID:BUGeom/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BUGeom/2/">C
 ompactification of K3 moduli</a>\nby Philip Engel (University of Georgia) 
 as part of Boston University Geometry/Physics Seminar\n\n\nAbstract\nBy th
 e Torelli theorem\, the moduli space of lattice polarized K3 surfaces is\n
 the quotient of a Hermitian symmetric domain by an arithmetic group. In th
 is capacity\,\nit has compactifications such as the Baily-Borel and toroid
 al compactifications\nwhich depend on some choice of fan. On the other han
 d\, choosing canonically an ample\ndivisor on every such K3\, one can buil
 d a compactification via so-called (KSBA) stable pairs.\nI will discuss jo
 int work with V. Alexeev on how one proves that the normalization of\na st
 able pair compactification of K3 moduli is the toroidal compactification \
 nfor an appropriate choice of fan. We will focus on the example of ellipti
 c K3s\, polarized\nby the section plus the sum of the singular fibers.\n
LOCATION:https://researchseminars.org/talk/BUGeom/2/
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