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SUMMARY:Tristan Collins (MIT)
DTSTART:20211018T190000Z
DTEND:20211018T200000Z
DTSTAMP:20260423T024019Z
UID:UTD-GT/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UTD-GT/1/">M
 irror symmetry for log del Pezzo surfaces</a>\nby Tristan Collins (MIT) as
  part of UT Dallas Geometry-Topology Seminars\n\n\nAbstract\nIf X is a del
  Pezzo surface and D is a smooth anti-canonical divisor\, we can regard th
 e complement X\\D as a non-compact Calabi-Yau surface.  I will discuss a p
 roof of a strong form of the Strominger-Yau-Zaslow mirror symmetry conject
 ure for these non-compact surfaces.  It turns out the mirror Calabi-Yau is
  a rational elliptic surface (in particular\, it has an elliptic fibration
  onto P^1) with a singular fiber which is a chain of nodal spheres.  I wil
 l discuss how we can construct special Lagrangian fibrations on these mani
 folds\, as well as moduli of complex and symplectic structures and how hyp
 er-Kahler rotation allows us to construct an identification of these modul
 i spaces.  This is joint work with A. Jacob and Y.-S. Lin.\n
LOCATION:https://researchseminars.org/talk/UTD-GT/1/
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