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SUMMARY:Washington Taylor (MIT)
DTSTART:20220328T190000Z
DTEND:20220328T200000Z
DTSTAMP:20260423T021408Z
UID:WHCGP/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WHCGP/52/">M
 iddle intersection forms on singular elliptic Calabi-Yau fourfolds\, and a
 pplications to the standard model and mirror symmetry</a>\nby Washington T
 aylor (MIT) as part of Western Hemisphere colloquium on geometry and physi
 cs\n\n\nAbstract\nRecent work with Jefferson and Turner indicates that the
  intersection form on the vertical part of middle cohomology of singular e
 lliptic Calabi-Yau fourfolds is independent of resolution. This suggests t
 hat the intersection structure should have a natural definition even in th
 ese singular geometries. The resulting intersection form has a simple bloc
 k-diagonal structure in terms of Kodaira singularities and the geometry of
  the base of the elliptic fibration\; the talk will describe applications 
 of this intersection form to analysis of chiral matter and standard model 
 constructions in F-theory as well as new insights into mirror symmetry\, i
 n particular providing in some cases a complete description of the interse
 ction form on H_4 (X\, Z) for a smooth Calabi-Yau fourfold including both 
 vertical and horizontal parts.\n
LOCATION:https://researchseminars.org/talk/WHCGP/52/
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