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SUMMARY:Monica Kang (California Institute of Technology)
DTSTART:20211209T195000Z
DTEND:20211209T205000Z
DTSTAMP:20260423T041504Z
UID:GPRTatNU/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/36/
 ">Characteristic numbers of elliptic fourfolds</a>\nby Monica Kang (Califo
 rnia Institute of Technology) as part of Geometry\, Physics\, and Represen
 tation Theory Seminar\n\n\nAbstract\nI will first consider crepant resolut
 ions of Weierstrass models corresponding to elliptically-fibered fourfolds
  with simple Lie algebras. I will further discuss the fibrations with mult
 isections or nontrivial Mordell-Weil groups.  In contrast to the case of f
 ivefolds\, Chern and Pontryagin numbers of fourfolds are invariant under c
 repant birational maps. This fact enables us to be able to compute Chern a
 nd Pontryagin numbers\, independently from a choice of a crepant resolutio
 n\, along with various other characteristic numbers such as the Euler char
 acteristic\, the holomorphic genera\, the Todd-genus\, the L-genus\, the A
 -genus\, and the eight-form curvature invariant from M-theory. For the cas
 e of Calabi-Yau fourfolds\, F-theory compactification provides the resulti
 ng 4d N=1 gauge theories.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/36/
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