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SUMMARY:Vojta's generalized abc conjecture  for algebraic tori over functi
 on fields - Julie Tzu-Yueh Wang (Academia Sinica)
DTSTART:20240322T140000Z
DTEND:20240322T150000Z
UID:TALK209479@talks.cam.ac.uk
DESCRIPTION:We first formulate a result concerning Vojta's generalized abc
  conjecture for algebraic tori over function fields with explicitly determ
 inable exceptional sets. &nbsp\;As an application\, we &nbsp\;investigate 
 the Lang-Vojta Conjecture for &nbsp\;varieties of log general type that ar
 e ramified covers of algebraic tori over function fields. &nbsp\; &nbsp\;\
 nOur methods also apply to the complex situation\, allowing us to identify
  explicit exceptional sets for the corresponding case of Vojta's general a
 bc conjecture (complex version) and the Green-Griffith-Lang conjecture.\nT
 his is a joint work &nbsp\;with Guo\, Nguyen\, and Sun.
LOCATION:Seminar Room 1\, Newton Institute
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