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DTSTAMP:20260405T232525Z
UID:648ae47505085426267683@ist.ac.at
DTSTART:20240523T130000
DTEND:20240523T150000
DESCRIPTION:Speaker: Elyes Boughattas\nhosted by Tim Browning\nAbstract: De
 termining whether a given diophantine equation has a solution is a wide op
 en question in number theory. For some varieties -- e.g. quadrics -- the e
 xistence of local points is enough to determine the existence of global po
 ints: this is known as the Hasse principle. Nevertheless\, the latter does
  not hold for cubic forms\, as shown by Selmer in 1951. Manin introduced i
 n 1970 a set called the Brauer-Manin set\, which is expected to describe a
 ll obstructions to the Hasse principle\, at least for the wide family of r
 ationally connected varieties.In this talk\, I shall present a work in pro
 gress which explains how this Brauer-Manin setting is related to fibration
 s over P^1\, whenever the base field is the function field of a curve over
  a large finite field.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Elyes Boughattas: Fibration method over F_q(t)
URL:https://talks-calendar.ista.ac.at/events/4970
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