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DTSTART:20200329T030000
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DTSTART:20191027T020000
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DTSTAMP:20260404T015814Z
UID:5c3337d5621da721242157@ist.ac.at
DTSTART:20191128T140000
DTEND:20191128T160000
DESCRIPTION:Speaker: Rachel Newton\nhosted by Timothy Browning\nAbstract: M
 ethods for solving polynomial equations in the integers and rationals have
  been sought and studied for thousands of years. Modern approaches try to 
 piece together 'local' (meaning real and p-adic) information to decide whe
 ther a polynomial equation has a 'global' (meaning rational) solution. I w
 ill describe this approach and its limitations\, with the aim of quantifyi
 ng how often the local-global method fails within families of polynomial e
 quations arising from the norm map between fields\, as seen in Galois theo
 ry. I will present results from two joint papers: one with Tim Browning an
 d the other with Christopher Frei and Daniel Loughran
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Rachel Newton: Counting failures of a local-global principle
URL:https://talks-calendar.ista.ac.at/events/2366
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