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SUMMARY:Alexander Petrov (Harvard University)
DTSTART:20220330T020000Z
DTEND:20220330T033000Z
DTSTAMP:20260423T040623Z
UID:POINTS/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINTS/30/">
 On arithmetic characterization of local systems of geometric origin</a>\nb
 y Alexander Petrov (Harvard University) as part of POINTS - Peking Online 
 International Number Theory Seminar\n\n\nAbstract\nI will talk about the p
 roblem of classifying local systems of geometric origin on algebraic varie
 ties over complex numbers.\n\nConjecture: For a smooth algebraic variety \
 \(S\\) over a finitely generated field \\(F\\) \, a semi-simple \\(\\mathb
 b{Q}_l\\)-local system on \\(S_{\\bar{F}}\\) is of geometric origin if and
  only if it extends to a local system on \\(S_{F'} \\) for a finite extens
 ion \\(F' \\supset F\\) .\n\nMy main goal will be to provide motivation fo
 r this conjecture arising from the Fontaine-Mazur conjecture\, and survey 
 known results and related problems.\n\nZoom number: 827 4915 3248\n\nZoom 
 password: 623413\n
LOCATION:https://researchseminars.org/talk/POINTS/30/
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