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SUMMARY:Ben Heuer (University of Frankfurt)
DTSTART:20241127T160000Z
DTEND:20241127T170000Z
DTSTAMP:20260418T065818Z
UID:LNTS/144
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/144/">P
 ro-étale vector bundles and the p-adic Simpson correspondence</a>\nby Ben
  Heuer (University of Frankfurt) as part of London number theory seminar\n
 \nLecture held in Huxley 140\, Imperial College.\n\nAbstract\nI will first
  explain how various classical problems in p-adic number theory such as Se
 n theory can be reinterpreted geometrically in terms of vector bundles on 
 Scholze's pro-étale site. I will then explain how such pro-étale vector 
 bundles can be understood systematically by means of "p-adic non-abelian H
 odge theory". This is closely related to Faltings' p-adic Simpson correspo
 ndence\, relating p-adic representations of fundamental groups of p-adic v
 arieties to Higgs bundles. Finally\, I will sketch how moduli spaces of pr
 o-étale vector bundles can help understand open questions in Sen theory a
 nd the p-adic Simpson correspondence.\n
LOCATION:https://researchseminars.org/talk/LNTS/144/
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