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SUMMARY:Gautier Ponsinet (Max Planck Institute)
DTSTART:20200625T143000Z
DTEND:20200625T160000Z
DTSTAMP:20260423T024454Z
UID:NumTheory/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NumTheory/1/
 ">Universal norms of p-adic Galois representations and the Fargues-Fontain
 e curve</a>\nby Gautier Ponsinet (Max Planck Institute) as part of CRM-CIC
 MA Québec Vermont Seminar Series\n\nLecture held in En ligne/Web.\n\nAbst
 ract\nIn 1996\, Coates and Greenberg computed explicitly the module of uni
 versal norms for abelian varieties over perfectoid field extensions.  The 
 computation of this module is employed in Iwasawa theory\, notably to prov
 e "control theorems" for Selmer groups\, generalizing Mazur's foundational
  work on the Iwasawa theory of abelian varieties over Zp-extensions.  \n\n
 Coates and Greenberg raised the natural question on possible generalisatio
 ns of their result to p-adic representations.  In this talk\, I will prese
 nt a new approach to this question relying on the classification of vector
  bundles over the Fargues-Fontaine curve\, which allows us to answer Coate
  and Greenberg's question affirmatively in new cases.\n
LOCATION:https://researchseminars.org/talk/NumTheory/1/
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