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SUMMARY:Jesse Pajwani (Imperial College London)
DTSTART:20230607T150000Z
DTEND:20230607T160000Z
DTSTAMP:20260418T070030Z
UID:LNTS/102
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/102/">T
 he valuative section conjecture and étale homotopy</a>\nby Jesse Pajwani 
 (Imperial College London) as part of London number theory seminar\n\nLectu
 re held in KCL\, Strand Building\, Room S3.30.\n\nAbstract\nThe p-adic sec
 tion conjecture is a long standing conjecture of Grothendieck about curves
  of high genus over p-adic fields\, linking the p-adic points of a curve t
 o sections of a short exact sequence of étale fundamental groups. A power
 ful way of interpreting the section conjecture is as a fixed point stateme
 nt\, and this interpretation makes the statement look like many other theo
 rems in algebraic topology. For this talk\, we'll first introduce the fram
 ing of the section conjecture as a fixed point statement\, and then show t
 his interpretation allows us to give an alternate proof of part of a resul
 t of Pop and Stix towards the section conjecture. This new proof generalis
 es to other fields\, and the new fields allow us to extend the original re
 sult to a larger class of varieties.\n
LOCATION:https://researchseminars.org/talk/LNTS/102/
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