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SUMMARY:Marco D’Addezio (Jussieu)
DTSTART:20231122T160000Z
DTEND:20231122T170000Z
DTSTAMP:20260418T065553Z
UID:LNTS/109
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/109/">T
 he p-torsion of the Brauer group of an abelian variety</a>\nby Marco D’A
 ddezio (Jussieu) as part of London number theory seminar\n\nLecture held i
 n Room 140\, the Huxley Building\, Imperial College London.\n\nAbstract\nI
  will present a new finiteness result for the $p$-primary torsion of the t
 ranscendental Brauer group of abelian varieties in characteristic $p$. Thi
 s follows from a certain “fppf variant” of the Tate conjecture for abe
 lian varieties. The main ingredient in the proof is de Jong's crystalline 
 Tate conjecture. In the talk\, I will recall de Jong's theorem\, the relat
 ion between crystalline cohomology and the fppf cohomology of $\\mu_p^n$\,
  and I will explain some steps of the proof.\n
LOCATION:https://researchseminars.org/talk/LNTS/109/
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