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SUMMARY:Wei Zhang (MIT)
DTSTART:20211028T213000Z
DTEND:20211028T223000Z
DTSTAMP:20260423T005824Z
UID:JNTS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JNTS/27/">p-
 Adic heights of the arithmetic diagonal cycles</a>\nby Wei Zhang (MIT) as 
 part of Columbia CUNY NYU number theory seminar\n\n\nAbstract\nThis is a w
 ork in progress joint with Daniel Disegni. We formulate a p-adic analogue 
 of the Arithmetic Gan–Gross–Prasad conjecture for unitary groups\, rel
 ating the p-adic height pairing of the arithmetic diagonal cycles to the f
 irst central derivative (along the cyclotomic direction) of a p-adic Ranki
 n–Selberg L-function associated to cuspidal automorphic representations.
  In the good ordinary case we are able to prove the conjecture\, at least 
 when the ramifications are mild at inert primes. We deduce some applicatio
 ns to the p-adic version of the Bloch-Kato conjecture.\n
LOCATION:https://researchseminars.org/talk/JNTS/27/
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