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SUMMARY:Hamed Mousavi (King's College London)
DTSTART:20240306T140000Z
DTEND:20240306T150000Z
DTSTAMP:20260422T103719Z
UID:FGC-IPM/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FGC-IPM/43/"
 >POINTWISE ERGODIC THEOREM ALONG PRIMES</a>\nby Hamed Mousavi (King's Coll
 ege London) as part of FGC-HRI-IPM Number Theory Webinars\n\n\nAbstract\nI
 n this talk\, we will be exploring the pointwise convergence of ergodic av
 erages along\nthe primes. Our discussion will begin by explaining the cont
 ributions of Birkhoff\, as\nwell as the efforts made by Bourgain and Wierd
 l in this direction\, which was concluded\nby Mirek’s proof of pointwise
  ergodic convergence for primes. Additionally\, we will be\npresenting som
 e of our own results on structure theorems in the endpoint case Lplogq\,\n
 along with a pointwise ergodic theorem in the Gaussian setting. Moving for
 ward\, we will\nbriefly mention the breakthrough result made by Krause-Mir
 ek-Tao on bilinear ergodic\naverages. This will be departing point in our 
 current project on the pointwise ergodic\ntheorem for bilinear averages al
 ong prime numbers. If time allows\, we will provide a toy\nmodel example i
 n linear theory\, which will demonstrate a typical method used in this\nar
 ea of study.\n\npassword is 848084.\n
LOCATION:https://researchseminars.org/talk/FGC-IPM/43/
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