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SUMMARY:Yuval Yifrach (Technion)
DTSTART:20231005T161500Z
DTEND:20231005T173000Z
DTSTAMP:20260423T021858Z
UID:NEDNT/61
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/61/">A
  variation on the p-adic Littlewood Conjecture</a>\nby Yuval Yifrach (Tech
 nion) as part of New England Dynamics and Number Theory Seminar\n\nLecture
  held in Online.\n\nAbstract\nWe consider a variation on the p-adic Little
 wood Conjecture where instead of using powers of one prime\, we use arbitr
 arily large primes. We examine this conjecture from two viewpoints: the Di
 ophantine-approximation one and the dynamical one. Using the dynamical vie
 wpoint\, we rephrase the conjecture using Hecke neighbors and prove a part
 ial statement towards the conjecture. Namely\, we prove that the Hausdorff
  dimension of the exception set is strictly smaller than 1. Our tools for 
 the proof are mainly the effective equidistribution of Hecke neighbors due
  to Oh et al and to expander properties of $SL_2(Z/pZ)$ due to Bourgain-Ga
 mburd. This talk is based on an ongoing joint work with Erez Nesharim.\n
LOCATION:https://researchseminars.org/talk/NEDNT/61/
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