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SUMMARY:Shreyasi Datta (University of Michigan)
DTSTART:20221103T161500Z
DTEND:20221103T173000Z
DTSTAMP:20260423T021929Z
UID:NEDNT/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/54/">p
 -Adic Diophantine approximation with respect to fractal measures</a>\nby S
 hreyasi Datta (University of Michigan) as part of New England Dynamics and
  Number Theory Seminar\n\nLecture held in Online.\n\nAbstract\nI will give
  an introduction to Diophantine approximation problems starting with the f
 amous Sprindzuk Conjecture (which is now a theorem by Kleinbock and Margul
 is\, who solved this using homogeneous dynamics).\nNext\, I will talk abou
 t p-adic Diophantine approximation and how it is different than the real c
 ase. In a very recent work with Anish Ghosh and Victor Beresnevich we solv
 ed a conjecture of Kleinbock and Tomanov\, which shows pushforward of a fr
 actal measure by ‘nice’ functions exhibits ‘nice’ Diophantine prop
 erties. In particular\, we prove p-adic analogue of a result by Kleinbock\
 , Lindenstrauss and Weiss on friendly measures. I will talk about how lack
  of the mean value theorem makes life difficult in the p-adic fields. (No 
 prior knowledge on this subject will be assumed!)\n
LOCATION:https://researchseminars.org/talk/NEDNT/54/
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