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SUMMARY:Shreyasi Datta (Uppsala University)
DTSTART:20240314T161500Z
DTEND:20240314T173000Z
DTSTAMP:20260423T021928Z
UID:NEDNT/72
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/72/">B
 ad is null via constant invariance</a>\nby Shreyasi Datta (Uppsala Univers
 ity) as part of New England Dynamics and Number Theory Seminar\n\nLecture 
 held in Online.\n\nAbstract\nThe set of badly approximable vectors in Diop
 hantine approximation plays a significant role. In a recent work with Vict
 or Beresnevich\, Anish Ghosh\, and Ben Ward\, we developed a general frame
 work to show a `constant invariance’ property for a large class of limsu
 p sets of neighbourhoods of subsets of a metric measure space. As a conseq
 uence\, we get that the set of badly approximable points has measure zero 
 in a metric space equipped with certain natural measures. In particular\, 
 given any C^2 manifold\, we show almost every point is not badly approxima
 ble.\n
LOCATION:https://researchseminars.org/talk/NEDNT/72/
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