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SUMMARY:Taehyeong Kim (Brandeis University)
DTSTART:20261008T161500Z
DTEND:20261008T173000Z
DTSTAMP:20261027T011216Z
UID:NEDNT/108
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/108/">
 A zero–one law for twisted Diophantine approximation</a>\nby Taehyeong K
 im (Brandeis University) as part of New England Dynamics and Number Theory
  Seminar\n\nLecture held in Online.\n\nAbstract\nWe study twisted Diophant
 ine approximation\, where the matrix is fixed and the target varies. I wil
 l present an exact Lebesgue measure zero–one law for arbitrary matrices 
 and non-increasing approximation functions satisfying dyadic regularity. T
 he criterion corrects the usual volume sum by homogeneous lattice-point co
 unts and can be expressed through all successive minima of an associated d
 iagonal lattice trajectory\, capturing clustering in every direction. I wi
 ll also discuss applications to inhomogeneous approximation constants and 
 Hausdorff dimension. This talk is based on a joint project with Vasiliy Ne
 ckrasov\; the other part establishes Hausdorff dimension formulae in unifo
 rm twisted Diophantine approximation.\n
LOCATION:https://researchseminars.org/talk/NEDNT/108/
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