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SUMMARY:Vasiliy Neckrasov (Brandeis University)
DTSTART:20250930T164500Z
DTEND:20250930T174500Z
DTSTAMP:20260423T022007Z
UID:NEDNT/91
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/91/">Z
 ero-one laws for uniform inhomogeneous Diophantine approximations</a>\nby 
 Vasiliy Neckrasov (Brandeis University) as part of New England Dynamics an
 d Number Theory Seminar\n\nLecture held in Online.\n\nAbstract\nIn [Compos
 itio Math. 155 (2019)] Kleinbock and Wadleigh proved a “zero-one law” 
 for uniform Diophantine approximations to pairs (\\Theta\, \\eta) of a mat
 rix \\Theta and vector \\eta by using dynamics on the space of grids. We w
 ill show how the classical Diophantine transference principle provides an 
 alternative approach to this problem and allows us to prove some generaliz
 ations. Namely\, we will reduce the statement for pairs to the twisted (
 “fixed matrix”) case and show zero-one laws for twisted uniform approx
 imations.\nAll the proofs are made in weighted case and\, more generally\,
  in the setup of approximations with arbitrary weight functions\, which wi
 ll also be discussed.\nThis talk is based on arXiv:2508.01912 and arXiv:25
 03.21180.\n
LOCATION:https://researchseminars.org/talk/NEDNT/91/
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