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SUMMARY:Victor Shirandami (University of Manchester)
DTSTART:20241029T130000Z
DTEND:20241029T140000Z
DTSTAMP:20260423T021337Z
UID:OWNS/139
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/139/">P
 robabilistic Effectivity in the Subspace Theorem and the Distribution of A
 lgebraic Projective Points</a>\nby Victor Shirandami (University of Manche
 ster) as part of One World Numeration seminar\n\n\nAbstract\nThe celebrate
 d Roth’s theorem in Diophantine Approximation determines the degree to w
 hich an algebraic number may be approximated by rationals. A corollary of 
 this theorem yields a transcendence criterion for real numbers based off o
 f their decimal expansion. This theorem\, and its broad generalisation due
  to Schmidt\, famously suffers from ineffectivity. This motivates one to a
 ddress this issue in the probabilistic context\, whereby one makes progres
 s in the direction of effectivity in an appropriately defined probabilisti
 c regime. From this analysis is derived an analogue of Khintchine's theore
 m for algebraic numbers\, answering a question of Beresnevich\, Bernick\, 
 and Dodson on a density version of Waldschmidt’s conjecture.\n
LOCATION:https://researchseminars.org/talk/OWNS/139/
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