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SUMMARY:Shiva Chidambaram (MIT)
DTSTART:20240404T200000Z
DTEND:20240404T213000Z
DTSTAMP:20260422T220706Z
UID:STAGE/104
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/104/">
 Baker's method</a>\nby Shiva Chidambaram (MIT) as part of STAGE\n\nLecture
  held in Room 2-131 in the MIT Simons Building.\n\nAbstract\nIn this talk\
 , we will discuss Baker's theorem on lower bounds for linear forms in loga
 rithms\, and how it gives effective bounds for quasi-integral points on $\
 \mathbb{P}^1 \\setminus \\{0\,1\,\\infty\\}$. Using coverings\, this furth
 er yields effective bounds for quasi-integral points on elliptic\, superel
 liptic and certain hyperelliptic affine curves. We will also discuss an ap
 plication towards finding elliptic curves with good reduction outside a gi
 ven finite set of places.\n\nReference: Chapter 8 of Serre\, Lectures on t
 he Mordell-Weil theorem.\n
LOCATION:https://researchseminars.org/talk/STAGE/104/
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