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SUMMARY:Yunqing Tang (Berkeley)
DTSTART:20240514T190000Z
DTEND:20240514T200000Z
DTSTAMP:20260419T151755Z
UID:BC-MIT/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BC-MIT/11/">
 The arithmetic of power series and applications to irrationality</a>\nby Y
 unqing Tang (Berkeley) as part of BC-MIT number theory seminar\n\nLecture 
 held in Maloney 560 at Boston College.\n\nAbstract\nIn this talk\, we will
  discuss various irrationality and linear independence problems including 
 certain products of two (classical or p-adic) log values. The proofs use a
 n arithmetic holonomicity theorem\, the special case of which was used in 
 the proof of the unbounded denominators conjecture\; our arithmetic holono
 micity theorem is inspired from Andre’s work on Grothendieck-Katz p-curv
 ature conjecture on arithmetic differential equations. A geometric version
  of our arithmetic holonomicity theorems have also been studied in recent 
 work of Bost and Charles.\n\nThis is joint work in progress with Frank Cal
 egari and Vesselin Dimitrov.\n
LOCATION:https://researchseminars.org/talk/BC-MIT/11/
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