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SUMMARY:Vincenzo Mantova (University of Leeds)
DTSTART:20251118T140000Z
DTEND:20251118T150000Z
DTSTAMP:20260421T154043Z
UID:UEAPS/63
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/63/">C
 omposition of transseries\, monotonicity\, and analyticity</a>\nby Vincenz
 o Mantova (University of Leeds) as part of ANTLR seminar\n\nLecture held i
 n Queens 1.03.\n\nAbstract\nTransseries generalise power series by includi
 ng exponential and logarithmic terms\, if not more\, and can be interprete
 d as germs of a non-standard Hardy field by composition (for instance\, on
  surreal numbers). I'll discuss a few results that must 'obviously' be tru
 e\, yet their proofs are not obvious: that composition is monotonic in bot
 h arguments\, once claimed but not proved by Edgar for LE-series\, that it
  satisfies a suitable Taylor theorem and that in fact composition is 'anal
 ytic with large radius of convergence' (joint with V. Bagayoko)\, somethin
 g which appeared before in various special forms\, but not in full general
 ity. I'll show how monotonicity and Taylor can be used to prove some fairl
 y general normalisation results for hyperbolic transseries (joint with D. 
 Peran\, J.-P. Rolin\, T. Servi).\n
LOCATION:https://researchseminars.org/talk/UEAPS/63/
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