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SUMMARY:Jeffrey Giansiracusa (Swansea University)
DTSTART:20201016T140000Z
DTEND:20201016T150000Z
DTSTAMP:20260423T021004Z
UID:LAGARTOS/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/8/"
 >A general theory of tropical differential equations</a>\nby Jeffrey Gians
 iracusa (Swansea University) as part of (LAGARTOS) Latin American Real and
  Tropical Geometry Seminar\n\n\nAbstract\nA few years ago Grigoriev introd
 uced a theory of tropical differential equations and how to tropicalize al
 gebraic ODEs over a trivially valued field.  In his setup\, one looks at f
 ormal power series solutions\, and tropicalizing is taking the support.   
 I will describe work with Stefano Mereta towards building a theory of sign
 ificantly more general scope with potential applications to p-adic differe
 ntial equations.  I will describe analogues of valuations\, Berkovich anal
 ytification\, and tropicalization\, for algebraic differential equations o
 ver a differential field with a non-trivial valuation. The theory is built
  in the language of idempotent semirings.\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/8/
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