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SUMMARY:Stefano Mereta (MPI-Leipzig)
DTSTART:20230421T140000Z
DTEND:20230421T150000Z
DTSTAMP:20260423T021048Z
UID:LAGARTOS/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/57/
 ">The Fundamental theorem of tropical differential algebra over nontrivial
 ly valued fields</a>\nby Stefano Mereta (MPI-Leipzig) as part of (LAGARTOS
 ) Latin American Real and Tropical Geometry Seminar\n\n\nAbstract\nWe will
  discuss a fundamental theorem for tropical differential equations analogu
 e of the fundamental theorem of tropical geometry in this context. We exte
 nd results from Aroca et al. and from Fink and Toghani\, working only in t
 he case of trivial valuation as introduced by Grigoriev\, to differential 
 equations with power series coefficients over any valued field. To do so\,
  a crucial ingredient is the framework for tropical differential equations
  introduced by Giansiracusa and Mereta. As a corollary of the fundamental 
 theorem\, the radius of convergence of solutions of a differential equatio
 n over a nontrivially valued field can be computed tropically.\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/57/
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