BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Leo Jimenez (Ohio State University)
DTSTART:20240912T180000Z
DTEND:20240912T190000Z
DTSTAMP:20260423T021246Z
UID:OLS/157
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OLS/157/">In
 ternality of autonomous systems of differential equations</a>\nby Leo Jime
 nez (Ohio State University) as part of Online logic seminar\n\n\nAbstract\
 nWhen solving a differential equation\, one sometimes finds that solutions
  can be expressed using a finite number of fixed\, particular solutions\, 
 and some complex numbers. As an example\, the set of solutions of a linear
  differential equation is a finite-dimensional complex vector space. A mod
 el-theoretic incarnation of this phenomenon is internality to the constant
 s in a differentially closed field of characteristic zero. In this talk\, 
 I will define what this means\, and discuss some recent progress\, joint w
 ith Christine Eagles\, on finding concrete methods to determine whether or
  not the solution set of a differential equation is internal. A corollary 
 of our method also gives a criteria for solutions to be Liouvillian: I wil
 l show a concrete application to Lotka-Volterra systems.\n
LOCATION:https://researchseminars.org/talk/OLS/157/
END:VEVENT
END:VCALENDAR