BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Michael Roop
DTSTART:20251218T153000Z
DTEND:20251218T160000Z
DTSTAMP:20260423T024025Z
UID:gbgphd/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/gbgphd/29/">
 What are solutions to O(P)DEs?</a>\nby Michael Roop as part of Gothenburg 
 PhD seminar\n\nLecture held in MVL14.\n\nAbstract\nIn this talk\, I will (
 try to) give a (soft) introduction to the geometric theory of differential
  equations. This theory makes rigorous sense of multivalued solutions to b
 oth ordinary and partial differential equations\, which serve as an altern
 ative to weak solutions developed in the functional analytic framework.\nT
 his is the only theory (I am aware of) that formulates precise sufficient 
 conditions for integrability of general type ODEs (sort of “Galois theor
 y” for ODEs) in terms properties of their symmetry group. This result is
  known as the Lie-Bianchi theorem. Its particular case is the celebrated L
 iouville-Arnold theorem on integrability of Hamiltonian systems. If time p
 ermits (likely\, not)\, we will also see applications of this theory in di
 fferent areas: hydrodynamics\, Monge-Ampère equations\, classification pr
 oblems in algebra.\n
LOCATION:https://researchseminars.org/talk/gbgphd/29/
END:VEVENT
END:VCALENDAR