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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Local and global branching of solutions of differe
ntial equations - Rod Halburd (University College
London)
DTSTART;TZID=Europe/London:20190913T113000
DTEND;TZID=Europe/London:20190913T123000
UID:TALK129556AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/129556
DESCRIPTION:We will consider differential equations with movab
le branch points in the complex domain. \; We
will describe families of equations for which we c
an prove that the only movable singularities of so
lutions are algebraic. \; In general the globa
l structure of these solutions is very complicated
\, despite the fact that locally all branching is
finite. \; We will show how to determine all e
quations within particular families for which the
solutions are globally finitely branched. \; T
hese equations are integrable and can be mapped to
equations with the Painlev\\'\;e property.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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