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SUMMARY:Local and global branching of solutions of differential equations 
 - Rod Halburd (University College London)
DTSTART:20190913T103000Z
DTEND:20190913T113000Z
UID:TALK129556@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We will consider differential equations with movable branch po
 ints in the complex domain.&nbsp\; We will describe families of equations 
 for which we can prove that the only movable singularities of solutions ar
 e algebraic.&nbsp\; In general the global structure of these solutions is 
 very complicated\, despite the fact that locally all branching is finite.&
 nbsp\; We will show how to determine all equations within particular famil
 ies for which the solutions are globally finitely branched.&nbsp\; These e
 quations are integrable and can be mapped to equations with the Painlev\\&
 #39\;e property.
LOCATION:Seminar Room 1\, Newton Institute
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