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SUMMARY:On the Algebraic Solutions of the Painlev\\'e-III (D$_7$) Equation
  - Peter Miller (University of Michigan)
DTSTART:20221011T140000Z
DTEND:20221011T160000Z
UID:TALK183683@talks.cam.ac.uk
DESCRIPTION:The D$_7$ degeneration of the Painlev\\'e-III equation has\, f
 or certain integral parameter values\, a unique algebraic&nbsp\;solution t
 hat is a rational function of the cube root of the independent variable. &
 nbsp\;This talk will describe some properties of&nbsp\;these solutions\, d
 evelop a Riemann-Hilbert representation of them using the isomonodromy met
 hod\, and explain how&nbsp\;asymptotic properties of the solutions\, inclu
 ding an approximation by Weierstra\\ss\\ elliptic functions\, are obtained
  from that&nbsp\;representation. &nbsp\;This is joint work with Robert Buc
 kingham.
LOCATION:Seminar Room 2\, Newton Institute
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