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SUMMARY:Construction of the Global Parametrix for the Kissing Polynomials 
 - Andrew Celsus\, University of Cambridge
DTSTART:20190306T150000Z
DTEND:20190306T160000Z
UID:TALK121243@talks.cam.ac.uk
CONTACT:Georg Maierhofer
DESCRIPTION:When trying to implement the Deift-Zhou method of nonlinear st
 eepest descent to recover uniform asymptotics of orthogonal polynomials\, 
 one needs to construct solutions to a model Riemann-Hilbert problem (RHP).
  The solution to this model problem is known as the global parametrix. Typ
 ically\, these model RHPs are of a standard form\, and the global parametr
 ix can be constructed with the use of theta functions on a certain Riemann
  surface. In the case when one is dealing with orthogonality in the comple
 x plane and the limiting distribution of zeros is supported on multiple ar
 cs\, the associated model RHP is not of this standard form\, and as such\,
  new methods are needed to construct solutions to this problem. The goal o
 f this talk is to outline the construction of the global parametrix which 
 arises when one is trying to study asymptotics of a family of complex poly
 nomials known as the Kissing polynomials. This is joint work with Guilherm
 e Silva of the University of Michigan.
LOCATION:MR14\, Centre for Mathematical Sciences
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