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UID:20260623T192517EDT-0654vUi6bH@132.216.98.100
DTSTAMP:20260623T232517Z
DESCRIPTION:The real Wronski map and the Murnaghan-Nakayama rule.\n\nThe Wr
 onski problem is a family of Schubert problems\, defined with respect to f
 lags osculating the rational normal curve. This family has attracted inten
 sive interest in the last thirty years\, thanks to a series of conjectures
  initiated by Boris and Michael Shapiro\, later proven by Mukhin-Tarasov-V
 archenko and generalized in many directions. Broadly\, these results uncov
 er rich topological structure\, built out of Young tableaux and familiar c
 ombinatorial rules\, in the Wronski map over the real numbers. Most prior 
 work has focused on the case where the osculation points are all real. In 
 this case\, the Wronski map is described by standard tableaux. I will desc
 ribe a recent extension (joint with Kevin Purbhoo) that allows the osculat
 ion points to occur in complex conjugate pairs. We describe certain fibers
  of the map using domino tableaux\, and we relate its topological degree t
 o the Murnaghan-Nakayama rule for symmetric group characters. Our result l
 eads to a new\, topological proof of the original Shapiro-Shapiro conjectu
 re\, and suggests some intriguing new topological-combinatorial questions 
 to pursue.\n\n \n
DTSTART:20190801T150000Z
DTEND:20190801T160000Z
LOCATION:Room PK-4323\, CA\, Pavillon President-Kennedy
SUMMARY:Jake Levinson\, Université de Washington
URL:/mathstat/channels/event/jake-levinson-universite-
 de-washington-298864
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