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SUMMARY:Reinier Kramer (University of Alberta)
DTSTART:20220923T080000Z
DTEND:20220923T090000Z
DTSTAMP:20260423T024533Z
UID:CGP-MP/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CGP-MP/31/">
 The spin Gromov-Witten/Hurwitz correspondence</a>\nby Reinier Kramer (Univ
 ersity of Alberta) as part of IBS-CGP Mathematical Physics Seminar\n\n\nAb
 stract\nIn 2006\, Okounkov and Pandharipande established a correspondence 
 between two theories of counting maps between curves. Gromov-Witten theory
  constructs a moduli space of stable maps and considers intersection numbe
 rs of natural classes on this space. Hurwitz theory counts the number of m
 aps with given ramification data over all points in the target. The Gromov
 -Witten theory of a surface with positive geometric genus can be localised
  to a curve in that surface\, and this obtains a spin structure\, leading 
 to spin Gromov-Witten theory of curves. The Hurwitz side also has a natura
 l spin analogue\, and Lee conjectured these theories correspond in a simil
 ar manner. In this talk\, I will introduce the notions of spin Gromov-Witt
 en theory and spin Hurwitz theory and give an outline of the spin Gromov-W
 itten/Hurwitz correspondence for the projective line. I will also explain 
 relations to the (small) 2BKP integrable hierarchy\, which is the analogue
  of the 2D Toda lattice hierarchy in the non-spin case. This talk is based
  on joint work with Alessandro Giacchetto\, Danilo Lewański\, and Adrien 
 Sauvaget.\n
LOCATION:https://researchseminars.org/talk/CGP-MP/31/
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