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SUMMARY:Paolo Rossi (University of Padua)
DTSTART:20220401T080000Z
DTEND:20220401T090000Z
DTSTAMP:20260423T024558Z
UID:CGP-MP/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CGP-MP/27/">
 Moduli spaces of residueless meromorphic differentials and the KP hierarch
 y</a>\nby Paolo Rossi (University of Padua) as part of IBS-CGP Mathematica
 l Physics Seminar\n\n\nAbstract\nI'll present a recent joint work with A. 
 Buryak and D. Zvonkine\, where we study the moduli spaces of residueless m
 eromorphic differentials\, i.e.\, the closures\, in the moduli space of st
 able curves\, of the loci of smooth curves whose marked points are the zer
 os and poles of prescribed orders of a meromorphic differential with vanis
 hing residues. Our main result is that intersection theory on these spaces
  is controlled by an integrable system containing the celebrated Kadomtsev
 -Petviashvili (KP) hierarchy as a reduction to the case of differentials w
 ith exactly two zeros and any number of poles. This fact has several deep 
 consequences and in particular it relates the aforementioned moduli spaces
  with Hurwitz theory\, representation theory of sl2(C)\, integrability and
  a conjecture of Schmitt and Zvonkine on the r=0 limit of Witten's r-spin 
 classes.\n
LOCATION:https://researchseminars.org/talk/CGP-MP/27/
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