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SUMMARY:Noah Arbesfeld (Imperial College London)
DTSTART:20220303T195000Z
DTEND:20220303T205000Z
DTSTAMP:20260423T005749Z
UID:GPRTatNU/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/46/
 ">Descendent series for Hilbert schemes of points on surfaces</a>\nby Noah
  Arbesfeld (Imperial College London) as part of Geometry\, Physics\, and R
 epresentation Theory Seminar\n\n\nAbstract\nStructure often emerges from H
 ilbert schemes of points on surfaces when the underlying surface is fixed 
 but the number of points parametrized is allowed to vary. One example of s
 uch structure comes from integrals of tautological bundles\, which appear 
 in physical and geometric computations. When compiled into generating seri
 es\, these integrals display interesting functional properties. \n\nI will
  focus on the example of K-theoretic descendent series\, certain series fo
 rmed from holomorphic Euler characteristics of tautological bundles. Namel
 y\, I will explain how to use a Macdonald polynomial symmetry of Mellit to
  deduce that the K-theoretic descendent series are expansions of rational 
 functions.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/46/
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