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SUMMARY:Weite Pi (Yale University)
DTSTART:20240412T190000Z
DTEND:20240412T200000Z
DTSTAMP:20260406T162135Z
UID:agstanford/132
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/1
 32/">Cohomology rings of the moduli of one-dimensional sheaves on the proj
 ective plane</a>\nby Weite Pi (Yale University) as part of Stanford algebr
 aic geometry seminar\n\nLecture held in 383-N.\n\nAbstract\nThe moduli spa
 ces of one-dimensional sheaves on the projective plane have been studied t
 hrough their connections to enumerative geometry and representation theory
 . In this talk\, I will explain a systematic approach to study their cohom
 ology rings\, using notably tautological relations of geometric origin. Ou
 r study leads to a conjecture that describes a highly nontrivial perverse 
 filtration (which carries important enumerative data) on the cohomology in
  terms of explicit ring generators. This can be viewed as an analogue of t
 he P=W conjecture in a compact and Fano setting. Based on joint work with 
 Y. Kononov\, W. Lim\, M. Moreira\, and J. Shen.\n
LOCATION:https://researchseminars.org/talk/agstanford/132/
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