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SUMMARY:Intersection cohomology for the moduli of sheaves and Gopakumar-Va
 fa theory
DTSTART:20210511T160000
DTEND:20210511T173000
DTSTAMP:20260428T060045Z
UID:bf3018f3759509ebb0451c84e80cd9632164018594ec3173866f3ee4
CATEGORIES:Conferences - Seminars
DESCRIPTION:Junliang Shen (MIT)\nWe explore some surprising symmetries fo
 r intersection cohomology of certain moduli of 1-dimensional sheaves and
  moduli of Higgs bundles\, motivated by Gopakumar-Vafa theory concerni
 ng enumerative geometry for Calabi-Yau 3-folds. More precisely\, we show
  that\, for these moduli spaces\, the intersection cohomology is independ
 ent of the choice of the Euler characteristic. This confirms a conjecture 
 of Bousseau for P^2\, and proves a conjecture of Toda in the case of local
  toric Calabi-Yau 3-folds. In the proof\, a generalized version of Ngô's 
 support theorem refining the decomposition theorem plays a crucial role.
  Based on joint work with Davesh Maulik.
LOCATION:https://epfl.zoom.us/j/83413323881?pwd=V0ZHRS93RjdZWDVEYmxVUmlOMW
 FMUT09
STATUS:CONFIRMED
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