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SUMMARY:Junliang Shen (MIT)
DTSTART:20200618T120000Z
DTEND:20200618T140000Z
DTSTAMP:20260423T041353Z
UID:AGNTISTA/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/8/"
 >On the topology of Hitchin fibrations</a>\nby Junliang Shen (MIT) as part
  of Algebraic Geometry and Number Theory seminar - ISTA\n\n\nAbstract\nThe
  topology of the Hitchin fibrations plays crucial role in geometry\, math 
 physics\, and representation theory. In this talk\, we will discuss two qu
 estions arised naturally in the study of Hitchin fibrations in view of the
  P=W conjecture: (a) How to locate the tautological classes in the pervers
 e filtration? (b) Is the perverse filtration multiplicative for Hitchin fi
 brations? \nI will explain how connnections to the geometry of some specia
 l algebraic varieties (Hilbert schemes\, abelian surfaces\, hyper-Kahler m
 anifolds)  lead to progress to answering these questions.\nBased on joint 
 work with Mark de Cataldo\, Davesh Maulik\, Qizheng Yin\, Zili Zhang.\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/8/
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