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SUMMARY:Harrison Chen (Academia Sinica)
DTSTART:20230224T070000Z
DTEND:20230224T083000Z
DTSTAMP:20260422T155204Z
UID:HKUST-AG/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/1/"
 >Circle actions\, coherent Springer theory and classical Springer theory</
 a>\nby Harrison Chen (Academia Sinica) as part of Algebra and Geometry Sem
 inar @ HKUST\n\nLecture held in Room 5564.\n\nAbstract\nCoherent Springer 
 theory is related to the representation theory of p-adic groups\, and invo
 lves the study of certain coherent sheaves on moduli stacks of Langlands p
 arameters\, whose unipotent part is the derived loop space of the equivari
 ant nilpotent cone.  On the other hand\, classical Springer theory is rela
 ted to the representation of finite groups of Lie type\, and involves the 
 study of certain constructible sheaves on the equivariant nilpotent cone i
 tself.  Passing between the two involves equivariant localization\, imposi
 tion of circle equivariance\, and a Koszul duality.  In the first part of 
 this talk\, we will give a gentle introduction to circle actions with many
  examples.  In the second part\, we will describe how this provides the me
 chanism for passing between coherent and constructible sheaves.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/1/
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