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SUMMARY:Clifton Cunningham (University of Calgary)
DTSTART:20200506T203000Z
DTEND:20200506T213000Z
DTSTAMP:20260423T021043Z
UID:MITLie/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/3/">A
 rthur packets for G(2) and perverse sheaves on cubics</a>\nby Clifton Cunn
 ingham (University of Calgary) as part of MIT Lie groups seminar\n\n\nAbst
 ract\nThis talk demonstrates a non-invasive procedure that calculates Arth
 ur packets\, their associated stable distributions and Langlands-Shelstad 
 transfers\, without direct use of endoscopy\, using certain unipotent repr
 esentations of the split p-adic exceptional group G(2) as examples. In the
  case at hand\, this procedure relies on a study of the category of GL(2)-
 equivariant perverse sheaves on the moduli space of homogeneous cubics in 
 two variables\, which is perhaps of independent interest. Specifically\, w
 e find the Fourier transform and the microlocalization of the simple objec
 ts in this category\, and convert that into information about the Aubert i
 nvolution and stable distributions attached to Arthur packets. This is joi
 nt work with Andrew Fiori and Qing Zhang\, based on earlier joint work wit
 h Andrew Fiori\, Ahmed Moussaoui\, James Mracek and Bin Xu\, which is base
 d on earlier work by David Vogan\, sadly\, not joint.\n
LOCATION:https://researchseminars.org/talk/MITLie/3/
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