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SUMMARY:Chandrashekhar Khare
DTSTART:20200608T160000Z
DTEND:20200608T170000Z
DTSTAMP:20260423T021411Z
UID:UNYONTC/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UNYONTC/1/">
 Serre-type conjectures for projective representations</a>\nby Chandrashekh
 ar Khare as part of Upstate New York Online Number Theory Colloquium\n\n\n
 Abstract\nWe consider automorphy of many representations  of the form $\\b
 ar \\rho:G_K \\rightarrow PGL_2(k)$ with $K$ a CM field and $k=F_3\,F_5$. 
 In particular we prove (under some mild conditions) that  for $F$ totally 
 real\, a surjective representation  $\\bar \\rho:G_F \\rightarrow PGL_2(F_
 5)$ with totally odd sign character  arises from a Hilbert modular form of
  weight $(2\,\\ldots\, 2)$. This is joint work with Patrick Allen and Jack
  Thorne.\n
LOCATION:https://researchseminars.org/talk/UNYONTC/1/
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