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SUMMARY:Sug Woo Shin (University of California\, Berkeley)
DTSTART:20201021T150000Z
DTEND:20201021T160000Z
DTSTAMP:20260423T024745Z
UID:hnts/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/10/">On
  GSpin(2n)-valued automorphic Galois representations</a>\nby Sug Woo Shin 
 (University of California\, Berkeley) as part of Heilbronn number theory s
 eminar\n\n\nAbstract\nI will present my joint work with Arno Kret\, where 
 we construct a GSpin($2n$)-valued $\\ell$-adic Galois representation attac
 hed to a cuspidal cohomological automorphic representation $\\pi$ of a sui
 table quasi-split form of GSO($2n$) over a totally real field\, under the 
 hypothesis that pi has a Steinberg component at a finite place. This uses 
 input from the cohomology of certain Shimura varieties for GSO($2n$)\; as 
 such we need to take a suitable form of GSO($2n$) depending on the parity 
 of $n$. (We take the split form if and only if $n$ is even.)\n
LOCATION:https://researchseminars.org/talk/hnts/10/
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