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SUMMARY:Jack Thorne (University of Cambridge)
DTSTART:20221026T150000Z
DTEND:20221026T160000Z
DTSTAMP:20260418T064432Z
UID:LNTS/83
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/83/">Sy
 mmetric power functoriality for Hilbert modular forms</a>\nby Jack Thorne 
 (University of Cambridge) as part of London number theory seminar\n\nLectu
 re held in Huxley 139\, Imperial.\n\nAbstract\nSymmetric power functoriali
 ty is one of the basic cases of Langlands' functoriality conjectures and i
 s the route to the proof of the Sato-Tate conjecture (concerning the distr
 ibution of the modulo $p$ point counts of an elliptic curve over $\\mathbb
 {Q}$\, as the prime $p$ varies).\n\nI will discuss the proof of the existe
 nce of the symmetric power liftings of Hilbert modular forms of regular we
 ight. This is joint work with James Newton.\n
LOCATION:https://researchseminars.org/talk/LNTS/83/
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