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SUMMARY:James Newton (King's College London)
DTSTART:20201126T140000Z
DTEND:20201126T150000Z
DTSTAMP:20260423T040227Z
UID:UCDANT/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCDANT/4/">S
 ymmetric power functoriality for modular forms</a>\nby James Newton (King'
 s College London) as part of Dublin Algebra and Number Theory Seminar\n\n\
 nAbstract\nOne prediction of the Langlands program is that all 'reasonable
 ' L-functions should arise from automorphic forms. For example\, the modul
 arity theorem of Wiles\, Breuil\, Conrad\, Diamond and Taylor identifies t
 he Hasse-Weil L-function of an elliptic curve defined over the rationals w
 ith the L-function of a modular form. More generally\, the symmetric power
  L-functions of elliptic curves should be the L-functions of higher rank a
 utomorphic forms. This prediction is closely related to the arithmetic of 
 the elliptic curve (e.g. the Sato-Tate conjecture). I will discuss this ci
 rcle of ideas\, including some recent work with Jack Thorne in which we pr
 ove automorphy of these symmetric power L-functions.\n
LOCATION:https://researchseminars.org/talk/UCDANT/4/
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