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SUMMARY:Jenny Roberts (KCL)
DTSTART:20260310T140000Z
DTEND:20260310T150000Z
DTSTAMP:20260421T154042Z
UID:UEAPS/72
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/72/">N
 ewform Eisenstein congruences of local origin</a>\nby Jenny Roberts (KCL) 
 as part of ANTLR seminar\n\nLecture held in QUEENS 01.09.\n\nAbstract\nThe
  theory of Eisenstein congruences dates back to Ramanujan’s surprising d
 iscovery that the Fourier coefficients of the discriminant function are co
 ngruent to the 11th power divisor sum modulo 691. This observation can be 
 explained via the congruence of two modular forms of weight 12 and level 1
 \; the discriminant function and the Eisenstein series\, E_{12}. Eisenstei
 n congruences were later used by Ribet in his proof of the converse to Her
 brand's theorem. In this talk\, I will first discuss the steps Ribet used 
 in his proof and then compare these steps to work in my thesis on congruen
 ces between Eisenstein series and newforms of weight k > 2\, squarefree le
 vel and non-trivial character.\n
LOCATION:https://researchseminars.org/talk/UEAPS/72/
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