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SUMMARY:Ariel Pacetti (Universidad Nacional de Córdoba)
DTSTART:20201216T123000Z
DTEND:20201216T133000Z
DTSTAMP:20260418T095837Z
UID:NTRV/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTRV/4/">On 
 the number of Galois orbits of newforms</a>\nby Ariel Pacetti (Universidad
  Nacional de Córdoba) as part of Number Theory and Representations in Val
 paraiso\n\n\nAbstract\nA conjecture of Maeda states that all newforms of l
 evel $1$ and weight $k \\ge 16$ are Galois conjugate. This striking observ
 ation has very deep implications in the study of Galois representations an
 d until now stays as a completely open problem. A natural question is to u
 nderstand what happens when we move from level $1$ to modular forms of lev
 el $\\Gamma_0(N)$\, with $N > 1$. In this talk we will present a list of i
 nvariants of Galois orbits of newforms of level $N$\, giving a lower bound
  for the number of Galois orbits (when $k$ is large enough). It is a natur
 al question to understand whether such a lower bound is attached (a questi
 on related to Maeda's conjecture).\n
LOCATION:https://researchseminars.org/talk/NTRV/4/
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