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SUMMARY:Congruences and the Galois representations of classical cusp forms
  [MPIM]
DTSTART:20250311T133000Z
DTEND:20250311T143000Z
DTSTAMP:20260416T073700Z
UID:indico-event-270@math-events.uni-bonn.de
DESCRIPTION:Speakers: Michael Daas (MPIM)\n\nNumber Theory Lunch Seminar\n
 Modular forms are central to modern number theory for many reasons\, one o
 f which being that they are a rich source of 2-dimensional Galois represen
 tations. But what information about the modular form is contained in the G
 alois representation? And how does one extract this information\, for exam
 ple about the Fourier coefficients of f?In this expository talk\, we will 
 explore under what conditions the p-th Fourier coefficient of a classical 
 normalised eigen cusp form f vanishing modulo some fixed prime ell is a co
 ngruence condition on the prime p\, illustrating how to analyse and work w
 ith these kinds of Galois representations. This talk will focus on example
 s and will assume little background knowledge\, so students and researcher
 s from various mathematical disciplines are warmly invited to attend. \n\
 nhttps://math-events.uni-bonn.de/event/270/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/270/
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