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X-WR-CALNAME:LMNO · Laboratoire de mathématiques Nicolas Oresme
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X-WR-CALDESC:Évènements pour LMNO · Laboratoire de mathématiques Nicolas Oresme
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DTSTART;TZID=Europe/Paris:20231013T140000
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DTSTAMP:20260413T030245
CREATED:20231120T085127Z
LAST-MODIFIED:20231120T085128Z
UID:109-1697205600-1697209200@lmno.unicaen.fr
SUMMARY:p-adic adjoint L-functions for Hilbert modular forms
DESCRIPTION:Exposé dans le cadre du séminaire de théorie des nombres \n\n\n\nOrateur : Baskar Balasubramanyam (IISER Pune\, Inde) \n\n\n\nLet F be a totally real field. Let π be a cuspidal cohomological automorphic representation for GL2/F. Let L(s\,Ad0\,π) denote the adjoint L-function associated to π. The special values of this L-function and its relation to congruence primes have been studied by Hida\, Ghate and Dimitrov. Let p be an integer prime.  In this talk\, I will discuss the construction of a p-adic  adjoint L-function in neighbourhoods of very decent points of the Hilbert eigenvariety.  As a consequence\, we relate the ramification locus of this eigenvariety to the zero set of the p-adic L-functions. This was first established by Kim when F=Q. We follow Bellaiche’s description of Kim’s method\, generalizing it to arbitrary totally real number fields. This is joint work with John Bergdall and Matteo Longo.
URL:https://lmno.unicaen.fr/evenement/p-adic-adjoint-l-functions-for-hilbert-modular-forms/
LOCATION:Caen · Campus 2 · Sciences 3 · Salle S3-247\, UFR des Sciences\, Sciences 3\, 6 Boulevard Maréchal Juin\, Caen\, 14000\, France
CATEGORIES:Théorie des nombres
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