Vendredi 27 Mai
Heure: 
10:30  12:00 
Lieu: 
Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13 
Résumé: 
Géométrie Arithmétique et Motivique  [annulé] Supercuspidal mod p representations of GL_2(F), beyond the generic unramified case  
Description: 
Michael ScheinLet F / Q_p be a padic field.&nbsp; In contrast to the situation for complex representations, no classification of the irreducible supercuspidal mod p representations of GL_n(F) is known, except in the case GL_2(Q_p).&nbsp; If F / Q_p is unramified and r is a generic irreducible twodimensional mod p representation of the absolute Galois group of F, then nearly 15 years ago Breuil and Paskunas gave a beautiful construction of an infinite family of diagrams giving rise to supercuspidal mod p representations of GL_2(F) with GL_2(O_F)socle determined by Serre’s modularity conjecture for r.&nbsp; While their construction is not exhaustive, various localglobal compatibility results obtained by a number of mathematicians in the intervening years indicate that it is sufficiently general to capture the mod p local Langlands correspondence for generic Galois representations. 

