2016
Jun
02

# Number theory: Eran Asaf (HUJI) "Invariant norms in representations of GL_2(Q_p)"

12:00pm to 1:15pm

## Location:

Hebrew University, Givat Ram, Ross Building, room 63

A natural question is whether there exists a continuous p-adic analogue
for the classical local Langlands correspondence for GL_n(F) .
Namely, for a finite extension F of Q_p, we want to associate continuous p -adic representations of GL_n(F) to n-dimensional p-adic representations of the Weil group of F.
The particular case, where F=Q_p and n=2 , is now known. One of the main tools for establishing this correspondence was the existence of GL_2(Q_p)-invariant norms in certain representations of GL_2(Q_p).