"On some modulo p
Langlands correspondence for GL_2"
(IHES and Columbia)
Fix p a prime number. The local Langlands correspondence for GL_n is a
between some n-dimensional Galois representations and some
representations of GL_n(F)
over the complex numbers where F is a local field such as the
field of p-adic numbers Qp.
Since recently, people have started studying representations of
such groups over fields
of characteristic p. It turns out that essentially all the methods
and results of the complex
case collapse and new phenomena emerge. I will try to explain (part of)
what is known for GL_2.
September 26th, Wednesday, 5:00-6:00 pm
will be served at 4:30pm