分野別セミナー

We will first outline a conjectural formalism
of a p-adic Langlands correspondence
(following work of Breuil and Breuil/Schneider).
Then we will sketch constructions of representations
of GL(2) and of quaternion division algebras D using
rigid analytic moduli spaces (the so-called Drinfeld and
Lubin-Tate towers).
In the second part of the talk
I will try to explain why homotopy theorists are
interested in p-adic representations of D* (called Morava
stabilizer groups in stable homotopy theory).
We will
finish by raising some questions about possible
links between the two theories (mentioned in the title).