Boundary of Drinfeld's spaces and p-adic Langlands correspondance.

par Benjamin Fleuriault

jeudi 30 avr. 2026, 14:00 → 15:00 Europe/Paris

M7-411 (UMPA)

An important feature in the Langlands correspondance is its realization in the geometry of certain geometric objects, eg modular curves.
In the local case, for supercuspidal representations of GL2(Q_p), the relevant object is the Drinfeld tower. This tower is a local object, and its de Rham complex enables one to "read" (in a precise way) the Langlands correspondance (for p-adic coefficients).
I will explain how to define the "boundary" of such a space, and how this construction relates to an arithmetic object : the differential equation attached to a Galois representation.