Seminar on Algebraic Geometry :Eigenvarieties for reductive groups

2014-11-27 10:00 - 2014-11-28 16:00
Faculty of Science Building #3 Room 210
Kentaro Nakamura (Hokkaido University)

Eigenvariety is a rigid analytic variety which parametrizes
certain p-adic automorphic forms (more precisely,
finite slope overconvergent automorphic representations)
of a reductive group $G$ over $Q$. After the pioneering
works of Hida, Coleman and Coleman-Mazur (elliptic modular case),
several constructions are known by many people.

In this talk, we explain Urban’s construction
of eigenvariety for a reductive group $G$ such that
the real points $G(R)$ has discrete series representations.