Abstract:
My first lecture was mostly concerned with the case of
curves where I explained a version of the Tate-Iwasawa method and
outlined how one can start to extend it to dimension 2. In the
second lecture we will consider in details some pieces of this
approach for surfaces. The exposition will be rather independent
from the previous talk. Firstly, we give a survey of the
representation theory for discrete finitely generated Heisenberg
groups (moduli spaces of infinite-dimensional representations,
characters as theta-functions, Mellin transform, Plancherel type
Theorem). Next, we introduce adelic Heisenberg groups on surfaces
and study their representation theory.
Series of lectures
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