

Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
November 14, 2017 15:00, Moscow, Steklov Mathematical Institute, room 540 (Gubkina 8)






Zetafunctions in dimension 1 and 2 (continuation)
A. N. Parshin^{} ^{} Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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Abstract:
My first lecture was mostly concerned with the case of
curves where I explained a version of the TateIwasawa 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 infinitedimensional representations,
characters as thetafunctions, Mellin transform, Plancherel type
Theorem). Next, we introduce adelic Heisenberg groups on surfaces
and study their representation theory.
Series of lectures

