[Binghamton Geometry/Topology Seminar] Oct 6

[Dmytro Savchuk]

                   BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR

*Date:*  Thursday, Oct 6, 2011
*Time:*  2:50-3:50pm
*Place:*  Library North 2205 followed by coffee/tea in the Anderson Reading
Room.

*Speaker:* Andrey Gogolev (Binghamton University)
*Title:* Moduli of smooth conjugacy of Anosov systems**
*
Abstract:*  Let M be a smooth compact Riemannian manifold. An Anosov
diffeomorphism is a diffeomorphism from M to itself such that the tangent
bundle of M splits into an invariant sum of the stable subbundle and the
unstable subbundle. The diffeomorphism contracts the stable subbundle and
expands the unstable subbundle exponentially fast. Anosov diffeomorphisms
form a C^1 open set in Diff(M) and structural stability asserts that two
Anosov diffeomorphisms which are C^1 close are conjugate. The conjugacy is a
homeomorphism that typically fails to be C^1. In this talk we will discuss
the structure of smooth conjugacy classes of Anosov diffeomorphisms.
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