[Turkmath:6548] Bogazici Matematik carsamba seminerleri - ilan ekte

[ferit.ozturk at boun.edu.tr]

Dynamics of Polynomial Automorphisms of C2


Turgay Bayraktar
Indiana University


Date	: Wednesday, July 29, 2009
Time	: 15:00
Place	: TB 250, Boðaziçi Üniversitesi

Abstract: In [FM] Friedland and Milnor classified polynomial automorphisms
of C2
 up to conjugation by a polynomial diffeomorphism of C2. It was proved that
 there are two classes. The mappings in the first class have relatively
simple
 dynamics, that is they have zero topological entropy. The second class
 contains compositions of finitely many complex Hénon maps. In this talk,
we
 will survey the results obtained by Bedford&Smillie and Fornaess&Sibony in the
 early nineties. Namely, given a polynomial automorphism in the second class
 there exist stable and unstable currents. These currents provide information
 about the dynamics of the map and allow us to construct an invariant measure
 which is mixing, the unique measure of maximal entropy and describing the
 distribution of the saddle periodic points. If the time allows we will mention
 some of the open problems in this area.


Tea and coffee will be served at 15:00
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