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4:00 pm Wednesday, January 21, 2009 Geometry-Analysis Seminar: Hyperbolic Dynamics and Properties of the Trace Mapby
Anton Gorodetski (University of California at Irvine) in HB 227- By trace map we mean the following polynomial map of R^3: T(x,y,z)=(2xy-z,x,y). Despite its simple form, it is related to complicated mathematical objects such as character varieties of some surfaces, Painlev\'e sixth equation, and discrete Schr\"odinger operator with Fibonacci potential. We use techniques of uniformly hyperbolic and normally hyperbolic dynamics to get new results on the dynamics of the trace map that have applications in spectral theory. This is joint work with David Damanik.
Submitted by damanik@rice.edu |