Speaker : Professor Jan-Li Lin (University of Notre Dame)
Title : Dynamical and arithmetic degrees for rational maps
Time : 2012-12-26 (Wed) 15:00 - 16:00
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: Let f be a rational mapping on complex projective space. The complexity of f as a dynamical system is measured by the dynamical degrees. I will define the dynamical degrees and show how to compute them in certain cases. Recently, for maps defined over the algebraic numbers, Silverman defined numerical invariants such as the arithmetic degree and canonical height. Arithmetic degree measures the local arithmetic complexity of an orbit. I will also introduce the arithmetic degree and canonical height, and present various results and conjectures along this direction.