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Symmetric Products Mappings in ℂ ℙ ᵏ

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Scott Kaschner, Butler University

What
  • Algebra Seminar
When Thu, Feb 11, 2016
from 02:10 PM to 03:00 PM
Where 225 Ritter Hall
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Abstract. This talk will outline properties of mappings of k-dimensional complex projective space,  ℂ ℙ k,  that are symmetric products of rational maps of  ℂ ℙ 1.  Besides describing this construction, I will demonstrate that these products can be used to construct nontrivial maps that are strongly post-critically finite.  These maps may also provide an example of an isolated Lattès map in the moduli space of degree  d  rational maps of  ℂ ℙ k.  I will describe the current state of this problem.  This is joint work with Thomas Gauthier (Université de Picardie Jules Verne) and Benjamin Hutz (SLU).

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