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Rational maps between curves: injectivity, surjectivity, decomposition, and iteration
Algebra & Discrete Mathematics| Speaker: | Michael Zieve, Rutgers University |
| Location: | 3106 MSB |
| Start time: | Fri, Jan 11 2008, 2:10PM |
Description
I will discuss various results about rational maps between
curves. For instance, if the ground field is finite but large,
then such a map is injective on rational points precisely
when it is surjective. Other topics include classifying
the maps with certain monodromy groups,
and determining the pairs of complex polynomial maps
having orbits with infinite intersection.