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Complex and Arithmetic Dynamics of Monomial Maps

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Jan-Li Lin, Saint Louis, MO

What
  • Algebra Seminar
When Tue, Feb 20, 2018
from 11:00 AM to 11:50 AM
Where Ritter Hall 106
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For a rational self-map on a projective variety over the field of algebraic numbers, one can try to study its dynamics (i.e. behavior under iterates) from a complex geometric point of view, or from an arithmetic point of view. Each of this two viewpoints contains interesting results and difficult conjectures/problems. Moreover, the two viewpoints are closely related. I will briefly introduce the two viewpoints and their relations. I will also talk about my results (on both sides) for monomial maps, a family of maps that is more or less well understood in higher dimension.

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