报告题目: Geometric invariants of rational functions
报告人：Michael Zieve 教授（University of Michigan)
摘要: The two main geometric invariants of a complex rational function are its monodromy group and ramification type. I will explain the progress made in the past 125 years towards determining all possibilities for these invariants, including contributions by Hurwitz, Zariski, Thom, Guralnick, Thompson, and Aschbacher. I will also present applications to number theory, analysis, topology, and dynamics.