School of Mathematical Sciences
Monday, May 4, 2015
Schreiber 006, 12:15
University of Michigan, Ann Arbor
Rational functions and their monodromy
Abstract: A fundamental
invariant associated to every rational function is its monodromy group.
There has been an extensive accumulating work towards determining the
complex rational functions with a specified monodromy group. We shall
present its applications to problems concerning values of rational
functions over finite fields, Hilbert irreducibility, Nevanlinna
theory, and Mazur's torsion theorem. No prior knowledge on these
subjects is required.
Coffee will be served at 12:00 before the lecture
at Schreiber building 006