Event time:

Tuesday, April 25, 2006 - 12:30pm to Monday, April 24, 2006 - 8:00pm

Location:

215 LOM

Speaker:

Dierk Schleicher

Speaker affiliation:

International University Bremen

Event description:

One of the most important theorems in complex dynamics is

Thurston’s characterization theorem of rational maps, which gives a

precise criterion whether postcritically finite (topological)

branched covers of the 2-sphere are realized as rational mappings; if

not, there is a well-defined topological-combinatorial obstruction.

We extend this theorem into the world of transcendental mappings, by

proving an analogous theorem on exponential maps. The proof uses a

limit theorem of quadratic differentials on Riemann surfaces which

might be of interest in its own right.

Special note:

Note date and room!