Polynomials, branched covers, and trees
Becca Winarski (College of the Holy Cross)
Abstract: Thurston proved that a post-critically finite branched cover of the plane is either equivalent to a polynomial (that is: conjugate via a mapping class) or it has a topological obstruction. We use topological techniques – adapting tools used to study mapping class groups – to produce an algorithm that determines when a branched cover is equivalent to a polynomial. When it is, we determine which polynomial it is equivalent to.
This is joint work with Jim Belk, Justin Lanier, and Dan Margalit.
algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry
Audience: researchers in the topic
Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/
The talks start at 13:30. Talks are typically fifty minutes long, with ten minutes for questions.
| Organizers: | Saul Schleimer*, Robert Kropholler* |
| *contact for this listing |