|DATE||October 16 (Tue), 2018|
|INSTITUTE||Tokyo Institute of Technology|
|TITLE||On the quasiconformal equivalence of Riemann surfaces and dynamical Cantor sets|
In the theory of Teichm\"uller space of Riemann surfaces, we consider the set of Riemann surfaces which are quasiconformally equivalent. Here, we say that two Riemann surfaces are quasiconformally equivalent if there is a quasiconformal homeomorphism between them. Hence, at the first stage of the theory, we have to know a condition for Riemann surfaces to be quasiconformally equivalent.