Speaker
Guizhen Cui
(Academy of Mathematics and Systems Science, Chinese Academy of Sciences)
Description
Consider the Riemann surfaces of a geometrically finite rational map. A repeated Dehn twist will produce a sequence of rational maps in its moduli space. We will prove that this sequence is convergent under certain condition. The proof involves iteration on Teichmuller spaces and a surgery perturbation which realize a parabolic implosion.
Primary author
Guizhen Cui
(Academy of Mathematics and Systems Science, Chinese Academy of Sciences)
