Oct 23 – 25, 2017
Université d'Angers
Europe/Paris timezone

Parabolic implosion surgery and twist deformation of rational maps.

Not scheduled
55m
Université d'Angers

Université d'Angers

2 Boulevard Lavoisier 49000 Angers

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)

Presentation materials

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