Pure Maths Colloquium: Correspondence deformations of the modular group
31 January 2011 17:15 in CM221
The world of iterated holomorphic correspondences on the Riemann sphere - multivalued functions defined by polynomial equations - is an unfamiliar mathematical environment in which Kleinian groups can be "mated" with rational maps or deformed into them. But classical techniques of conformal dynamics can still be applied to elucidate their behaviour. We describe various examples and examine a particular family of correspondences in which the modular group PSL(2,Z) is deformed into a quadratic map.
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