Thurston Theory: Connecting Geometry, Topology and Complex Dynamics
[HYBRID WORKSHOP] Connections Workshop: Complex Dynamics - from special families to natural generalizations in one and several variables February 02, 2022 - February 04, 2022
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Tags/Keywords
Thurston theory
mapping class groups
branched covers
Thurston Theory: Connecting Geometry, Topology And Complex Dynamics
Thurston proved that a non-Lattés branched cover of the sphere to itself is either equivalent to a rational map (that is: conjugate via a mapping class), or has a topological obstruction. The Nielsen–Thurston classification of mapping classes is an analogous theorem in low-dimensional topology. We unify these two theorems with a single proof, further connecting techniques from surface topology and complex dynamics. This is joint work with Jim Belk and Dan Margalit.
Thurston Theory: Connecting Geometry, Topology And Complex Dynamics
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