Dynamical Systems and Analysis Seminar - Konstantin Bogdanov
| Dates: | 27 April 2026 |
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| Times: | 13:00 - 14:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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Speaker: Konstantin Bogdanov (University of Manchester)
Title: Infinite-dimensional Thurston theory in holomorphic dynamics
Abstract: Thurston's Topological Characterization of Rational Functions is one of the main tools in complex dynamics. It provides a criterion of when a topological model of a rational function with finite critical orbits is realized by a rational map. The standard proof involves a study of a natural dynamical system on the associated Teichmüller space.
Similar dynamical systems can also be defined for infinite critical orbits and more general holomorphic functions (e.g. entire transcendental). However, in this case the Teichmüller space is infinite-dimensional hence more complicated for analysis. In the talk, I will try to give an accessible introduction into the subject and discuss already existing generalizations of Thurston's theorem in the infinite-dimensional setting.
Room: Frank Adams 1
Further information: https://personalpages.manchester.ac.uk/staff/yotam.smilansky/dynamics_analysis
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Frank Adams 1
Alan Turing Building
Manchester
