Dynamical Systems and Analysis Seminar - Laurent Bartholdi
| Dates: | 6 October 2025 |
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| Times: | 14:00 - 15:00 |
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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: Laurent Bartholdi (CNRS Lyon)
Title: Hyperbolic correspondences
Abstract: In joint work with Dima Dudko and Kevin Pilgrim, we consider certain correspondences on a Riemann surface, and show that they admit a weak form of hyperbolicity: su?iciently long loops get shorter under lifting at a fixed point and closing. This applies in particular to the correspondences induced on Moduli space studied by Thurston, and lets us deduce: for any rational map on Cp with 4 post-critical points, there is a finite invariant collection of isotopy classes of curves into which every curve is attracted under repeated lifting. I will explain the theory behind all this: an encoding of maps and correspondences by an algebraic gadget called a "biset": a set with two commuting group actions.
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
