Dynamical Systems and Analysis Seminar - Valentina Disarlo
| Dates: | 16 November 2026 |
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| Times: | 14:00 - 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: Valentina Disarlo (University of Manchester)
Title: The geometry of the saddle connection graph
Abstract: For a half-translation surface, its saddle connection graph has saddle connections as vertices, and edges connecting pairs of non-crossing saddle connections. It can be seen as a subgraph of the arc graph of the underlying topological surface. In this talk, I will discuss both the fine and large-scale geometry of the saddle connection graph. We show that any isomorphism between two such graphs is induced by an affine diffeomorphism between the underlying translation surfaces. However, the situation is completely different when one considers the quasi-isometry type: all saddle connection graphs are quasi-isometric. We will also discuss a characterization of its Gromov boundary. This is based on joint work with Robert Tang, Huiping Pan, and Anja Randecker.
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
