Dynamical Systems and Analysis Seminar - Yongsheng Jia
| Dates: | 11 November 2024 |
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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: Yongsheng Jia (University of Manchester)
Title: Quasimorphisms on the group of area-preserving homeomorphisms on S^2
Abstract: In topological dynamics, the group of orientation-preserving homeomorphisms on the circle has been widely studied. Started by Poincare, people tried to look at the rotation number, which is a map from the group of orientation-preserving homeomorphisms on the circle to the real numbers. It is actually an example of a quasimorphism, which is almost a homomorphism (up to a uniformly bounded error). In this talk, I will focus on how to construct quasimorphisms on the group of area-preserving homeomorphisms on S^2, through a geometric group theoretical point of view, as well some applications to study the large-scale geometry of this group. This is the joint work with my supervisor, Richard Webb.
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
