Research lectures, seminars and events
The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but wish to enquire about attending one of the events please contact the organiser or host department.
|March 2020||May 2020|
Events for 30 April 2020
Let S^3 be the unit 3-sphere with its standard Cauchyâ€“Riemann (CR) structure. We will consider the CR geometry of Legendrian curves in S^3 using the local CR invariants of S^3 thought of as a 3-dimensional CR manifold. More specifically, the focus is on the lower-order cr-invariant variational problem for Legendrian curves in S^3 and on its closed critical curves. The Liouville integrability of such a variational problem will be considered. We discuss the admissible contact isotopy classes of closed critical curves with constant bending. Subsequently, we characterize closed critical curves with non-constant bending in terms of three numerical invariants. In addition, we analyze the geometrical meaning of the numerical invariants in terms of the cr-symmetries of closed critical curves and of the their linking numbers with the symmetry axes.
Revd Canon Dr Joanna Collicutt: * CANCELLED * â€˜Human kind cannot bear very much realityâ€™: the relationship between John Ruskinâ€™s aesthetic theory, spirituality, and mental health
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