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Durham University

Research & business

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.


 

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Events for 30 April 2020

Emilio Musso : Cauchy-Riemann Geometry of Legendrian Curves in S^3

1:05pm, the cloud. The talk will be broadcast via Zoom.

Let S^3 be the unit 3-sphere with its standard Cauchy–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.

Contact mark.a.powell@durham.ac.uk, andrew.lobb@durham.ac.uk, wilhelm.klingenberg@durham.ac.uk, fernando.galaz-garcia@durham.ac.uk for more information about this event.


Dr Elizabeth Powell CANCELLED: CANCELLED Salvation and Loving Regard

5:00pm, Pemberton Lecture Room PG20

Contact ccs.admin@durham.ac.uk for more information about this event.