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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 17 June 2020

Katie Gittins: Courant-sharp Robin eigenvalues for the square

11:00am, zoom

Let $\Omega$ be a planar, bounded, connected, open set with Lipschitz boundary. Let $u$ be an eigenfunction of the Laplacian on $\Omega$ with either a Dirichlet, Neumann or Robin boundary condition. We are interested in the number of nodal domains of $u$.

If an eigenfunction $u$ associated with the $k$--th eigenvalue has exactly $k$ nodal domains, then we call it a Courant-sharp eigenfunction. In this case, we call the corresponding eigenvalue Courant-sharp.

The Courant-sharp Dirichlet, respectively Neumann, eigenvalues of the square are known due to Pleijel, B\'erard--Helffer, respectively Helffer--Persson-Sundqvist.

We discuss whether the Robin eigenvalues of the square are Courant-sharp.

This is based on joint work with B. Helffer (Universit\'e de Nantes).

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DEI Online Seminar Series: Wicked Problems - Traversing the Unknown Unknowns

1:00pm to 2:00pm, Via Zoom, Professor Joanna Berry

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Research Seminar: Critical Thinking and the Ends of Education

3:00pm to 4:00pm, Professor David Bakhurst from Queens University, Ontario, Canada

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Canon Prof Mark D. Chapman: POSTPONED: Michael Ramsey Lecture: The Lambeth Conference of 1920 and the reinvention of Anglicanism

6:30pm, Prior's Hall, Durham Cathedral

This lecture has been postponed. Please check here for updates on the possibility of rescheduling in due course.

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