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Research

# 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 23 February 2012

### Coloring H-Free Graphs

4:00pm to 5:00pm, E245, Jian Song

### Translation, Linguistics & Pedagogy Research Group: 'Translating hybridity: a case from the Peruvian Andes' by Professor Rosaleen Howard [Newcastle University]

5:15pm, A56, Elvet Riverside I, Durham University

An immersed minimal Lagrangian surface in the complex hyperbolic plane $CH^2$ inherits a conformal structure from the induced metric. Moreover, the components of the second fundamental form can be written in terms of a cubic differential $U$ which is holomorphic with respect to the conformal structure. The integrability condition for the conformal factor of the metric is an elliptic semilinear equation which is very similar to the Uhlenbeck's equation for minimal surfaces in $RH^3$. We discuss existence and non-uniqueness of the solutions to this equation on a compact Riemann surface $S$, the geometry of the immersion of the universal cover of $S$ in $CH^2$, and properties of an induced representation from the fundamental group $\pi_1S$ into $SU(2,1)$. This talk reflects two joint works, with Ian McIntosh, & with Zeno Huang and Marcello Lucia.