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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 5 December 2017

### 'Hell, Heaven and Hope. A journey through life and the afterlife with Dante', Exhibition curated by Dr Annalisa Cipollone

9:00am to 11:55pm, Palace Green Library, Durham University

### Adelina Manzateanu: Rational curves on cubic hypersurfaces over $\mathbb{F}_q$

2:05pm, CM301

Using a version of the Hardy -- Littlewood circle method over
$\mathbb{F}_q(t)$, one can count $\mathbb{F}_q(t)$-points of bounded degree
on a smooth cubic hypersurface $X \subset \mathbb{P}^{n-1}_{\mathbb{F}_q}$.
Moreover, there is a correspondence between the number of
$\mathbb{F}_q(t)$-points of bounded height and the number of
$\mathbb{F}_q$-points on the moduli space
$\text{Mor}d(\mathbb{P}^1{\mathbb{F}_q}, X)$, which parametrises the
rational maps of degree $d$ on $X$. In this talk I will give an asymptotic
formula for the number of rational curves defined over $\mathbb{F}_q$ on
$X$ passing through two fixed points, one of which does not belong to the
Hessian, for $n \geq 10$, and $q$ and $d$ large enough. Further, I will
explain how to deduce results regarding the geometry of the space of such
curves.

### IAS Fellow's Public Lecture - What is and to what end does one study Astronoetics? Explorations of Space after the Sputnik (Arendt, Blumenberg, Levinas)

5:30pm to 6:30pm, Senate Suite, University College, Dr Jörg Kreienbrock (Northwestern University)