Speaker: Samir Siksek (Warwick) <br>
Time/Location: Wednesday, 15 October, 2pm in B0.13 <br>

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Title: "Chabauty for symmetric powers of curves" <br>

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Abstract: Chabauty is a classical method for computing the rational points
of curves of higher genus. In this talk, we explain an adaptation of
Chabauty which allows us in many cases to compute all rational points on
the d-th symmetric power of a curve provided the rank of the Mordell-Weil
group of the Jacobian is at most g-d (where g is the genus). We illustrate
this by giving two examples of genus 3, one hyperelliptic and the other
plane quartic.