Workshop on Arithmetic of Hyperelliptic Curves | (smr 3144)
Starts 4 Sep 2017
Ends 8 Sep 2017
Central European Time
Giambiagi Lecture Hall (AGH)
I - 34151 Trieste (Italy)
Hyperelliptic curves are a fundamental class of polynomial equations, that are rapidly becoming a major topic in number theory. Demands for the theory are coming both from within pure mathematics (such as the pioneering work or Bhargava and his collaborators, and the Langlands programme, which needs a supply of high-dimensional Galois representations), as well as from areas bordering to theoretical physics (via hypergeometric motives) and from cryptography, where one of the main methods for modern data encryption is based on hyperelliptic curves.
The workshop will focus on the most recent developments in the arithmetic of hyperelliptic curves, including the above mentioned four topics, point counting techniques, distribution of locally soluble curves, hypergeometric motives, generalisations of Chabauty's method, Selmer ranks of Jacobians, etc.