Conference - Effective moduli spaces and applications to cryptography

Rennes, from June 10th to June 13th, 2014
Contact: D. Lubicz
Organisation board: M. Bolognesi, D. Lubicz, C. Ritzenthaler

Moduli spaces are parameter spaces for mathematical objects equipped (or not) with extra structures. The cases of spaces classifying curves and abelian varieties have been widely studied in their theoretical aspects which entailed dramatic advances in arithmetic geometry. Nonetheless, more effective aspects for instance related to rationality questions or depending on the characteristic of the base field are less well understood. Certain field of applications require tools and algorithms to manipulate efficiently these moduli spaces. This is case for instance of public key cryptography since certain cryptosystems have public parameters which naturally live inside certain moduli spaces.

This conference aims at gathering specialists of moduli spaces of curves and abelian varieties, algorithmic and cryptography so as to explore the deep link and the possible interactions between theoretical and practical aspects of moduli spaces.



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