Event

Talk
On the logarithmic derivatives of Artin L-functions at negative integers
3 Feb 2014, 14:30 – 15:30

We shall describe a conjecture relating the logarithmic derivatives of Artin L-functions at negative integers to certain arithmetic invariants of Shimura varieties, which are described via Arakelov theory. This conjecture may be viewed as a higher-dimensional generalisation of the formula of Chowla and Selberg computing the periods of CM elliptic curves. In some situations, the conjecture can be proven using some deep results of JM Bismut. The talk will be aimed at a general mathematical audience and will focus on historical aspects.
This is joint work with V. Maillot.

http://www.math.univ-toulouse.fr/~rossler/