Summer school: Special values of L-functions
ENS Lyon, June, 2-6, 2014
L-functions, or zeta functions, are at the heart of arithmetic geometry. The mysterious link between L-functions and the cohomology of algebraic varieties has been explored by Beilinson in a series of conjectures that have been refined succesively by Bloch and Kato, Fontaine and Perrin-Riou, Burns and Flach. Simultaneously, the theory of mixed motives, in full expansion under the impulsion of Beilinson and then Voevodsky, aimed at defining a universal cohomology theory for algebraic varieties which is the key tool to formulate and explore Beilinson's conjectures.
List of courses:
- L-functions and Galois cohomology, J. Johnson-Leung.
- Regulators and motives, J. Wildeshaus.
- Conjectures sur les valeurs spéciales, F. Brunault & O. Fouquet (in replacement of M. Flach who had to cancel his participation).
- Modular aspects, O. Fouquet.
Detailed program: format pdf