5 January - 3 July 1998
Organisers: J-L Colliot-Thélène (Orsay); J Nekovár (Cambridge); C Soulé (IHES)
09.00-11.00 Registration
11.00-11.30 Coffee
11.30-12.30 A Goncharov (Brown)
Multiple $\zeta$-values and modular complexes
13.00-14.00 Lunch
14.00-15.30 Pilgrimage to the bank
15.30-16.30 P Vojta (Berkeley)
On Bu"chi's problem and Hilbert's tenth problem
16.30-17.00 Tea
17.00-18.00 KI Yoshikawa (Nagoya)
Analytic torsion and automorphic forms on the moduli space
18.00-19.00 Wine reception
10.00-11.00 JB Bost (CNRS, IHES)
Intersection theory on arithmetic surfaces, $L^2_1$-Green functions,
and hyperbolic metrics
11.00-11.30 Coffee
11.30-12.30 M Rapoport (Köln)
Height pairings on Shimura curves and p-adic uniformization
13.00-14.00 Lunch
15.00-16.00 N Dan (Paris 13)
Analytic continuation of Green currents
16.00-17.00 Tea
17.00-18.00 A Moriwaki (Kyoto)
Inequalitites for semistable families of arithmetic varieties
10.00-11.00 H Tamvakis (University of Pennsylvania)
Arithmetic Schubert calculus
11.00-11.30 Coffee
11.30-12.30 U Tipp (Nottingham)
A Gross-Zagier formula over function fields
13.00-14.00 Lunch
15.00-16.00 K Köhler (Bonn)
The arithmetic Lefschetz fixed point formula and heights
16.00-18.30 Free time
18.30- 19.30 Reception at the Cambridge University Press bookstore
10.00-11.00 AJ Scholl (Durham)
Kato's Euler systems and explicit reciprocity laws
11.00-11.30 Coffee
11.30-12.30 SW Zhang (Columbia)
A Gross-Zagier formula over totally real fields
13.00-14.00 Lunch
15.00-16.00 J Kramer (Humboldt University)
Green currents, automorphic forms and L-functions
16.00-17.00 Tea
17.00-18.00 T Tucker (Berkeley)
Dirichlet's theorem, Vojta's inequality, Vojta's conjecture, and related
problems
10.00-11.00 J Burgos (Barcelona)
Higher Bott-Chern forms and Beilinson's regulator
11.00-11.30 Coffee
11.30-12.30 E Ullmo (Orsay)
Falting's height of quotients of $J_0(N)$ and related topics
13.00-14.00 Lunch
15.00-16.00 P Michel (Orsay)
Non-vanishing of automorphic L-functions (from the analytic point of
view) : results and applications
16.00-17.00 Tea
17.00-18.00 M Taylor (UMIST)
Epsilon constants of metrised line bundles