Small Conference "Cohomology of Moduli Spaces"

Organized by

Carel Faber
Gerard van der Geer

The small-scale conference will be held at the Korteweg-de Vries Instituut of the University of Amsterdam from Monday, December 16 until Friday, December 20, 2002.

The room where the lectures are held is Room 227 (second floor) in the Euclides building Plantage Muidergracht 24, Amsterdam. You find help for finding your way at www.science.uva.nl/research/math/location.html

We are inviting a number of leading international experts in this field, but we also hope that many young researchers take part. As the title indicates the cohomology of moduli spaces, esp.~of curves and abelian varieties, forms the central theme; both the geometric and arithmetic aspects will play a prominent role. We are hoping for interaction between representatives of the various aspects of the field.

Expected speakers include

B. Edixhoven, T. Ekedahl, E. Getzler, G. Harder, S. Keel, S. Kudla, E. Looijenga, I. Madsen, B. Moonen, F.Oort, R. Pandharipande.

People who wish to participate in this conference should contact one of the organizers, preferably before October 15, 2002. They will then be provided with more detailed information. Unfortunately, in general the organizers will not be able to provide financial aid to participants. Participants should apply to their home institution for financial support. If you want to have more information please do not hesitate to contact one of the organizers (our e-mail addresses are faber@math.kth.se and geer@science.uva.nl).

The program

10.00-11.00 Bas Edixhoven: On rational points on modular curves, after Pierre Parent.
11.30-12.30 Guenter Harder: Cohomology of local systems I
14.00-15.00 Torsten Ekedahl: Cohomology of the stack of monogenic maps
15.30-16.30 Steve Kudla: Algebraic cycles on arithmetic quotients of O(n,2)type
Tuesday
10.00-11.00 Gunther Cornelissen: Equivariant deformation theory of curves in positive characteristic
11.30-12.30 Gerard van der Geer: Cohomology of local systems and Siegel modular forms
14.00-15.00 Ralph Kaufmann : Arc Operads, their Batalin Vilkovisky structure and relations to string topology and Connes-Kreimers Hopf algebra
15.30-16.30 Rahul Pandharipande: A non-tautological algebraic class on $\bar{M}_{2,22}$
Wednesday
10.00-11.00 Frans Oort: Purity reconsidered
11.30-12.30 Guenter Harder: Cohomology of local systems II
14.00-15.00 Ib Madsen: The stable mapping class group and the Mumford conjecture I
15.30-16.30 Sean Keel: Oorts conjecture for A_g \otimes {\Bbb C}
Thursday
10.00-11.00 Carel Faber: Tautological rings of moduli spaces of curves
11.30-12.30 Ib Madsen: The stable mapping class group and the Mumford conjecture II
14.00-15.00 Fumiharu Kato: Moduli of log curves
15.30-16.30 Rahul Pandharipande: Gromov-Witten theory
Friday (note the change in time schedule)
10.00-11.00 Eduard Looijenga: Arithmetic arrangements and their occurrence in moduli theory
11:15-12:15: Ezra Getzler: The rational cohomology groups of the Deligne-Mumford compactification of M_{1,n}
12.30-13.30 Sean Keel Contractions of {\overline M}_{g,n} in positive characteristic