Intercity Number Theory Seminar

Fall 2001

The first two meetings this semester are largely devoted to zeta functions in order to prepare for the meeting on Sep 17.

In four lectures Daqing Wan will give a reasonably self-contained introduction to the proof of Dwork's conjecture, at the level of "linear algebra and calculus" over "p-adic power series rings". The general theme of these lectures is geometric and arithmetic variation of zeta functions over finite fields.

René Schoof, Bart de Smit and Hendrik Lenstra will give three lectures to review basic properties and examples of zeta functions in an arithmetic setting.

Aug 31 Mathematisch Instituut Utrecht, Room K11 (map/route)
11:00-11:50 René Schoof, Zeta functions I
12:10-13:00 Daqing Wan, Introduction to Dwork's Conjecture I
14:00-14:50 Daqing Wan, Introduction to Dwork's Conjecture II
15:00-15:50 Gunther Cornelissen, Diangle groups and their deformations
Abstract: Triangle groups are a well known object in the theory of Riemann surfaces. This talk is about the fact that "diangle groups" exist in the theory of non-archimedean uniformization of curves in positive characteristic, how to classify them and use them to determine automorphism groups of Mumford curves (analogue of Hurwitz's bound) and equivariant deformation spaces of such curves.
Sep 7 Mathematisch Instituut Leiden, Room 404
Peter Stevenhagen will give his inaugural lecture at 4 PM in the Academiegebouw (Rapenburg 73).
10:00-10:50 Bart de Smit, Zeta functions II
11:10-12:00 Hendrik Lenstra, Zeta functions III
13:00-13:50 Daqing Wan, Introduction to Dwork's Conjecture III
14:10-15:00 Daqing Wan, Introduction to Dwork's Conjecture IV
Sep 17-21 Workshop L-Functions from Algebraic Geometry at the Lorentz Center in Leiden
October 12, Groningen, room RC 150 (map/route)

11:30-12:20 Roland Auer, Legendre elliptic curves over finite fields
13:20-15:10 Marius van der Put, A description of the universal differential Galois group
15:30-16:20Gert-Jan van der Heiden, A Weil pairing for Drinfeld modules

October 26, Leiden, Room 174 (map/route)

11:00-12:00  Hendrik Lenstra, Construction of the Witt ring
12:15-13:15 Jesse Elliott, Generalized Witt Vectors from Profinite Groups I
14:30-15:30 Jesse Elliott, Generalized Witt Vectors from Profinite Groups II
16:00-17:00 Hendrik Lenstra, Witt rings and zeta functions

November 9, Amsterdam (UvA), Room P017.

11:00-12:00  Gerard van der Geer, Counting curves over finite fields and Siegel modular forms
12:15-13:15 A. Biró (Budapest) On the class number one problem for special real quadratic fields
14:30-16:30 Harm Voskuil, Mumford curves, discontinuous groups and coverings of the projective line

November 23, Leiden, Room 412

Preparatory meeting for the workshop Anabelian geometry

11:00-13:00  Hendrik Lenstra, Introduction to the algebraic fundamental group
14:00-16:00 Ben Moonen, Introduction to p-adic Hodge theory

November 26-30, EIDMA/Stieltjesweek "algorithms in number theory" (Lorentz Center)
December 3-5, Workshop Anabelian geometry (Lorentz Center)