The following program of special geometry seminars will take place at Tokyo Metropolitan University, following the Kobe conference.

All talks will be held in the Dept. of Mathematics (6th floor, Faculty of Science Building).

WEDNESDAY 16 JULY 2003

16:00-17:00
Iskander A. Taimanov, Institute of Mathematics, Novosibirsk
[Topic: integrable systems, surface theory, and spectral curves]

FRIDAY 18 JULY 2003

13:30-14:30
Matthias Weber, Indiana University
Periods of meromorphic 1-forms and minimal surfaces

Abstract: The existence of minimal surfaces in euclidean space depends crucially
on properties of periods of meromorphic 1-forms on Riemann surfaces.
Therefore, any information relating the periods of meromorphic forms to
other data of a Riemann surface should have implications for minimal surfaces.
A typical example of such a relationship is given by the map that maps
the modular invariant of a torus to its lattice constant. This map is highly transcendental
but can be understood as a Riemann mapping function to a triangle bounded by circular arcs.
We will give a generalization of this very classical fact where we map
the modular invariant of a torus to the period quotient of certain
meromorphic (instead of holomorphic) 1-forms, and again obtain circular triangles as image
domains. We then discuss several applications of this result to existence and
uniqueness questions of minimal surfaces, including the Chen-Gackstatter surface, the Costa
surface, and the translation invariant helicoid with handles.

15:00-16:00
Emma Carberry, Massachusetts Institute of Technology
Minimal Lagrangian tori in CP^2 come in real families of every dimension

Abstract: Special Lagrangian 3-folds are of interest in mirror symmetry, and in
particular play an important role in the SYZ conjecture. One wishes to
understand the singularities that can develop in families of these
3-folds; the relevant local model is provided by special Lagrangian cones
in complex 3-space. When the link of the cone is a torus, there is a
natural invariant g associated to the cone, namely the genus of its
spectral curve. We show that for each g there are countably many real
(g-2)-dimensional families of such special Lagrangian cones. This is joint work with Ian McIntosh.

16:30-17:30
Luc Vrancken, Universite de Valenciennes
Minimal submanifolds of the nearly Kaehler 6-sphere

MONDAY 21 JULY 2003

13:30-14:30
John Bolton, University of Durham
Transforms of minimal surfaces in the 5-sphere

15:00-16:00
Franz Pedit, University of Massachusetts, Amherst
TBA

16:30-17:30
Josef Dorfmeister, T.U. Muenchen
[Topic: CMC surfaces]