Overall case
============

This bid is for the 2007--08 Warwick symposium in Algebraic Geometry
WAG07-08. It will feature several weeks of teach-in, active periods
including regular courses and seminars, and 4 or 5 international
workshops on major topics of current interest in the subject. Follow-up
activities will take place over 3 or 4 years, including preparing books
and papers arising out of WAG07-08 and lecture courses and summer
schools to disseminate the material. The major research topics we
feature at the outset are:

Research topics:
 HD MMP: higher dimensional minimal model program
 XPL: explicit methods, surfaces, 3-folds, explicit birational geometry
 TQFT: geometry of topological quantum field theory
 ARITH: rational points on curves and higher dimensional varieties
 MOD: moduli spaces: Ag, Mg, GHilb and VBAC
others (mirror symmetry, GW theory of Fano orbifolds ..)

Technical subjects:
 graded rings, syzygies, weighted homogeneous spaces
 toric geometry, tropical constructions
 COM: commutative algebra, complexes and applications of computer
algebra
 DER: derived categories
others (stacks, Picard-Fuchs diff equations, ..)

We group these together to provide a focus for active periods and
workshops, and to have something to argue about in this application.
However, we view it as a creative aspect of our approach that our
interests are inextricably tangled together both with each other, and
with other research areas in geometry, algebra and theoretical physics.
These topics between them cover most of the most exciting and innovative
issues in current algebraic geometry research.

In the calendar, the intention is that a 1-week workshop is preceded by
a couple of weeks or couple of months of active seminars, including in
most cases an introductory workshop or school for nonspecialists (maybe
only 1 or 2 days); how this works out will vary between the different
activities.


7 Cases of the main components:
HD MMP, XPL, TQFT, ARITH, DER, COM, MOD