Herbet Kurke: Higher dimensional KP systems and algebraic geometry

Abstract:
This will be a report an a common project with D.Osipov and A Zheglov.
There is a well established connection between some non-linear
evolution equations and 1-dim algebraic geometry, by the work of many
aothors. It is a benefit for both sides There are several attempts to
generalize this to higher dim analogues of the KP hierarchie and
higher dimensional algebraic geometry.  I intend to give a report on
the state of art concerning these questions,