Local analytic geometry is concerned with germs of zero sets of analytic functions, that is, the study of such sets in the neighbourhood of a point.
The school intends to introduce PhD students and young researchers to local analytic geometry and to enable them to receive the required knowledge for doing significant research in this area of mathematics.
In this school we plan to give introductions to topics related to local analytic geometry and computational algebra. A basis for the courses will be the book of Theo de Jong and Gerhard Pfister: ’Local Analytic Geometry’. The aim of the school is to give an overview of local methods in geometry and their applications in various fields of mathematical and non-mathematical sciences. We also want to give a course in which it is shown how the existing computer algebra systems can be used to handle non-trivial examples in the above mentioned theories and how the algorithms based on Gröbner bases are implemented in these systems.