Szymon Brzostowski

Title: On the Lojasiewicz exponent in singularity theory 

Abstract: During the talk we are going to discuss the Lojasiewicz exponent  
from two viewpoints. The first is the complex analytic one, where we shall  
concentrate on the local situation and isolated hypersurface singularities. 
In this context, we shall first look through the results on the well-studied 
two-variable case and then explain what is, and what is not, currently known 
in many dimensions. The second viewpoint is more general, ring-theoretic one. 
Here, we shall present some of the basic properties of the Lojasiewicz exponent 
and then sketch our recent joint results with T. Rodak.