代数幾何学セミナー


2017/8/17(Thu)

16:00--17:30 数学教室 新セミナー室(D505)

Falko Gauss

The University of Mannheim

Torelli problems and the moduli space of marked singularities

The moduli space of marked singularities parameterizes mu-homotopic isolated hypersurface singularities equipped with certain markings. This moduli space can be understood either as a global mu-constant stratum or as a Teichmüller space of singularities. The additional marking allows one to formulate the conjecture on the analytic behavior of singularities within a distinguished mu-homotopy class in terms of a Torelli type problem in an efficient way. In my talk I will discuss the history of this problem and introduce carefully the notion of a marked singularity.