Ideal-Theoretic Study of Critical Points

Description of video

Date: 4/5/24
Speaker :Alex Hof

AGDT Seminar



    Abstract: The local behavior of a holomorphic function at a critical point is described by the Milnor f ibration. We explain how the ideal generated by the function’s partial derivatives in the local power series ring can be used to obtain information about this behavior, and in particular its variation in families, for arbitrary-dimensional singularities.