Bradley Dirks | Minimal Exponents for Hypersurfaces and Locally Complete Intersections
Abstract: The minimal exponent of a hypersurface is an important singularity invariant which, in the case of isolated singularities in the 1980s, was studied via the cohomology of the Milnor fiber of the hypersurface. In general, it is studied using differential operators and the Bernstein-Sato polynomial. In this talk, I will define the minimal exponent for hypersurfaces, give some examples and properties, and explain recent joint work with Chen, Mustață and Olano in which we define and study the invariant for locally complete intersection singularities. Time permitting, I will relate this invariant to the classification of singularities for such varieties.
