The algebraic complexity of singularities of varieties -- Nero Budur

<p>A topological invariant of singularities is, for example, the
Milnor fiber. An algebraic invariant is the mixed Hodge structure on the
Milnor fiber. We describe various approaches to understanding the algebraic
complexity of singularities and the relations among them. Some of this is
joint work with M. Saito and M. Mustata.