|COMPLEX ALGEBRAIC GEOMETRY|
|Topic:||Multiplier Ideals and Singularities|
|Affiliation:||Johns Hopkins University and Member, School of Mathematics|
|Date:||Wednesday, October 18|
|Time/Room:||1:00pm - 2:00pm/S-101|
The method of multiplier ideals is one of the most versatile tools to study singularities of varieties. For the local theory, we present a connection between multiplier ideals and D-modules based on joint work with M. Mustata and M. Saito which has applications to Hodge spectra and Bernstein-Sato polynomials. For the global theory, we show how the space of unitary local systems on the complement of a divisor in a projective variety is a natural setting for studying global invariants of the singularities of the divisor involving multiplier ideals.