Multiplier Ideals and Singularities
| COMPLEX ALGEBRAIC GEOMETRY | |
| Topic: | Multiplier Ideals and Singularities |
| Speaker: | Nero Budur |
| 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.