MS2* ~ Sunday, May 21, 1995 ~ 10:00 AM*
## Dynamics of Complex Singularities

Singularities occur in many problems of physical and mathematical interest, and are important generators of small scale behavior and complexity. One way by which a real singularity can form is that a singularity at a complex position moves until it hits the real axis. The speakers in this minisymposium will present analytic, geometric, numerical and physical aspects of the dynamics of complex singularities: a geometrical theory of PDEs, in which singularities can be smoothly described; numerical computations of complex singularity dynamics; and applications to problems involving shock waves, vortical flows, fluid interfaces and pattern defects.
Organizers: Russel E. Caflisch, University of California, Los Angeles ; and Nicholas M. Ercolani, University of Arizona

**Singularities and Defects in Evolving Patterns**
*Nicholas M. Ercolani*, Organizer; Robert Indik and Alan Newell, University of Arizona; Thierry Passot, Observatoire de Nice, France
**The Effects of Complex Singularities on an Evolving Hele-Shaw Interface**
- Michael Siegel, Ohio State University, Columbus
**Towards a Geometry of Differential Equations**
- Lucas Hsu, Institute for Advanced Study, Princeton
**Singularity Formation in Vortical Flows**
*Russel E. Caflisch* and Nicholas M. Ercolani, Organizers; and Gregory Steele, University of California, Los Angeles

*3/15/95*