The construction of solutions of geometric structures and geometric PDE on manifolds is now pervasive in numerous areas of geometry. The most famous and still ideal example is Taubes' construction of self-dual Yang-Mills instantons. This course will be a tour through various instances of the gluing technique, mainly restricted to geometric problems involving Riemannian metrics, especially Einstein metrics.
A selected list of papers on this topic is here
Instructor: Michael Anderson
Office: 4-110 Math Tower
Email: anderson at math.sunysb.edu
Web site: http://www.math.sunysb.edu/~anderson
Office hours: Tu/Th 1:00-2:30 & by appointment in 4-110 Math Tower
The grade for the class will be based on class participation and/or lecture presentation.