MATH Seminar
| Title: Solving geometric variational problems by gluing |
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| Colloquium: Analysis and Differential Geometry |
| Speaker: Professor Matthew J. Gursky of University of Notre Dame |
| Contact: Vladimir Oliker, oliker@mathcs.emory.edu |
| Date: 2014-03-27 at 4:00PM |
| Venue: MSC W301 |
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| Abstract: In this talk I will describe give a schematic overview of a technique for constructing new solutions of geometric variational problems from known ones, called "gluing." I will focus on two examples which share a key feature, namely, conformal invariance. I will begin with an outline of the work of D. Joyce, who used gluing techniques to construct metrics of constant scalar curvature. Then, I will then describe some recent work with J. Viaclovsky, in which we create new examples of four-manifolds which are critical points of L^2-curvature functionals. |
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