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Graphs on the level sets of harmonic polynomials
Geometry/Topology| Speaker: | Adam Jacob, UC Davis |
| Location: | 2112 MSB |
| Start time: | Tue, Feb 4 2025, 2:10PM |
The deformed Hermitian-Yang-Mills equation can be defined on any complex manifold, and is a complexified version of the special Lagrangian graph equation. For a class of manifolds with large symmetry, finding a solution to this equation reduces to an intersting problem in the complex plane, namely finding a portion of the level curve of a Harmonic polynomial that remains graphical over an interval in the real axis. I will discuss how to approach this problem with techniques motivated by GIT.