Abstract:
Many geometric applications of PDEs depend on transversality results, e.g. in gauge theory or symplectic topology. One needs certain moduli spaces of solutions to elliptic PDEs such as Seiberg-Witten monopoles or pseudoholomorphic curves to be "transversely cut out", so that they are smooth and have the expected dimension. A problem arises: these PDEs often come with natural symmetries, and everyone knows that you cannot have transversality and symmetry at the same time. In this talk, I will outline a general strategy to deal with transversality without sacrificing symmetry, and discuss what conditions need to be checked before you can apply it to your favorite PDE.
Angelegt am Tuesday, 30.03.2021 14:21 von mathsekr
Geändert am Monday, 17.05.2021 09:02 von mathsekr
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