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Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
14
votes
Which nonlinear PDEs are of interest to algebraic geometers and why?
It's a bit embarrassing to be giving this answer when there are many others far better qualified, but: in connection with the minimal model program, there have been efforts to understand canonical mod …
25
votes
Which nonlinear PDEs are of interest to algebraic geometers and why?
Strictly speaking, this is not meant as an answer to the question---it's more like a suggestion that you might find it interesting to also ask a related, but different, question.
I would say the most …