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The Fourier-Mukai Transform and Equations of KP-type in Several VariablesMathematical Physics & Probability
|Speaker: ||Mitchell Rothstein, MSRI|
|Location: ||693 Kerr|
|Start time: ||Tue, Feb 19 2002, 3:10PM|
There are many approaches to the KP-hierarchy,
ranging from the formal approach in terms of vertex algebras to the more geometric approach using spectral curves. The theory is well-understood in one space dimension, but little has been done in higher dimensions. By casting the geometric approach in terms of the Fourier-Mukai transform, one finds that the theory generalizes nicely, to produce solutions of equations of KP-type associated to varieties of any dimension.
Motohico Mulase is the host.