Seminars

A working principle on the geometry of fibrations

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Seminars

Jason Lo

2017-01-03
13:20:00 - 14:20:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)



Intuitively, the geometry of an elliptic fibration should mimic the geometry of an elliptic curve if we are willing to take a `limit towards the generic fiber'. In this talk, I will explain how this idea can be made precise and can guide us in understanding relative Fourier-Mukai transforms $\Phi$ on elliptic fibrations. As an application, I will give an answer to the following question: what happens to slope stable sheaves under $\Phi$?