A working principle on the geometry of fibrations
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 $\Phi$?