Courses / Activities

Derived categories under standard flips

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Courses / Activities

2018-08-23
10:00:00 - 11:00:00

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



In this talk we will first see there are a full exceptional sequence and a semi-orthogonal decomposition in the derived category of a projective space. Later, we will prove Orlov's result on the derived categories under blow-ups. Finally, we will introduce standard flips and flops, the simplest birational correspondences, and prove that the derived categories do not change under standard flops.