Courses / Activities

An introduction to Grothendieck topology and faithfully flat descent

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Courses / Activities

Chi-Heng Lo

2018-07-20
11:30:00 - 12:30:00

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



I will introduce the Grothendieck topology on categories and define sheaves and cohomologies under this topology. Then, I will introduce the concept of descent datum for quasi-coherent sheaves with respect to a covering and prove that all descent data for quasi-coherent sheaves with respect to a fpqc covering are effective. Finally, I will prove the Hilbert theorem 90 as an application.