Courses / ActivitiesAn introduction to Grothendieck topology and faithfully flat descent
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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.
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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.