STAGE Seminar

Monday, November 16, 2020 at 3:00pm to 4:30pm

Virtual Event

Featured Speaker:  Zhiyu Zhang (MIT)

Title:  Vanishing cycles and deformation to hypersurfaces

Abstract:  Firstly, we give a very brief review of Weil conjecture. Following works of Scholl and Katz, we then outline a "10-line" proof of the Weil conjecture by deformation to smooth hypersurfaces and induction on the dimension. In particular, we will explain the last step i.e how to derive RH of the special fiber from the (equal characteristic) weight-monodromy conjecture of the generic fiber, using the weight spectral sequence as an input.

Reference: Scholl, Hypersurfaces and the Weil conjectures, Sections 3 and 4.

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Events By Interest


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MIT Community, Public

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School of Science


Bjorn Poonen, stage_sem, Francesc Fité, Hyuk Jun Kweon, Ziquan Yang, Zhiyu Zhang


Department of Mathematics


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