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.

Instantly register for live stream access; https://researchseminars.org/seminar/STAGE.

 

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By Audience

MIT Community, Public

Events By School

School of Science

Tags

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

Website

https://math.mit.edu/nt/

Department
Department of Mathematics
Hashtag

#mathematics

Contact Email

rzammuto@mit.edu

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