STAGE Seminar

Monday, September 28, 2020 at 3:00pm to 4:30pm

Virtual Event

Featured Speaker:  Samuel Marks (Harvard)

Title:  Rationality and functional equation of the zeta function

Abstract:  Given a variety X/𝔽q, the étale cohomology groups Hi(X͞𝔽q,ℚ )come equipped with an action of Gal(͞𝔽q/𝔽q), and in particular with an action of the q-power Frobenius.  This Frobenius action can also be described as coming from the Frobenius morphism Fr: X → X. By using these two perspectives on the Frobenius and some abstract cohomological inputs, we deduce the rationality and functional equation of Z(X,T) for nice varieties X.

Reference: Jannsen, Deligne's proof of the Weil-conjecture (course notes), Section 1.

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

Website

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

Department
Department of Mathematics
Hashtag

#mathematics

Contact Email

rzammuto@mit.edu

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