STAGE Seminar

Friday, February 19, 2021 at 1:00pm to 2:30pm

Virtual Event

Featured Speaker:  Ishan Levy (MIT)

Title:  Infinitesimal site and algebraic de Rham cohomology

Abstract:  The de Rham cohomology of the analytification of a smooth projective variety over ℂ can be computed via an algebraic de Rham complex. Unfortunately, the algebraic de Rham complex is somewhat poorly behaved in positive characteristic. To solve this problem, Grothendieck showed first how to reinterpret de Rham cohomology in characteristic 0 as cohomology on a site (the infinitesimal site), and second how to modify the infinitesimal site to obtain a site that works well also in characteristic p (the crystalline site).

In this talk, we will explain algebraic de Rham cohomology and define the infinitesimal and stratifying sites. We also will define the notion of a classical Weil cohomology theory, which de Rham cohomology (char 0) and crystalline cohomology give examples of.

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For instant registration go to 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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