STAGE Seminar

Friday, February 26, 2021 at 1:00pm to 2:30pm

Virtual Event

Featured Speaker:  Naomi Sweeting (Harvard University)

Title:  Crystalline cohomology

Abstract:  This talk will provide an overview of key concepts in crystalline cohomology. We will begin with Grothendieck's heuristic argument that, because de Rham cohomology is independent of choice of smooth lift, an intrinsic characteristic zero-valued cohomology should exist for schemes in characteristic p. We will then discuss divided power structures and the crystalline site. After stating the key theorems, we will describe a relative setup in which the general theory of topoi plays a more prominent role. We will conclude with sketches of crucial ideas in the comparison isomorphisms, and a glimpse of the relationship between crystals and connections.


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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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