When:
Monday, July 21, 2025
3:00 PM - 5:00 PM CT
Where: Lunt Hall, 104, 2033 Sheridan Road, Evanston, IL 60208 map it
Audience: Faculty/Staff - Student - Post Docs/Docs - Graduate Students
Contact:
Deven Manam
Group: Department of Mathematics: General Interest
Category: Lectures & Meetings
Title: Some Observations on Syntomic Cohomology
Abstract: We identify Drinfeld's formal group on the prismatization of Spf Z_p with a formal group arising from homotopy theory, given locally by the Quillen formal group of a decompleted variant of topological periodic cyclic homology. We also prove that this formal group extends to the syntomization of Spf Z_p, and that it admits a certain algebraization conjectured by Drinfeld. Finally, we give a simple description of v_1-inverted relative syntomic cohomology in terms of étale cohomology, answering a question of Scholze.