Learning mini-workshop on p-adic Hodge Theory — 3 Day Workshop
Learning mini-workshop on p-adic Hodge Theory — 3 Day Workshop
Beilinson’s and Scholze’s approaches to p-adic Hodge theory as well as basics of prismatic cohomology + additional talks on applications of p-adic Hodge theory in geometry, number theory, and commutative algebra.
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Schedule
October 6, Friday, McDonnell A01
10:00am - 11:00am Emanuel Reinecke
The p-adic de Rham comparison theorem
11:00am - 12:00pm Shizhang Li
Pro-étale site and perfectoid spaces
12:00pm - 12:30pm Lunch
12:30 pm - 1:30 pm Bogdan ZavyalovÌý
ÌýDelta rings and prisms
1:30pm - 2:30pm Andrew O’Desky
Hodge numbers of birational Calabi-Yau varieties via p-adic Hodge theoryÌý
October 7, Saturday, Fine Hall 314
10:00am - 11:00am Emanuel Reinecke
The truncated p-adic period map
11:15am - 12:15pm Shizhang Li
Primitive comparison
12:15pm - 1:15pm Lunch
1:15 pm - 2:15 pmÌý Bogdan Zavyalov
Prismatic cohomology
2:30pm - 3:30pm Mingjia ZhangÌý
Period maps in p-adic geometryÌý
4pm-5pm Emanuel Reinecke
The p-adic period isomorphism
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October 8, Sunday, Fine Hall 314
10:00am - 11:00am Shizhang Li
Derived de Rham and period sheaves
11:15am - 12:15pm Lue Pan
Modularity theorem
12:15pm - 1:15pmÌý Lunch
1:15 pm - 2:15 pmÌý Linquan MaÌý
Applications of p-adic Hodge theory in commutative algebra
2:30pm - 3:30pm Bogdan ZavyalovÌý
Syntomic Cohomology
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