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 Zavyalov 

 Delta rings and prisms

1:30pm - 2:30pm Andrew O’Desky

Hodge numbers of birational Calabi-Yau varieties via p-adic Hodge theory 

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 pm  Bogdan Zavyalov

Prismatic cohomology

2:30pm - 3:30pm Mingjia Zhang 

Period maps in p-adic geometry 

4pm-5pm Emanuel Reinecke

The p-adic period isomorphism

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 - 1:15pm  Lunch

1:15 pm - 2:15 pm  Linquan Ma 

Applications of p-adic Hodge theory in commutative algebra

2:30pm - 3:30pm Bogdan Zavyalov 

Syntomic Cohomology