Caltech Number Theory Learning Seminar: Lawrence–Venkatesh Method

Spring 2024


This is the website for the Caltech Number Theory Learning Seminar. This is a weekly seminar intended to understand Lawrence and Venkatesh's proof of the Mordell Conjecture. Each week, a speaker will present on a topic. Here is the outline (PDF).
If you would like to be added to the seminar mailing list, send an email to me.
The seminar is scheduled to meet 3:00-4:30 PM Fridays in 255 Linde Hall.

Schedule (3:00-4:30 PM Fridays, 255 Linde Hall)

Date Speaker Topic Notes (PDF)
April 12 Roy Zhao Comparison of Faltings' Theorems Proofs PDF
April 19 Roy Zhao The Gauss–Manin Connection and Complex Period Morphism PDF
April 26 Roy Zhao Algebraic de Rham Cohomology PDF
May 3 Yuxin Lin Crystalline Cohomology PDF
May 8 (4:00 PM) Yuxin Lin p-adic Hodge Theory Basics
May 22 (4:00 PM) Yu Fu The p-adic Period Morphism
May 29 (4:00 PM) Roy Zhao The S-unit Equation
May 31 Roy Zhao Proof of Faltings' Theorem