### Notes on p-adic Hodge theoretic approach towards Mordell's conjecture

These notes surveys a new proof of Mordellâ€™s conjecture using p-adic Hodge theoretic approach.

These notes surveys a new proof of Mordellâ€™s conjecture using p-adic Hodge theoretic approach.

This paper is developed based on breif notes of what I have prepared for the Algebraic Number Theory Seminar in 2018 spring semester.

Technically, this paper is a brief summary of what I have read on Chevalley and Eilenbergâ€™s famous thesis Cohomology theory of Lie groups and Lie algebras, as a report of self-learning on the course Lie Groups instructed by Professor WANG Song.

This paper is a breif summary of what I have read on this interesting paper On algebraic cellular automata.