数论报告

摘要： Integral p-adic Hodge theory is the study about integral lattices in p-adic Galois representations, and it has proved to be very useful in many applications. In this talk, we will discuss about Breuil’s classification of integral lattices in semi-stable Galois representations via the so called ”strongly divisible lattices”. By generalizing Tong Liu’s work to the ”borderline” case, we now have a complete proof of Breuil’s conjecture.