Fundamental group in characteristic p>0

Time: 14:30 to  15:30 Ngày 25/11/2021

Venue/Location: C101, VIASM

Speaker: Đặng Quốc Huy - VIASM

Content:

Unlike in characteristic zero, where one can acquire a geometric intuition from the classical theory of Riemann surfaces, many phenomena only appear in the case of positive characteristics. One example is the fundamental group of an affine line over a field of characteristic p is non-trivial! In this talk, I will discuss this phenomenon and introduce some research directions inspired by it, for instance, Abhyankar's conjectures (in Galois theory) and the lifting problem for covers.