Fundamental group in characteristic p>0

Thời gian: 14:30 đến 15:30 Ngày 25/11/2021

Địa điểm: C101, VIASM

Báo cáo viên: Đặng Quốc Huy - VIASM

Tóm tắt:

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.