Grothendieck's specialization homomorphism and and the lifting problem of schemes in positive characteristic
Speaker: Nguyen The Hoang

Time: 15:30-16:45, 14-12-2023

Venue: Room 612, Building A6, Institute of Mathematics, VAST

Join Zoom Meeting

https://us06web.zoom.us/j/82927090825?pwd=sCz1LoTwwU9lBgM74B7Q1G1jytdD3m.1

Meeting ID: 829 2709 0825
Passcode: 123456

Abstract: This talk will first explain Grothendiecks specialization homomorphism of the 'etale fundamental group. References: [SGA1, Expos_e XIII, 2.10]. This map is used to compare fundamental group schemes in zero and positive characteristic and whence derived properties of the _etale fundamental group in positive characteristic. The results obtained can be used to address the lifting problem: what are the obstructions to lifting a scheme in characteristic p to one in characteristic 0. The main reference are Sections 4 and 5 in [Esn23].

For more detail see here

Back

Highlights

23/04/24, Conference:
Some recent progress on selected problems in number theory
27/04/24, Conference:
Hội thảo Tối ưu và Tính toán khoa học lần thứ 22
28/05/24, Conference:
Hội nghị Đại số - Lý thuyết số - Hình hoc - Tô pô 2024
28/10/24, Conference:
School and Workshop “Selected topics in Arithmetic Algebraic Geometry”

New Scientiffic Publications