Core topics in modern number theory. I'.

Speaker:Ivan Fesenko (The University of Warwick)
Schedule:Tuesday 15:20-17:00, Thursday 10:20-12:00, December 1,2022-April 20,2023
Venue:Zoom Meeting ID: 687 513 9542 Passcode: YMSC
Date:2022-12-01~2023-04-20

Target Audience: Undergraduate students, graduate students, postdocs, professors, not necessarily working in number theory.

Teaching Language: English

Mode of teaching: Online for now.


Prerequisites:

Basic number theory and commutative algebra, such as congruences, quadratic reciprocity law, groups, commutative rings.


Description:

Researchers in one area are often unable to understand research work in another area, even inside number theory. Still, there are few common underlying fundamental theories that unite many areas. This first series of lectures will present some fundamental unifying theories in number theory. They will include class field theory and its three generalisations: higher class field theory, Langlands program, anabelian geometry.


Source:

This recent paper in the EMS Surveys: https://ivanfesenko.org/wp-content/uploads/2021/11/232.pdf


Registration List Link:

https://www.wjx.top/vm/hNd96OF.aspx#