An Invitation to Representation Theory (in Farsi)

The aim of this lecture series is to give a tour of representation theory with the goal of discussing parts of the Langlands program.

In order to make the series accessible to graduate students we will proceed at a reasonable pace and presentations will be detailed.

The language of this seminar is Farsi. For a related Farsi algebraic geometry seminar, see this link.

References, notes, and videos are available at this link:

Here are some useful references:

Baker, representation theory of finite groups

Serre, Linear representation of finite groups

Fulton and Harris, Representation theory: a first course

Etingoff et al., Introduction to representation theory

Kisin https://www.ams.org/notices/200706/tx070600718p.pdf

Harris https://math.berkeley.edu/~lott/Lecture1.pdf

Schedule of talks (Year 1400):

Talk 1 (2 of Ordibehesht) :Overview of representation theory

Talk 2 (9 of Ordibehesht): Definition and Examples of representations

Talk 3 (16 of Ordibehesht): Complete reducibility.

Talk 4 (23 of Ordibehesht): Introduction to Langlands program. A couple of useful references are the following:

Talk 5 (30 Ordibehesht) : Introduction to Langlands program II

Talk 6 (6 Khordadad) : Hecke algebras

Talk 7 (27 Khordadad) : How to apply for graduate schedule?